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1steps_hard_no_0
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the circle, making it smaller. <shapeB_step_0>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['scale', 0.5]]
|
hard
|
{"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [3.552713678800501e-16, 7.105427357601002e-16], "size": [59.73126308469467, 62.805166739594156]}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926], "edgecolor": "black", "center": [3.552713678800501e-16, 4.662936703425658e-16], "size": [66.98139394988227, 66.98139394988227]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_0.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_0.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [66.982, 66.982], "center": [-3.552713678800501e-16, 3.552713678800501e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [91.986, 82.59800000000001], "center": [1.5099033134902129e-15, 0.0], "color": [0.8341104266407503, 0.1626540971560848, 0.3552707002275215]}, {"name": "circle", "size": [73.616, 80.694], "center": [2.042810365310288e-15, 2.6645352591003757e-15], "color": [0.6701751743776934, 0.7018203134585513, 0.6835476655366672]}], "medium": [{"name": "circle", "size": [59.658, 55.34], "center": [-7.105427357601002e-16, 0.0], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [78.344, 75.526], "center": [3.552713678800501e-16, -3.730349362740526e-15], "color": [0.9538159275210801, 0.8758529403781941, 0.26338905075109076]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [86.68, 83.364], "center": [1.865174681370263e-15, 1.865174681370263e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "hard": [{"name": "circle", "size": [44.414, 40.201], "center": [4.999999999970584e-05, 2.4999999997854518e-05], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.982, 66.982], "center": [3.552713678800501e-16, -3.819167204710538e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [82.856, 78.658], "center": [0.00032500000000217354, 2.886579864025407e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [0.00020000000000024442, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_0.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_0.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_0.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "C", "hard": "D"}
|
||
1steps_hard_no_119
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle to the left by a significant amount. <shapeB_step_0>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [-30, 0]]]
|
hard
|
{"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3625026865502513, 0.3684118524639656, 0.9762874785692875], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [62.38601511685521, 65.59653821613074]}, "shape_B": {"name": "rectangle", "facecolor": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.352761751473544, 20.069623533794292]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_119.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [16.176, 10.034000000000002], "center": [0.0, 1.7763568394002505e-15], "color": [0.7916012896307182, 0.8858480336699703, 0.325896016829761]}, {"name": "rectangle", "size": [38.054, 33.55800000000001], "center": [0.0, 8.881784197001252e-16], "color": [0.43717502926126484, 0.5517078489548533, 0.49083160755990596]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "medium": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [12.449925820609508, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [20.069999999999997, 32.352000000000004], "center": [-1.7763568394002505e-15, 0.0], "color": [0.8689337559539068, 0.9517460276412456, 0.7239486144303212]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "hard": [{"name": "rectangle", "size": [29.91, 43.944], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [48.376, 43.496], "center": [-3.885780586188048e-16, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [62.385999999999996, 65.596], "center": [-30.0, 0.0], "color": [0.3625026865502513, 0.3684118524639656, 0.9762874785692875]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_119.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_119.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_119.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_119.png", "instructions": [["translate", [-30, 0]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the left by a significant amount. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "A", "hard": "B"}
|
||
1steps_hard_no_22
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the triangle, making it smaller. <shapeB_step_0>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['scale', 0.5]]
|
hard
|
{"instance_id": 22, "shape_A": {"name": "hexagon", "facecolor": [0.20297284053619957, 0.7167720473172957, 0.4589564373749567], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [60.39084790179809, 52.30000843903932]}, "shape_B": {"name": "triangle", "facecolor": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242], "edgecolor": "black", "center": [0.0, -2.3684757858670005e-15], "size": [36.82258863848975, 58.648335974176625]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_22.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_22.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_22.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_22.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_22.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_22.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_22.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [29.325000000000003, 18.411], "center": [-4.1785, -1.4985], "color": [0.6666569405518199, 0.0667438633594214, 0.7265377545536263]}, {"name": "triangle", "size": [36.822, 58.647999999999996], "center": [2.997, -8.357], "color": [0.9022347198222195, 0.9087364710382191, 0.4112781583695837]}, {"name": "triangle", "size": [51.831, 68.077], "center": [4.963833333333334, -9.4915], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [18.411, 29.325000000000003], "center": [-2.9605947323337506e-16, 5.921189464667501e-16], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}], "medium": [{"name": "triangle", "size": [59.087, 37.09], "center": [7.837166666666665, -3.3840000000000017], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [18.411, 29.325000000000003], "center": [-2.9605947323337506e-16, 5.921189464667501e-16], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [36.822, 58.647999999999996], "center": [2.997, -8.357], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [29.543, 18.545], "center": [3.9185000000000003, -1.6918333333333333], "color": [0.12415138285349181, 0.7414464830670469, 0.1684533735929824]}], "hard": [{"name": "triangle", "size": [18.411, 29.325000000000003], "center": [-2.9605947323337506e-16, 5.921189464667501e-16], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [5.1419999999999995, 32.759], "center": [0.07500000000000002, -5.2885], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [83.764, 13.555], "center": [13.42, -0.6228333333333333], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [55.46, 70.80799999999999], "center": [6.589000000000001, -11.777], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [30.196, 26.15], "center": [2.9605947323337506e-16, 0.0], "color": [0.20297284053619957, 0.7167720473172957, 0.4589564373749567]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [18.411, 29.325000000000003], "center": [-2.9605947323337506e-16, 5.921189464667501e-16], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_22.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_22.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_22.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_22.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "B", "hard": "A"}
|
||
1steps_hard_no_13
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount. <shapeB_step_0>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [-30, 0]]]
|
hard
|
{"instance_id": 13, "shape_A": {"name": "square", "facecolor": [0.2761000438384478, 0.11964959201073866, 0.7891437801948885], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.95733122182607, 33.95733122182607]}, "shape_B": {"name": "circle", "facecolor": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606], "edgecolor": "black", "center": [-5.329070518200751e-16, 7.549516567451064e-16], "size": [67.01328140023003, 67.01328140023003]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_13.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_13.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [88.453, 80.62], "center": [0.0002250000000003638, 9.999999999763532e-05], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [107.638, 95.354], "center": [-0.00010000000000136567, 7.499999999911466e-05], "color": [0.7657340955098555, 0.15413151393114954, 0.28312908353358535]}, {"name": "circle", "size": [67.014, 67.014], "center": [-30.0, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [67.014, 67.014], "center": [5.329070518200751e-16, -3.3306690738754696e-16], "color": [0.8190497337839815, 0.18986945244721887, 0.6832241825576808]}], "medium": [{"name": "circle", "size": [82.006, 84.75200000000001], "center": [-3.4638958368304883e-15, 6.217248937900876e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [33.507999999999996, 33.507999999999996], "center": [-5.000000000041638e-05, 9.999999999998899e-05], "color": [0.02170137145759954, 0.8219399224471144, 0.689719183909427]}, {"name": "circle", "size": [67.014, 67.014], "center": [5.329070518200751e-16, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [67.014, 67.014], "center": [-30.0, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}], "hard": [{"name": "circle", "size": [40.094, 36.426], "center": [-8.881784197001252e-16, -5.329070518200751e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [67.014, 67.014], "center": [-30.0, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [24.656680259499534, 67.014], "center": [6.661338147750939e-16, 1.7763568394002505e-15], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [67.014, 67.014], "center": [5.329070518200751e-16, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [33.958, 33.958], "center": [-30.0, 0.0], "color": [0.2761000438384478, 0.11964959201073866, 0.7891437801948885]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.014, 67.014], "center": [-30.0, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_13.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_13.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_13.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_13.png", "instructions": [["translate", [-30, 0]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "D", "hard": "B"}
|
||
1steps_hard_no_38
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and slightly upward. <shapeB_step_0>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['translate', [-30, 10]]]
|
hard
|
{"instance_id": 38, "shape_A": {"name": "pentagon", "facecolor": [0.9443639015410177, 0.9651436744553631, 0.11337075952366205], "edgecolor": "black", "center": [-7.105427357601002e-16, -7.105427357601002e-16], "size": [55.02367688193594, 57.85531768004809]}, "shape_B": {"name": "circle", "facecolor": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439], "edgecolor": "black", "center": [1.7763568394002506e-16, 1.5543122344752192e-15], "size": [64.51291593443824, 64.51291593443824]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_38.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_38.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_38.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_38.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_38.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_38.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_38.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.512, 64.512], "center": [-30.0, 10.000000000000002], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}, {"name": "circle", "size": [32.256, 32.256], "center": [4.4408920985006264e-17, 4.999999999972804e-05], "color": [0.5348092257542195, 0.4786903559499497, 0.9247138929166969]}, {"name": "circle", "size": [64.512, 64.512], "center": [2.6645352591003756e-16, 9.103828801926283e-16], "color": [0.14581293867603828, 0.1603398287451766, 0.8152179471368327]}, {"name": "circle", "size": [79.818, 97.15799999999999], "center": [-2.842170943040401e-15, 1.4210854715202005e-15], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}], "medium": [{"name": "circle", "size": [32.256, 32.256], "center": [-2.220446049250313e-16, -4.9999999999661426e-05], "color": [0.6425273818438559, 0.1991130776701162, 0.04196462807342016]}, {"name": "circle", "size": [76.262, 74.334], "center": [3.3750779948604757e-15, 6.217248937900876e-16], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}, {"name": "circle", "size": [64.512, 64.512], "center": [-30.0, 10.000000000000002], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}, {"name": "circle", "size": [64.512, 64.512], "center": [2.6645352591003756e-16, 9.103828801926283e-16], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}], "hard": [{"name": "circle", "size": [85.73, 82.15], "center": [5.329070518200751e-16, -4.440892098500626e-16], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}, {"name": "circle", "size": [64.512, 64.512], "center": [2.6645352591003756e-16, 9.103828801926283e-16], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}, {"name": "circle", "size": [64.512, 64.512], "center": [-30.0, 10.000000000000002], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}, {"name": "circle", "size": [35.472, 39.059], "center": [-4.999999999926175e-05, 0.0005250000000013522], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [55.022999999999996, 57.855999999999995], "center": [-30.0, 10.0], "color": [0.9443639015410177, 0.9651436744553631, 0.11337075952366205]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.512, 64.512], "center": [-30.0, 10.000000000000002], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_38.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_38.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_38.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_38.png", "instructions": [["translate", [-30, 10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "C", "hard": "C"}
|
||
1steps_hard_no_73
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left and significantly downward. <shapeB_step_0>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [-10, -30]]]
|
hard
|
{"instance_id": 73, "shape_A": {"name": "rectangle", "facecolor": [0.16792517369553162, 0.20171623799177596, 0.23182828122818733], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.92455337100892, 21.292950202067118]}, "shape_B": {"name": "triangle", "facecolor": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275], "edgecolor": "black", "center": [-1.1842378929335002e-15, -1.1842378929335002e-15], "size": [35.814747624629085, 50.20813196195812]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_73.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_73.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_73.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_73.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_73.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_73.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_73.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [17.907000000000004, 25.104], "center": [1.9755000000000003, -0.29566666666666624], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [32.34, 25.387], "center": [2.394, 2.1135], "color": [0.3363317496126026, 0.5317080578124259, 0.7798723798027771]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-3.9510000000000005, -0.5909999999999999], "color": [0.3406427073881695, 0.1066338130567066, 0.9618465720017052]}], "medium": [{"name": "triangle", "size": [35.81399999999999, 20.13389209269414], "center": [-4.045855003243115, -2.8164359926882483], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-3.9510000000000005, -0.5909999999999999], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [58.362, 19.351000000000003], "center": [2.9773333333333327, -3.002499999999999], "color": [0.20298269261692725, 0.7975810445820377, 0.07628866472541018]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}], "hard": [{"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [25.439, 14.301], "center": [-2.8738333333333337, -2.0005], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [17.907, 25.104], "center": [-1.9754999999999978, -0.29566666666666624], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-3.9510000000000005, -0.5909999999999999], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.924, 21.292], "center": [-10.0, -30.0], "color": [0.16792517369553162, 0.20171623799177596, 0.23182828122818733]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_73.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_73.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_73.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_73.png", "instructions": [["translate", [-10, -30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and significantly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "D", "hard": "A"}
|
||
1steps_hard_no_25
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the right and slightly upward. <shapeB_step_0>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [10, 10]]]
|
hard
|
{"instance_id": 25, "shape_A": {"name": "triangle", "facecolor": [0.9970094979583265, 0.60687704440205, 0.9580156516462669], "edgecolor": "black", "center": [-1.1842378929335002e-15, -1.1842378929335002e-15], "size": [60.120050013244196, 28.320818441605198]}, "shape_B": {"name": "rectangle", "facecolor": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.84858819596678, 21.478040894920845]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_25.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_25.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_25.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_25.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_25.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_25.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_25.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.848, 21.478], "center": [10.0, 10.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [28.474, 10.162], "center": [-4.440892098500626e-16, 0.0], "color": [0.3992804203467756, 0.07297867702730954, 0.3882229989331877]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [0.0, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [15.424, 10.739999999999998], "center": [0.0, -4.440892098500626e-16], "color": [0.8530597843624502, 0.2906606001840657, 0.1582058040062615]}], "medium": [{"name": "rectangle", "size": [15.424, 10.74], "center": [0.0, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [34.024, 37.45399999999999], "center": [-2.220446049250313e-16, 8.881784197001252e-16], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [10.0, 10.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [0.0, 0.0], "color": [0.2134208310699277, 0.2114928876461133, 0.02294273639205846]}], "hard": [{"name": "rectangle", "size": [19.510024348568987, 21.478], "center": [-8.326672684688674e-17, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [10.0, 10.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [44.348, 30.324], "center": [0.0, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [0.0, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [60.120000000000005, 28.320999999999998], "center": [10.0, 10.0], "color": [0.9970094979583265, 0.60687704440205, 0.9580156516462669]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.848, 21.478], "center": [10.0, 10.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_25.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_25.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_25.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_25.png", "instructions": [["translate", [10, 10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the right and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "C", "hard": "B"}
|
||
1steps_hard_no_103
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle slightly upward. <shapeB_step_0>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['translate', [0, 10]]]
|
hard
|
{"instance_id": 103, "shape_A": {"name": "triangle", "facecolor": [0.05722612704298535, 0.8298736681966631, 0.937353839509715], "edgecolor": "black", "center": [0.0, 0.0], "size": [22.371869095175686, 56.46881166482237]}, "shape_B": {"name": "rectangle", "facecolor": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.41651252855117, 21.44470148746504]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_103.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_103.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_103.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_103.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_103.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_103.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_103.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [17.39, 19.398], "center": [1.6653345369377348e-16, 0.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 10.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 8.881784197001252e-16], "color": [0.4048613114434265, 0.9456287548311954, 0.44248332928941037]}, {"name": "rectangle", "size": [17.430000000000003, 53.39], "center": [-1.7763568394002505e-15, 0.0], "color": [0.21912192846654388, 0.378445556235397, 0.058050973471158396]}], "medium": [{"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 10.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [16.208, 10.722000000000001], "center": [0.0, 0.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [19.224206619239098, 21.444000000000003], "center": [0.0, 0.0], "color": [0.6098141508546776, 0.8791873749108009, 0.5151428299400022]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 8.881784197001252e-16], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}], "hard": [{"name": "rectangle", "size": [16.208, 10.721999999999998], "center": [0.0, 1.7763568394002505e-15], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 8.881784197001252e-16], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [8.622, 28.29], "center": [0.0, 1.1102230246251565e-16], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 10.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [22.372, 56.468], "center": [5.921189464667501e-16, 10.0], "color": [0.05722612704298535, 0.8298736681966631, 0.937353839509715]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 10.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_103.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_103.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_103.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_103.png", "instructions": [["translate", [0, 10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "A", "hard": "D"}
|
||
1steps_hard_no_77
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon a little to the left and slightly downward. <shapeB_step_0>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [-10, -10]]]
|
hard
|
{"instance_id": 77, "shape_A": {"name": "ellipse", "facecolor": [0.1493458985082209, 0.002669375180722966, 0.13373432313340528], "edgecolor": "black", "center": [-1.7763568394002506e-16, 7.327471962526033e-16], "size": [33.81016224205581, 21.04670307149107]}, "shape_B": {"name": "hexagon", "facecolor": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.955599391925865, 55.3871737876684]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_77.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_77.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_77.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_77.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_77.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_77.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_77.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-5.921189464667501e-16, 0.0], "color": [0.12882131657953866, 0.8771134627827869, 0.20799123264910058]}, {"name": "hexagon", "size": [31.978, 34.260999999999996], "center": [2.9605947323337506e-16, 0.00033333333333433285], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [55.388000000000005, 63.956], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.6886355916989308, 0.7685835008020164, 0.710005291766658]}], "medium": [{"name": "hexagon", "size": [47.967830133216594, 55.388000000000005], "center": [1.1842378929335002e-15, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [72.838, 73.832], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-5.921189464667501e-16, 0.0], "color": [0.22111353370523357, 0.42202687144453677, 0.8998520060223312]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}], "hard": [{"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [31.977999999999998, 27.694000000000003], "center": [5.921189464667501e-16, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-5.921189464667501e-16, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [73.072, 63.956], "center": [1.1842378929335002e-15, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.81, 21.046], "center": [-10.0, -10.0], "color": [0.1493458985082209, 0.002669375180722966, 0.13373432313340528]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_77.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_77.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_77.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_77.png", "instructions": [["translate", [-10, -10]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "D", "hard": "A"}
|
||
1steps_hard_no_62
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the right by a significant amount and significantly upward. <shapeB_step_0>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [30, 30]]]
|
hard
|
{"instance_id": 62, "shape_A": {"name": "square", "facecolor": [0.8493065311177832, 0.443452568296118, 0.6997938528842318], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.809069097850557, 31.809069097850557]}, "shape_B": {"name": "triangle", "facecolor": [0.6572032419339301, 0.642241544386433, 0.6813821575526279], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [38.85714867700899, 65.23462242178138]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_62.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_62.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_62.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_62.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_62.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_62.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_62.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [65.234, 38.857], "center": [-1.841, 2.6808333333333336], "color": [0.3163584085101042, 0.27273271883220296, 0.7994532042329561]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [2.6808333333333345, 1.841], "color": [0.7084294320087983, 0.7965760362365115, 0.9784938128919398]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [30.000333333333334, 30.0], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [21.43, 31.094], "center": [-0.22100000000000009, -1.9666666666666666], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}], "medium": [{"name": "triangle", "size": [38.857, 65.23400000000001], "center": [2.6808333333333345, 1.841], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [27.096000000000004, 26.928], "center": [-3.8106666666666675, 4.263333333333333], "color": [0.38802397038987735, 0.7604251194731125, 0.9657240405380021]}, {"name": "triangle", "size": [65.23400000000001, 38.857], "center": [1.841, -2.6808333333333336], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [30.000333333333334, 30.0], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}], "hard": [{"name": "triangle", "size": [38.857, 23.145986847349548], "center": [1.0966020326823436, -1.5969527700278998], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [30.000333333333334, 30.0], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [62.188, 42.86], "center": [-3.933, 0.44200000000000017], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [2.6808333333333345, 1.841], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.810000000000002, 31.810000000000002], "center": [30.0, 30.0], "color": [0.8493065311177832, 0.443452568296118, 0.6997938528842318]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [38.857, 65.23400000000001], "center": [30.000333333333334, 30.0], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_62.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_62.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_62.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_62.png", "instructions": [["translate", [30, 30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and significantly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "D", "hard": "B"}
|
||
1steps_hard_no_7
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and significantly upward. <shapeB_step_0>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['translate', [-30, 30]]]
|
hard
|
{"instance_id": 7, "shape_A": {"name": "hexagon", "facecolor": [0.44238386943908425, 0.21724467789149304, 0.8965929456089817], "edgecolor": "black", "center": [5.921189464667501e-16, -5.921189464667501e-16], "size": [67.21179638859579, 58.20712310651115]}, "shape_B": {"name": "circle", "facecolor": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985], "edgecolor": "black", "center": [-1.2434497875801752e-15, -1.7097434579227411e-15], "size": [63.5153564038313, 63.5153564038313]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_7.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_7.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_7.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_7.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_7.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_7.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_7.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [31.758, 31.758], "center": [4.4408920985006264e-17, 0.00010000000000065512], "color": [0.5683803887729609, 0.3654124628480987, 0.6829420490024262]}, {"name": "circle", "size": [82.814, 87.516], "center": [1.4210854715202005e-15, -1.4210854715202005e-15], "color": [0.9339244016742159, 0.13198288073270203, 0.8608140039367475]}, {"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-30.000000000000007, 30.000000000000007], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-1.7763568394002505e-15, -2.6645352591003756e-16], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}], "medium": [{"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-1.7763568394002505e-15, -2.6645352591003756e-16], "color": [0.7079006071180983, 0.7014996112238661, 0.16383263093540756]}, {"name": "circle", "size": [39.776, 42.71], "center": [-0.00014999999999876223, 4.440892098500626e-16], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-30.000000000000007, 30.000000000000007], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [46.761804541362416, 63.516000000000005], "center": [1.7763568394002506e-16, 1.7763568394002505e-15], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}], "hard": [{"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-1.7763568394002505e-15, -2.6645352591003756e-16], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [92.604, 94.31299999999999], "center": [4.7073456244106636e-15, -0.000525000000001441], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-30.000000000000007, 30.000000000000007], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [78.96, 75.554], "center": [-0.00032499999999817674, -0.00032500000000177385], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [67.212, 58.208], "center": [-30.0, 29.999999999999996], "color": [0.44238386943908425, 0.21724467789149304, 0.8965929456089817]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-30.000000000000007, 30.000000000000007], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_7.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_7.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_7.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_7.png", "instructions": [["translate", [-30, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "C", "hard": "C"}
|
||
2steps_easy_no_81
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the square a little to the left and significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['rotate', 30], ['translate', [-10, 30]]]
|
easy
|
{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.91542727345086, 33.91542727345086]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_81.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_81.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_81.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.017269358477543406, 0.8951715436112537, 0.8881882715240285]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.9822023558670021, 0.3805353841932245, 0.6158594794070977]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [0.0, 6.661338147750939e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "medium": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.164, 23.164], "center": [1.1102230246251565e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.5512682171709632, 0.4558650631394707, 0.703459189841425]}], "hard": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [-8.881784197001252e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [39.654, 34.972], "center": [0.0, -5.551115123125783e-17], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}, {"name": "rectangle", "size": [39.654, 34.971999999999994], "center": [-10.0, 30.0], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}], "tranformed_B_sequence_info": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_81.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_81.png", "instructions": [["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "C", "hard": "D"}
|
||
2steps_easy_no_14
|
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_0>
- Shift the pentagon to the left by a significant amount and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['translate', [-30, -30]], ['translate', [-30, -10]]]
|
easy
|
{"instance_id": 14, "shape_A": {"name": "hexagon", "facecolor": [0.8671389723518831, 0.6479406086588688, 0.95739164910812], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [67.25937346695748, 58.24832606501022]}, "shape_B": {"name": "pentagon", "facecolor": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084], "edgecolor": "black", "center": [1.0658141036401502e-15, 0.0], "size": [56.18568847166277, 59.077128970772904]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_14.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_14.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [56.18600000000001, 59.078], "center": [-2.965799999999998, 0.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [68.395, 77.165], "center": [3.1387000000000014, 0.9262999999999991], "color": [0.09820240138037195, 0.7255892573341403, 0.48719041013374853]}, {"name": "pentagon", "size": [29.538, 28.093], "center": [-3.552713678800501e-16, 1.4827], "color": [0.3308509316827234, 0.12821514659595157, 0.6554729806969527]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}], "medium": [{"name": "pentagon", "size": [32.506, 35.007999999999996], "center": [0.7238, 0.33600000000000063], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18600000000001, 59.078], "center": [-2.965799999999998, 0.0], "color": [0.4146136850951062, 0.3302247652430509, 0.11333869756398085]}, {"name": "pentagon", "size": [68.628, 73.974], "center": [-3.0588000000000006, 1.9782000000000004], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [67.26, 58.248000000000005], "center": [-30.0, -30.0], "color": [0.8671389723518831, 0.6479406086588688, 0.95739164910812]}, {"name": "hexagon", "size": [67.25999999999999, 58.248], "center": [-60.0, -39.99999999999999], "color": [0.8671389723518831, 0.6479406086588688, 0.95739164910812]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [56.186, 59.078], "center": [-29.999800000000004, -30.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_14.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_14.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_14.png", "instructions": [["translate", [-30, -30]], ["translate", [-30, -10]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "D"}
|
||
2steps_easy_no_116
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_0>
- Reduce the size of the rectangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['rotate', -90], ['scale', 0.5]]
|
easy
|
{"instance_id": 116, "shape_A": {"name": "hexagon", "facecolor": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.46649890873571, 54.96360034422247]}, "shape_B": {"name": "rectangle", "facecolor": [0.9984367810079988, 0.43255898543761095, 0.767455259870214], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.04667739523437, 20.34563245259622]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_116.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_116.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_116.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_116.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_116.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_116.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [30.046000000000003, 20.345999999999997], "center": [-1.7763568394002505e-15, 8.881784197001252e-16], "color": [0.2698497153897096, 0.8506154747557466, 0.04289290810317403]}, {"name": "rectangle", "size": [40.184, 28.712000000000003], "center": [0.0, 4.440892098500626e-16], "color": [0.24819004614536366, 0.4136054076086292, 0.2215600510211484]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}], "hard": [{"name": "rectangle", "size": [23.006, 19.16], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [32.644000000000005, 36.194], "center": [-8.881784197001252e-16, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [54.964, 63.466], "center": [0.0, 0.0], "color": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166]}, {"name": "hexagon", "size": [27.482, 31.732], "center": [0.0, 0.0], "color": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_116.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_116.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_116.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the rectangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "hard": "D"}
|
||
2steps_easy_no_13
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_0>
- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [-30, -10]], ['flip', 'vertical']]
|
easy
|
{"instance_id": 13, "shape_A": {"name": "hexagon", "facecolor": [0.21558950436894597, 0.8245541437076062, 0.1905787640570693], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.63854756197547, 60.30875127132164]}, "shape_B": {"name": "circle", "facecolor": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218], "edgecolor": "black", "center": [-3.552713678800501e-16, -7.105427357601002e-16], "size": [66.33240467589097, 66.33240467589097]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_13.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_13.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [66.332, 66.332], "center": [-7.105427357601002e-16, -1.5099033134902129e-15], "color": [0.29057949547925066, 0.3452935808985811, 0.672373713051317]}, {"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [43.016, 42.008], "center": [1.3322676295501878e-16, 7.500000000106865e-05], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [74.642, 73.044], "center": [-8.881784197001252e-16, -2.7089441800853818e-15], "color": [0.9813354962348673, 0.6500863878069779, 0.9583264528051965]}], "medium": [{"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [75.96799999999999, 78.316], "center": [4.618527782440651e-15, 0.0], "color": [0.7761467451223322, 0.9642898231260307, 0.29417772180449153]}, {"name": "circle", "size": [66.332, 66.332], "center": [-7.105427357601002e-16, -1.5099033134902129e-15], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [33.166, 33.166], "center": [-0.0002000000000005997, -0.00024999999999941735], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}], "hard": [{"name": "circle", "size": [66.332, 66.332], "center": [-7.105427357601002e-16, -1.5099033134902129e-15], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [11.595943423889608, 66.332], "center": [-0.00016685496622121932, 1.1918211868078288e-05], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [37.79, 41.06], "center": [6.217248937900876e-16, 6.217248937900876e-16], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [69.638, 60.30800000000001], "center": [-30.0, -10.000000000000002], "color": [0.21558950436894597, 0.8245541437076062, 0.1905787640570693]}, {"name": "hexagon", "size": [69.638, 60.30800000000001], "center": [30.0, -10.000000000000002], "color": [0.21558950436894597, 0.8245541437076062, 0.1905787640570693]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [66.332, 66.332], "center": [-30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_13.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_13.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_13.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_13.png", "instructions": [["translate", [-30, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "B", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "A", "hard": "B"}
|
||
2steps_easy_no_86
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle a little to the right and significantly downward. <shapeB_step_0>
- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [10, -30]], ['translate', [-30, -10]]]
|
easy
|
{"instance_id": 86, "shape_A": {"name": "triangle", "facecolor": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781], "edgecolor": "black", "center": [-1.1842378929335002e-15, -1.7763568394002505e-15], "size": [23.110022771055725, 57.89494049246858]}, "shape_B": {"name": "circle", "facecolor": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239], "edgecolor": "black", "center": [-1.2434497875801752e-15, 1.7763568394002506e-16], "size": [69.31820306124776, 69.31820306124776]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_86.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_86.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_86.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_86.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_86.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_86.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_86.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [34.66, 34.66], "center": [1.2434497875801752e-15, 8.881784197001253e-17], "color": [0.6521310465039827, 0.5956464294000907, 0.4605791410599981]}, {"name": "circle", "size": [95.82, 83.206], "center": [-1.9539925233402757e-15, -4.440892098500626e-15], "color": [0.6595304637060485, 0.5009748399904048, 0.3584993605885254]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "medium": [{"name": "circle", "size": [45.683, 48.22], "center": [-0.0002999999999977465, -2.4999999997987742e-05], "color": [0.1760972106755182, 0.03427483895444505, 0.47916740886305564]}, {"name": "circle", "size": [35.556, 34.66], "center": [0.00015000000000036094, 0.00017499999999999184], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "hard": [{"name": "circle", "size": [41.648, 42.792], "center": [0.00020000000000015562, -0.00022499999999867626], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [34.66, 34.66], "center": [-1.7763568394002506e-16, 4.4408920985006264e-17], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [23.11, 57.894999999999996], "center": [9.999666666666668, -30.0], "color": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781]}, {"name": "triangle", "size": [23.11, 57.894999999999996], "center": [-20.000333333333334, -40.0], "color": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.318, 69.31800000000001], "center": [10.0, -29.999999999999993], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_86.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_86.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_86.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_86.png", "instructions": [["translate", [10, -30]], ["translate", [-30, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and significantly downward. <shapeB_step_0>\n- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "C", "hard": "B"}
|
||
2steps_easy_no_11
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the right and significantly upward. <shapeB_step_0>
- Reduce the size of the triangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [10, 30]], ['scale', 0.5]]
|
easy
|
{"instance_id": 11, "shape_A": {"name": "ellipse", "facecolor": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046], "edgecolor": "black", "center": [-4.440892098500626e-16, 2.7755575615628914e-17], "size": [34.59015534670558, 23.523169726100182]}, "shape_B": {"name": "triangle", "facecolor": [0.740944798920008, 0.7594932952262566, 0.8671889705502257], "edgecolor": "black", "center": [2.3684757858670005e-15, -5.921189464667501e-16], "size": [52.975039803812166, 46.93491895097725]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_11.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_11.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_11.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.2143185873114406, 0.22135107701554813, 0.2251120409197751]}, {"name": "triangle", "size": [15.331, 31.392000000000003], "center": [-0.07583333333333186, 3.575000000000001], "color": [0.04965104284068489, 0.8538213265855465, 0.7798301351436794]}, {"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "medium": [{"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.7127404881047043, 0.709368196448239, 0.2753785582170396]}, {"name": "triangle", "size": [61.81, 18.643], "center": [-10.063, 3.0628333333333337], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "hard": [{"name": "triangle", "size": [61.81, 18.643], "center": [-10.063, 3.0628333333333337], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.59, 23.524], "center": [10.000000000000002, 30.000000000000007], "color": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046]}, {"name": "ellipse", "size": [17.294999999999998, 11.762], "center": [10.000024999999999, 30.00015], "color": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [52.975, 46.935], "center": [10.000333333333334, 30.0], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_11.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_11.png", "instructions": [["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the right and significantly upward. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "D", "hard": "D"}
|
||
2steps_easy_no_75
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>
- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['translate', [-30, 10]], ['rotate', -60]]
|
easy
|
{"instance_id": 75, "shape_A": {"name": "ellipse", "facecolor": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156], "edgecolor": "black", "center": [-4.440892098500626e-16, -2.831068712794149e-16], "size": [32.94666450665948, 22.631616809247262]}, "shape_B": {"name": "triangle", "facecolor": [0.954358485726285, 0.20291821457172288, 0.057020052366765106], "edgecolor": "black", "center": [2.3684757858670005e-15, 2.9605947323337506e-16], "size": [45.21850340862652, 61.32156296152745]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_75.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_75.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_75.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_75.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_75.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_75.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [22.609, 30.660999999999998], "center": [0.7951666666666668, -1.2491666666666665], "color": [0.45799852793517837, 0.003745882748178664, 0.3474825986576122]}, {"name": "triangle", "size": [27.031, 66.797], "center": [2.1888333333333336, 7.418499999999999], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.7178077416143416, 0.07365014399221659, 0.828208758407564]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}], "medium": [{"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [33.398, 13.516], "center": [3.709, -1.0943333333333334], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [23.567396410018418, 58.238], "center": [1.9083682750223308, -6.467934233573364], "color": [0.48284594380435386, 0.5827123387789055, 0.5716571664062963]}], "hard": [{"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 26.67710182355163], "center": [5.697377794567121, 2.0920164840825577], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [61.322, 45.218], "center": [2.498333333333333, 1.5903333333333336], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.946, 22.631999999999998], "center": [-30.0, 10.000000000000004], "color": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156]}, {"name": "ellipse", "size": [25.540000000000003, 30.634], "center": [-29.99997499999999, 9.999999999999998], "color": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [45.219, 61.321], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_75.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_75.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_75.png", "instructions": [["translate", [-30, 10]], ["rotate", -60]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "A", "hard": "B"}
|
||
2steps_easy_no_54
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['rotate', -30], ['translate', [-30, 30]]]
|
easy
|
{"instance_id": 54, "shape_A": {"name": "triangle", "facecolor": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861], "edgecolor": "black", "center": [-5.921189464667501e-16, 0.0], "size": [19.810842699890337, 56.45566140335922]}, "shape_B": {"name": "hexagon", "facecolor": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571], "edgecolor": "black", "center": [0.0, 0.0], "size": [61.61899126996609, 53.363611795362175]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_54.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [61.617999999999995, 53.364000000000004], "center": [8.881784197001252e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [26.682000000000002, 30.810000000000002], "center": [0.0, -5.921189464667501e-16], "color": [0.9688390034529459, 0.41768404723282604, 0.9697124653116701]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.05587708478340869, 0.4058628049282732, 0.8847980973763346]}], "medium": [{"name": "hexagon", "size": [30.810000000000002, 26.682000000000002], "center": [-8.881784197001252e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [61.618, 53.364], "center": [-5.921189464667501e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.7858304635505055, 0.6654645959842609, 0.9196351530309665]}], "hard": [{"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 47.70006154045896], "center": [1.1842378929335002e-15, 2.3684757858670005e-15], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [30.81, 26.682000000000002], "center": [0.0, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [42.733000000000004, 44.266], "center": [0.0, 0.0], "color": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861]}, {"name": "triangle", "size": [42.733000000000004, 44.266000000000005], "center": [-30.0, 30.0], "color": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_54.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_54.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_54.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_54.png", "instructions": [["rotate", -30], ["translate", [-30, 30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "C", "hard": "A"}
|
||
2steps_easy_no_117
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_0>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [30, -30]], ['scale', 0.5]]
|
easy
|
{"instance_id": 117, "shape_A": {"name": "ellipse", "facecolor": [0.7218298009143069, 0.237713172425009, 0.5423320422772745], "edgecolor": "black", "center": [-2.220446049250313e-16, -1.3988810110276972e-15], "size": [32.0013952532714, 22.21799979044379]}, "shape_B": {"name": "hexagon", "facecolor": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.87508092385881, 53.58539194127964]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_117.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_117.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_117.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_117.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_117.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_117.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_117.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.9952458958033793, 0.43834090334037057, 0.0007170637618100217]}, {"name": "hexagon", "size": [53.586, 61.876000000000005], "center": [0.0, -5.921189464667501e-16], "color": [0.03433766741658173, 0.5310529134625389, 0.5349079969643663]}], "medium": [{"name": "hexagon", "size": [10.894293268075252, 26.792000000000005], "center": [-2.220446049250313e-16, -5.181040781584064e-16], "color": [0.4286103694029272, 0.21983952405210871, 0.16389177698089252]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "hard": [{"name": "hexagon", "size": [65.422, 82.538], "center": [3.7007434154171886e-16, -1.1842378929335002e-15], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.001999999999995, 22.218000000000004], "center": [30.00000000000001, -29.999999999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}, {"name": "ellipse", "size": [16.0, 11.109000000000002], "center": [30.00014999999999, -29.999774999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_117.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_117.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_117.png", "instructions": [["translate", [30, -30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "D", "hard": "B"}
|
||
2steps_easy_no_27
|
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon to the left by a significant amount. <shapeB_step_0>
- Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['translate', [-30, 0]], ['translate', [-30, 30]]]
|
easy
|
{"instance_id": 27, "shape_A": {"name": "square", "facecolor": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.695084533859536, 34.695084533859536]}, "shape_B": {"name": "pentagon", "facecolor": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006], "edgecolor": "black", "center": [0.0, 7.105427357601002e-16], "size": [59.73683176822594, 62.81102199996603]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_27.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_27.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_27.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_27.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_27.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_27.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [73.94800000000001, 69.25999999999999], "center": [-0.14180000000000065, 3.2359999999999984], "color": [0.18502802264390872, 0.86235217136227, 0.18885992146773622]}, {"name": "pentagon", "size": [35.992000000000004, 32.518], "center": [1.4848000000000003, 1.4091999999999998], "color": [0.4905183832597364, 0.729479992243697, 0.6475642717036921]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-3.153499999999999, 7.105427357601002e-16], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}], "medium": [{"name": "pentagon", "size": [75.02099999999999, 69.733], "center": [0.5855000000000004, 1.8445], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [30.652, 32.846000000000004], "center": [-1.4310000000000003, 0.5589999999999989], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-3.153499999999999, 7.105427357601002e-16], "color": [0.9576157713949134, 0.9209041007619821, 0.0595773898911619]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.696, 34.696], "center": [-30.0, 0.0], "color": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622]}, {"name": "square", "size": [34.696, 34.696], "center": [-60.0, 30.0], "color": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [59.737, 62.812], "center": [-30.0, 7.105427357601002e-16], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_27.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_27.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_27.png", "instructions": [["translate", [-30, 0]], ["translate", [-30, 30]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "D"}
|
||
2steps_easy_no_29
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>
- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['rotate', -60], ['rotate', 90]]
|
easy
|
{"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.47121283356394, 22.516200762531998]}, "shape_B": {"name": "hexagon", "facecolor": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.06667766630173, 59.81349741400862]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_29.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.9695415308611851, 0.5831588581279402, 0.4883073409886549]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [79.582, 82.294], "center": [-8.881784197001252e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.534000000000006, 29.906], "center": [1.7763568394002505e-15, 0.0], "color": [0.24751042926734867, 0.10938599739355226, 0.8189264388188036]}], "medium": [{"name": "hexagon", "size": [81.794, 84.926], "center": [0.0, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.533, 29.908], "center": [0.00033333333333285253, 0.0], "color": [0.049902046109985276, 0.1377187844382094, 0.8787220961098785]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "hard": [{"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [29.906000000000002, 34.534], "center": [1.1842378929335002e-15, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.81399999999999, 51.80138702111024], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.736, 37.646], "center": [-3.3306690738754696e-16, 0.0], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}, {"name": "rectangle", "size": [37.646, 34.736], "center": [0.0, -3.3306690738754696e-16], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_29.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_29.png", "instructions": [["rotate", -60], ["rotate", 90]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "C", "hard": "A"}
|
||
2steps_easy_no_102
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>
- Shift the triangle slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [30, 10]], ['translate', [0, -10]]]
|
easy
|
{"instance_id": 102, "shape_A": {"name": "square", "facecolor": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.84968651398539, 31.84968651398539]}, "shape_B": {"name": "triangle", "facecolor": [0.858802885279082, 0.5077896100031754, 0.7118055904962444], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [60.62723258064484, 32.546004957385094]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_102.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_102.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_102.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_102.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_102.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_102.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_102.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [16.273000000000003, 30.313999999999997], "center": [-1.7348333333333332, 3.5060000000000016], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.7765232358157869, 0.43092578237318613, 0.26350739318181027]}, {"name": "triangle", "size": [48.529, 56.184], "center": [-5.280833333333333, -0.3200000000000001], "color": [0.22099686669935337, 0.9016378822168126, 0.9301292163785994]}], "medium": [{"name": "triangle", "size": [36.98594075805096, 32.54599999999999], "center": [-0.7585593751921778, 0.18780515753438684], "color": [0.622487038101449, 0.3362118742445869, 0.8307795328164884]}, {"name": "triangle", "size": [30.314, 16.273], "center": [-3.5060000000000002, -1.7348333333333354], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "hard": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [28.63949368641316, 32.546], "center": [0.1651683863674629, 0.6675229453784546], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [17.471746709332628, 32.546], "center": [-1.8626294219201884, 3.7642686636096685], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 10.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}, {"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 0.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 10.000333333333334], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_102.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_102.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_102.png", "instructions": [["translate", [30, 10]], ["translate", [0, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "C", "hard": "D"}
|
||
2steps_easy_no_71
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>
- Shift the circle a little to the left and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [-30, -30]], ['translate', [-10, -10]]]
|
easy
|
{"instance_id": 71, "shape_A": {"name": "hexagon", "facecolor": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.91382467317439, 57.94907203134699]}, "shape_B": {"name": "circle", "facecolor": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694], "edgecolor": "black", "center": [2.7533531010703883e-15, -2.4202861936828413e-15], "size": [64.04244378456774, 64.04244378456774]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_71.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_71.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_71.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_71.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_71.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_71.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_71.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [78.186, 80.882], "center": [-8.881784197001253e-17, -5.329070518200751e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.01909331303423989, 0.9831039299064597, 0.40179533827613945]}, {"name": "circle", "size": [68.888, 74.749], "center": [1.2434497875801752e-15, -0.0001249999999992202], "color": [0.2560945549589283, 0.7385353415371732, 0.5663898001735471]}], "medium": [{"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.267622688217965, 0.7454231087454316, 0.7296825037169442]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.396, 34.186], "center": [0.00017500000000101324, -7.499999999970308e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [77.942, 70.58], "center": [0.00017500000000101324, -8.881784197001253e-17], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}], "hard": [{"name": "circle", "size": [40.824, 44.812], "center": [6.217248937900876e-16, -5.0000000000594016e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.022, 32.022000000000006], "center": [-3.552713678800501e-16, 1.7763568394002506e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [66.914, 57.95], "center": [-30.0, -30.0], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}, {"name": "hexagon", "size": [66.91399999999999, 57.949999999999996], "center": [-40.0, -39.99999999999999], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.042, 64.042], "center": [-30.000000000000007, -29.999999999999993], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_71.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_71.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_71.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_71.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, -10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "B", "hard": "C"}
|
||
2steps_easy_no_25
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Reduce the size of the hexagon, making it smaller. <shapeB_step_0>
- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['scale', 0.5], ['rotate', 90]]
|
easy
|
{"instance_id": 25, "shape_A": {"name": "ellipse", "facecolor": [0.6810664843571737, 0.25428803449433146, 0.602149326937957], "edgecolor": "black", "center": [1.1546319456101628e-15, -2.886579864025407e-16], "size": [32.11472429952858, 24.148747825133484]}, "shape_B": {"name": "hexagon", "facecolor": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [62.52871235399222, 54.151453364487125]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_25.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_25.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_25.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_25.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_25.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_25.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_25.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [62.528, 54.152], "center": [-2.9605947323337506e-16, 0.0], "color": [0.6963167072671622, 0.5249619887533956, 0.6545211917783339]}, {"name": "hexagon", "size": [54.152, 62.53], "center": [-5.921189464667501e-16, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [65.626, 70.356], "center": [0.0, 0.0], "color": [0.7330422359030663, 0.17063425612748628, 0.37465138872265835]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}], "medium": [{"name": "hexagon", "size": [54.152, 62.528000000000006], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [8.004678334339168, 31.263999999999996], "center": [-9.826996580160803e-05, 5.921189464667501e-16], "color": [0.665322278309207, 0.7892071678312036, 0.0418593443694848]}, {"name": "hexagon", "size": [62.528000000000006, 54.152], "center": [2.9605947323337506e-16, 0.0], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}], "hard": [{"name": "hexagon", "size": [54.152, 62.528], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [9.965451780581772, 31.264], "center": [-7.401486830834377e-17, -1.4802973661668753e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [69.608, 63.538], "center": [0.0, -5.921189464667501e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [16.058, 12.074], "center": [1.1102230246251565e-16, -1.7763568394002506e-16], "color": [0.6810664843571737, 0.25428803449433146, 0.602149326937957]}, {"name": "ellipse", "size": [12.074, 16.058], "center": [1.7763568394002506e-16, 1.1102230246251565e-16], "color": [0.6810664843571737, 0.25428803449433146, 0.602149326937957]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [31.264, 27.076], "center": [2.9605947323337506e-16, 0.0], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_25.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_25.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_25.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_25.png", "instructions": [["scale", 0.5], ["rotate", 90]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "D", "hard": "D"}
|
||
2steps_easy_no_83
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['rotate', 30], ['scale', 0.5]]
|
easy
|
{"instance_id": 83, "shape_A": {"name": "square", "facecolor": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.17672188229552, 34.17672188229552]}, "shape_B": {"name": "hexagon", "facecolor": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.59823408801311, 59.407813374971]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_83.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_83.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_83.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_83.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_83.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_83.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [68.598, 59.408], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.04773867957137401, 0.1230693381260829, 0.3330258924025967]}, {"name": "hexagon", "size": [86.79400000000001, 72.872], "center": [0.0, 0.0], "color": [0.25226113544660544, 0.45485415949529595, 0.2287161854393761]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}], "medium": [{"name": "hexagon", "size": [75.148, 70.57400000000001], "center": [-5.921189464667501e-16, 2.3684757858670005e-15], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [68.59800000000001, 59.408], "center": [-4.144832625267251e-15, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.7497046666984698, 0.9401172130049587, 0.46001191863997726]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [46.686, 46.686], "center": [0.0, 2.220446049250313e-16], "color": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744]}, {"name": "square", "size": [23.344, 23.344], "center": [0.0, 0.00025000000000030553], "color": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_83.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_83.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_83.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "C"}
|
||
2steps_easy_no_89
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_0>
- Shift the rectangle a little to the right and significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [30, -10]], ['translate', [10, 30]]]
|
easy
|
{"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.580039808982136, 34.580039808982136]}, "shape_B": {"name": "rectangle", "facecolor": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.118784938666483, 23.606510574636424]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_89.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8178975822866777, 0.5881661976478377, 0.6351931009826685]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [18.944, 17.752], "center": [1.1102230246251565e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [37.702, 42.17], "center": [-8.881784197001252e-16, -1.3877787807814457e-16], "color": [0.6490534260394974, 0.6858670803730986, 0.7549091926683313]}], "medium": [{"name": "rectangle", "size": [37.885999999999996, 35.502], "center": [8.881784197001252e-16, 0.0], "color": [0.6467323782040696, 0.8861165257566785, 0.9508078565096065]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [15.06, 11.804], "center": [0.0, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}], "hard": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [35.502, 37.886], "center": [0.0, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [11.803999999999998, 15.06], "center": [-4.440892098500626e-16, -8.881784197001252e-16], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.58, 34.58], "center": [30.0, -10.0], "color": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379]}, {"name": "square", "size": [34.58, 34.58], "center": [40.0, 20.0], "color": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [30.0, -10.000000000000002], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_89.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_89.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_89.png", "instructions": [["translate", [30, -10]], ["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the rectangle a little to the right and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "B", "hard": "D"}
|
||
2steps_easy_no_107
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle a little to the left. <shapeB_step_0>
- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['translate', [-10, 0]], ['rotate', 30]]
|
easy
|
{"instance_id": 107, "shape_A": {"name": "ellipse", "facecolor": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949], "edgecolor": "black", "center": [-1.7763568394002506e-16, -1.9984014443252818e-16], "size": [34.033434761006156, 22.14444038381347]}, "shape_B": {"name": "circle", "facecolor": [0.5524449592789532, 0.739848035268453, 0.27790397963115987], "edgecolor": "black", "center": [2.4868995751603505e-15, -1.5321077739827161e-15], "size": [65.96650335272558, 65.96650335272558]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_107.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_107.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_107.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_107.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_107.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_107.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_107.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [79.832, 76.394], "center": [-1.3322676295501878e-15, -0.00015000000000160442], "color": [0.8432780839676276, 0.7868459657567801, 0.4661218588678179]}, {"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.960540391190263, 0.03953837598150145, 0.7093700706863554]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [45.537, 42.689], "center": [0.0001499999999991175, -0.0003999999999985349], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "medium": [{"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [100.0, 86.5940601859146], "center": [-2.1316282072803005e-15, 3.552713678800501e-16], "color": [0.6344073530297935, 0.47058207938789454, 0.4456150952095499]}, {"name": "circle", "size": [88.923, 81.892], "center": [0.0005250000000016186, 4.99999999980183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "hard": [{"name": "circle", "size": [69.40100000000001, 75.604], "center": [-2.4999999996211385e-05, 0.0001249999999988205], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [35.16, 33.398], "center": [7.993605777301127e-16, -3.9968028886505636e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.034, 22.144], "center": [-9.999999999999998, 3.7192471324942745e-16], "color": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949]}, {"name": "ellipse", "size": [31.454, 25.594], "center": [-9.999999999999998, 1.3322676295501878e-15], "color": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [65.966, 65.966], "center": [-10.0, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_107.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_107.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_107.png", "instructions": [["translate", [-10, 0]], ["rotate", 30]], "correct_answer": {"easy": "C", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the left. <shapeB_step_0>\n- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "B", "hard": "D"}
|
||
2steps_easy_no_113
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_0>
- Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['rotate', -90], ['rotate', -30]]
|
easy
|
{"instance_id": 113, "shape_A": {"name": "rectangle", "facecolor": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.868187468576263, 21.258376675122513]}, "shape_B": {"name": "triangle", "facecolor": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826], "edgecolor": "black", "center": [1.7763568394002505e-15, 0.0], "size": [14.163207897571025, 60.26182739498849]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_113.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_113.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_113.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_113.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_113.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_113.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_113.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.9174013412547419, 0.8976848217443251, 0.048716666844519474]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [58.44800000000001, 56.611999999999995], "center": [-7.453999999999998, 6.498999999999999], "color": [0.9578606371994135, 0.812767027978977, 0.5577051205301008]}], "medium": [{"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.42071836245344063, 0.7434459968681485, 0.3892564707564702]}, {"name": "triangle", "size": [20.097, 32.805], "center": [0.27383333333333315, -5.337833333333333], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}], "hard": [{"name": "triangle", "size": [7.299366997444494, 31.058000000000007], "center": [0.4778457789873111, 4.215316152799443], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [21.258, 30.868], "center": [0.0, 0.0], "color": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856]}, {"name": "rectangle", "size": [33.844, 37.362], "center": [0.0, 0.0], "color": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [60.262, 14.163], "center": [0.0, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_113.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_113.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_113.png", "instructions": [["rotate", -90], ["rotate", -30]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "D", "hard": "B"}
|
||
2steps_easy_no_57
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon a little to the left and significantly upward. <shapeB_step_0>
- Shift the hexagon a little to the left and significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [-10, 30]], ['translate', [-10, 30]]]
|
easy
|
{"instance_id": 57, "shape_A": {"name": "square", "facecolor": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.647300805864646, 32.647300805864646]}, "shape_B": {"name": "hexagon", "facecolor": [0.396029667470992, 0.8729681752351013, 0.003848845673840251], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.17929849344874, 55.58090289239097]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_57.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_57.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_57.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_57.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_57.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_57.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_57.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.0008204800870083018, 0.07438559226596286, 0.15505254018175607]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.79, 32.09], "center": [0.0, -0.0003333333333337407], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [55.58, 64.18], "center": [0.0, 0.0], "color": [0.43405344003550683, 0.3047027957821804, 0.776971482550056]}], "medium": [{"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.79, 32.09], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [55.58, 64.18], "center": [0.0, 0.0], "color": [0.006273944935232811, 0.8988539571637837, 0.5382262656289836]}], "hard": [{"name": "hexagon", "size": [48.132383920224356, 55.58000000000001], "center": [2.3684757858670005e-15, -5.921189464667501e-16], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.790000000000003, 32.09], "center": [-1.1842378929335002e-15, 0.0003333333333337407], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.648, 32.647999999999996], "center": [-10.0, 30.0], "color": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575]}, {"name": "square", "size": [32.647999999999996, 32.647999999999996], "center": [-20.0, 60.0], "color": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [64.18, 55.58], "center": [-10.000000000000002, 30.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_57.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_57.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_57.png", "instructions": [["translate", [-10, 30]], ["translate", [-10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the left and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "A", "hard": "D"}
|
||
2steps_easy_no_105
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Reduce the size of the hexagon, making it smaller. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['scale', 0.5], ['translate', [-30, -30]]]
|
easy
|
{"instance_id": 105, "shape_A": {"name": "circle", "facecolor": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485], "edgecolor": "black", "center": [1.7763568394002506e-16, -1.7097434579227411e-15], "size": [66.063639289599, 66.063639289599]}, "shape_B": {"name": "hexagon", "facecolor": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.71771346058608, 56.9132093354941]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_105.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_105.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_105.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_105.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_105.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_105.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_105.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [65.718, 56.914], "center": [1.7763568394002505e-15, 0.0], "color": [0.9588480152231209, 0.10518122138953323, 0.3358515532821599]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.13413166029498458, 0.3856971748659048, 0.1294421693752802]}, {"name": "hexagon", "size": [56.912, 65.716], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}], "medium": [{"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [65.718, 58.91], "center": [5.921189464667501e-16, 5.921189464667501e-16], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [56.914, 65.718], "center": [0.0, 1.1842378929335002e-15], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.4511268333137989, 0.23875806759160678, 0.8633164017267867]}], "hard": [{"name": "hexagon", "size": [65.716, 56.912000000000006], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [56.914, 65.718], "center": [0.0, -1.1842378929335002e-15], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [33.032, 33.032], "center": [-8.881784197001253e-17, -9.43689570931383e-16], "color": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485]}, {"name": "circle", "size": [33.032, 33.032], "center": [-29.99999999999999, -30.0], "color": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_105.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_105.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_105.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_105.png", "instructions": [["scale", 0.5], ["translate", [-30, -30]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "A", "hard": "B"}
|
||
2steps_easy_no_115
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the left and slightly downward. <shapeB_step_0>
- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [-10, -10]], ['rotate', 60]]
|
easy
|
{"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.351615522514766, 30.351615522514766]}, "shape_B": {"name": "rectangle", "facecolor": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.654204961769885, 22.17193081035603]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_115.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_115.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_115.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.8843106463953841, 0.3845919597765035, 0.992382997611231]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [18.818, 17.264], "center": [0.0, 0.0], "color": [0.9544484660995831, 0.06595671535255854, 0.08502888533807029]}], "medium": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [22.172, 30.653999999999996], "center": [0.0, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.7311612379427683, 0.6841534816362329, 0.06681407266419448]}], "hard": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [22.171999999999997, 30.656], "center": [0.0, 0.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.351999999999997, 30.351999999999997], "center": [-10.0, -9.999999999999998], "color": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076]}, {"name": "square", "size": [41.462, 41.462], "center": [-10.0, -10.0], "color": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_115.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_115.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_115.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_115.png", "instructions": [["translate", [-10, -10]], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and slightly downward. <shapeB_step_0>\n- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "B", "hard": "B"}
|
||
2steps_easy_no_0
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the circle, making it smaller. <shapeB_step_0>
- Shift the circle to the right by a significant amount. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['scale', 0.5], ['translate', [30, 0]]]
|
easy
|
{"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [3.552713678800501e-16, 7.105427357601002e-16], "size": [59.73126308469467, 62.805166739594156]}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926], "edgecolor": "black", "center": [3.552713678800501e-16, 4.662936703425658e-16], "size": [66.98139394988227, 66.98139394988227]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_0.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.28999999999999, 66.982], "center": [8.881784197001252e-16, -1.865174681370263e-15], "color": [0.38012622503916615, 0.4534103023684355, 0.8341104266407503]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [91.986, 82.59800000000001], "center": [1.5099033134902129e-15, 0.0], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.1626540971560848, 0.3552707002275215, 0.6701751743776934]}], "medium": [{"name": "circle", "size": [43.34, 41.682], "center": [-5.000000000072724e-05, -0.00015000000000080503], "color": [0.9538159275210801, 0.8758529403781941, 0.26338905075109076]}, {"name": "circle", "size": [78.344, 75.52600000000001], "center": [1.7763568394002505e-15, 1.9539925233402757e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [0.00020000000000024442, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}, {"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [30.0002, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_0.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_0.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5], ["translate", [30, 0]]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n- Shift the circle to the right by a significant amount. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "C"}
|
||
2steps_easy_no_43
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the hexagon a little to the right and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['rotate', -60], ['translate', [10, -10]]]
|
easy
|
{"instance_id": 43, "shape_A": {"name": "square", "facecolor": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.672575199287046, 30.672575199287046]}, "shape_B": {"name": "hexagon", "facecolor": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [62.99593641122776, 54.55608126731234]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_43.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_43.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_43.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_43.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_43.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_43.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_43.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.22925712689524536, 0.8125995484455614, 0.26614010120702536]}, {"name": "hexagon", "size": [54.556, 62.996], "center": [0.0, 5.921189464667501e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [31.498, 30.772], "center": [-2.9605947323337506e-16, 0.0], "color": [0.5202618667015605, 0.5549973315285789, 0.6771417448734178]}], "medium": [{"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [47.24676385802273, 54.556], "center": [0.0, 8.881784197001252e-16], "color": [0.08263260638681347, 0.19042201698407435, 0.953088654617766]}, {"name": "hexagon", "size": [54.556, 62.995999999999995], "center": [0.0, 2.9605947323337506e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}], "hard": [{"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [54.556, 62.995999999999995], "center": [0.0, -8.881784197001252e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [27.278, 31.497999999999998], "center": [0.0, -2.9605947323337506e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [41.9, 41.9], "center": [2.220446049250313e-16, 0.0], "color": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364]}, {"name": "square", "size": [41.9, 41.9], "center": [10.0, -10.0], "color": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_43.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_43.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_43.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_43.png", "instructions": [["rotate", -60], ["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "B", "hard": "A"}
|
||
2steps_easy_no_85
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['rotate', -90], ['translate', [30, -10]]]
|
easy
|
{"instance_id": 85, "shape_A": {"name": "hexagon", "facecolor": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.94327130306716, 59.70662436845885]}, "shape_B": {"name": "circle", "facecolor": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732], "edgecolor": "black", "center": [0.0, -7.993605777301127e-16], "size": [69.7448625316478, 69.7448625316478]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_85.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_85.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_85.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_85.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_85.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_85.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_85.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [97.499, 92.148], "center": [2.5000000002783907e-05, -2.1316282072803005e-15], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.08452857820564808, 0.9574650918575381, 0.9229525687559261]}, {"name": "circle", "size": [34.872, 34.872], "center": [0.0, -5.329070518200751e-16], "color": [0.7818901210993182, 0.2309288833517681, 0.5954327714478571]}], "medium": [{"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.16358390568133163, 0.5752085636459588, 0.6373714599188945]}, {"name": "circle", "size": [74.674, 80.35], "center": [-1.4210854715202005e-15, -1.1102230246251565e-15], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 56.69812854181064], "center": [-2.6645352591003756e-16, -8.881784197001253e-17], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}], "hard": [{"name": "circle", "size": [34.872, 34.872], "center": [0.0, 4.999999999970584e-05], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 14.338679030335145], "center": [-6.306066779870889e-15, 7.771561172376095e-17], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [59.706, 68.944], "center": [0.0, 1.1842378929335002e-15], "color": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597]}, {"name": "hexagon", "size": [59.706, 68.944], "center": [30.0, -10.0], "color": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_85.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_85.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_85.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_85.png", "instructions": [["rotate", -90], ["translate", [30, -10]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "A", "hard": "D"}
|
||
2steps_easy_no_119
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['rotate', 60], ['translate', [30, 10]]]
|
easy
|
{"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004], "edgecolor": "black", "center": [-3.552713678800501e-16, 1.4210854715202005e-15], "size": [57.45433747497334, 60.4110654735715]}, "shape_B": {"name": "circle", "facecolor": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847], "edgecolor": "black", "center": [1.0658141036401502e-15, -2.2204460492503132e-17], "size": [67.50130422433172, 67.50130422433172]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_119.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [105.02, 98.004], "center": [7.500000000115747e-05, -7.500000000049134e-05], "color": [0.19925162576967737, 0.8293113010689808, 0.6242595620896838]}, {"name": "circle", "size": [33.75, 33.75], "center": [1.7763568394002506e-16, 9.547918011776346e-16], "color": [0.9090142236860578, 0.7190556703488146, 0.891207984243689]}, {"name": "circle", "size": [67.408, 67.408], "center": [30.000000000000007, 10.000000000000004], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [-4.440892098500626e-16, 6.217248937900876e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}], "medium": [{"name": "circle", "size": [44.708, 42.676], "center": [7.499999999769358e-05, -2.4999999998209787e-05], "color": [0.8206897063777058, 0.17990269890163313, 0.9582072620948673]}, {"name": "circle", "size": [62.251000000000005, 82.62899999999999], "center": [-5.000000000183746e-05, -0.0001749999999978158], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [-4.440892098500626e-16, 6.217248937900876e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [30.000000000000007, 10.000000000000004], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}], "hard": [{"name": "circle", "size": [54.93612988376452, 67.408], "center": [-6.217248937900876e-16, -5.10702591327572e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [-4.440892098500626e-16, 6.217248937900876e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [33.75, 33.75], "center": [1.7763568394002506e-16, 8.881784197001252e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [30.000000000000007, 10.000000000000004], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [60.08, 59.090999999999994], "center": [7.105427357601002e-16, 3.552713678800501e-16], "color": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004]}, {"name": "pentagon", "size": [60.080000000000005, 59.091], "center": [30.0, 9.999999999999998], "color": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.408, 67.408], "center": [-4.440892098500626e-16, 6.217248937900876e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [30.000000000000007, 10.000000000000004], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_119.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_119.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_119.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_119.png", "instructions": [["rotate", 60], ["translate", [30, 10]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "D", "hard": "D"}
|
||
2steps_easy_no_101
|
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the right and significantly downward. <shapeB_step_0>
- Shift the ellipse a little to the left. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['translate', [10, -30]], ['translate', [-10, 0]]]
|
easy
|
{"instance_id": 101, "shape_A": {"name": "rectangle", "facecolor": [0.008981558192268757, 0.9166664011286465, 0.5050242899246621], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.68920971753934, 23.22743674000318]}, "shape_B": {"name": "ellipse", "facecolor": [0.044870105594161824, 0.8026445564168357, 0.404462470449673], "edgecolor": "black", "center": [0.0, 1.3877787807814457e-16], "size": [33.653755384270276, 22.561451605297073]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_101.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_101.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_101.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_101.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_101.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_101.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_101.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.653999999999996, 22.561999999999998], "center": [-4.440892098500626e-16, -1.7763568394002506e-16], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [15.602, 12.856], "center": [-6.883382752675971e-16, -1.4432899320127036e-16], "color": [0.8191676326546823, 0.2448581292618861, 0.6632202698728074]}, {"name": "ellipse", "size": [33.654, 22.561999999999998], "center": [-2.6645352591003756e-16, -30.000000000000018], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [25.714, 31.204], "center": [5.551115123125783e-16, -4.884981308350689e-16], "color": [0.38996033224156956, 0.9860281441832246, 0.245704492474773]}], "medium": [{"name": "ellipse", "size": [33.654, 22.561999999999998], "center": [-2.6645352591003756e-16, -30.000000000000018], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [22.561999999999998, 33.653999999999996], "center": [-1.7763568394002506e-16, -4.440892098500626e-16], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [33.653999999999996, 22.561999999999998], "center": [-4.440892098500626e-16, -1.7763568394002506e-16], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [11.280999999999999, 16.828], "center": [0.00032500000000031115, -5.000000000014993e-05], "color": [0.2922062138320717, 0.20047791360606304, 0.6643012460125295]}], "hard": [{"name": "ellipse", "size": [25.714, 31.203999999999997], "center": [0.0, -5.329070518200751e-16], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [16.826, 11.28], "center": [4.440892098500626e-16, 4.163336342344337e-17], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [33.653999999999996, 22.561999999999998], "center": [-4.440892098500626e-16, -1.7763568394002506e-16], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [33.654, 22.561999999999998], "center": [-2.6645352591003756e-16, -30.000000000000018], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [32.69, 23.227999999999998], "center": [10.0, -29.999999999999996], "color": [0.008981558192268757, 0.9166664011286465, 0.5050242899246621]}, {"name": "rectangle", "size": [32.69, 23.227999999999998], "center": [0.0, -29.999999999999996], "color": [0.008981558192268757, 0.9166664011286465, 0.5050242899246621]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.654, 22.561999999999998], "center": [10.000000000000002, -30.000000000000018], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [33.654, 22.561999999999998], "center": [-2.6645352591003756e-16, -30.000000000000018], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_101.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_101.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_101.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_101.png", "instructions": [["translate", [10, -30]], ["translate", [-10, 0]]], "correct_answer": {"easy": "C", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right and significantly downward. <shapeB_step_0>\n- Shift the ellipse a little to the left. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "A", "hard": "D"}
|
||
2steps_easy_no_48
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the right by a significant amount. <shapeB_step_0>
- Shift the square a little to the right and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['translate', [30, 0]], ['translate', [10, -10]]]
|
easy
|
{"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.5668746151748413, 0.614809201762814, 0.7409945757086595], "edgecolor": "black", "center": [-2.6645352591003756e-16, 3.108624468950438e-16], "size": [33.266598335046034, 23.512351250803153]}, "shape_B": {"name": "square", "facecolor": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.18136031751098, 31.18136031751098]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_48.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.2538962481737801, 0.810763463028352, 0.7749309576907558]}, {"name": "square", "size": [42.596000000000004, 42.596000000000004], "center": [8.881784197001252e-16, 0.0], "color": [0.9418983460930013, 0.5710437173591865, 0.2610379298436133]}, {"name": "square", "size": [21.296, 21.296], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "medium": [{"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [42.594, 42.594], "center": [2.220446049250313e-16, 0.0], "color": [0.77922051345454, 0.7297668452697064, 0.5868795122897497]}, {"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [21.298, 21.298], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "hard": [{"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [42.593999999999994, 42.593999999999994], "center": [8.881784197001252e-16, 8.881784197001252e-16], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [15.59, 15.590000000000003], "center": [0.0, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.266000000000005, 23.512], "center": [30.0, -3.219646771412954e-16], "color": [0.5668746151748413, 0.614809201762814, 0.7409945757086595]}, {"name": "ellipse", "size": [33.266000000000005, 23.512], "center": [40.0, -10.0], "color": [0.5668746151748413, 0.614809201762814, 0.7409945757086595]}], "tranformed_B_sequence_info": [{"name": "square", "size": [31.182000000000002, 31.182], "center": [30.000000000000004, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_48.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_48.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_48.png", "instructions": [["translate", [30, 0]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the right by a significant amount. <shapeB_step_0>\n- Shift the square a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "A", "hard": "A"}
|
||
2steps_easy_no_12
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>
- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['translate', [-30, -10]], ['flip', 'horizontal']]
|
easy
|
{"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799], "edgecolor": "black", "center": [-3.108624468950438e-16, -2.220446049250313e-16], "size": [32.147048615045605, 22.14512724300205]}, "shape_B": {"name": "square", "facecolor": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.926054528488564, 33.926054528488564]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_12.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_12.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_12.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_12.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [33.926, 33.926], "center": [0.0, 0.0], "color": [0.019124733123319415, 0.22432136332369457, 0.9848795244932604]}, {"name": "square", "size": [46.343999999999994, 46.343999999999994], "center": [0.0, -1.3322676295501878e-15], "color": [0.1648835088914956, 0.9068942361936375, 0.8120083168401692]}, {"name": "square", "size": [23.172, 23.172], "center": [-4.440892098500626e-16, -2.220446049250313e-16], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}], "medium": [{"name": "square", "size": [33.926, 33.926], "center": [0.0, 0.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [46.343999999999994, 46.343999999999994], "center": [0.0, 1.7763568394002505e-15], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [23.171999999999997, 23.171999999999997], "center": [0.0, -8.881784197001252e-16], "color": [0.9068800442697921, 0.8352321652632412, 0.66902193050164]}], "hard": [{"name": "square", "size": [23.172, 23.172], "center": [-4.440892098500626e-16, -2.220446049250313e-16], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [46.343999999999994, 46.344], "center": [-1.3322676295501878e-15, 0.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [0.0, 0.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.147999999999996, 22.146], "center": [-30.0, -10.0], "color": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799]}, {"name": "ellipse", "size": [32.147999999999996, 22.146], "center": [-30.0, 10.0], "color": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799]}], "tranformed_B_sequence_info": [{"name": "square", "size": [33.926, 33.926], "center": [-30.0, -10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_12.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_12.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_12.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_12.png", "instructions": [["translate", [-30, -10]], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "C", "hard": "C"}
|
||
2steps_easy_no_45
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount. <shapeB_step_0>
- Shift the hexagon a little to the left and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['translate', [30, 0]], ['translate', [-10, -10]]]
|
easy
|
{"instance_id": 45, "shape_A": {"name": "ellipse", "facecolor": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219], "edgecolor": "black", "center": [-6.217248937900876e-16, 5.10702591327572e-16], "size": [32.86020752447745, 22.42693061479845]}, "shape_B": {"name": "hexagon", "facecolor": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.47431715468095, 59.30049816274628]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_45.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_45.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_45.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_45.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_45.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_45.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_45.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [59.3, 68.47399999999999], "center": [0.0, -5.921189464667501e-16], "color": [0.6911077774611649, 0.018054176909342745, 0.8222568634710554]}, {"name": "hexagon", "size": [34.236, 29.650000000000002], "center": [-1.1842378929335002e-15, -1.1842378929335002e-15], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [1.1842378929335002e-15, 0.0], "color": [0.12413712630719198, 0.10247473915685523, 0.3705628249908528]}], "medium": [{"name": "hexagon", "size": [86.81, 73.448], "center": [-5.921189464667501e-16, 0.0], "color": [0.5653398715178964, 0.29440750197524845, 0.7722995020481823]}, {"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [59.3, 68.474], "center": [0.0, -1.1842378929335002e-15], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [1.1842378929335002e-15, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}], "hard": [{"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [34.236, 29.65], "center": [0.00033333333333403675, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [51.35511288956393, 59.3], "center": [2.3684757858670005e-15, 1.7763568394002505e-15], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [1.1842378929335002e-15, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.86, 22.426], "center": [30.0, -1.2212453270876723e-16], "color": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219]}, {"name": "ellipse", "size": [32.86, 22.426000000000002], "center": [20.000000000000004, -9.999999999999998], "color": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [30.0, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_45.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_45.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_45.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_45.png", "instructions": [["translate", [30, 0]], ["translate", [-10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount. <shapeB_step_0>\n- Shift the hexagon a little to the left and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "B", "hard": "A"}
|
||
2steps_easy_no_33
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>
- Reduce the size of the circle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['rotate', -90], ['scale', 0.5]]
|
easy
|
{"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [66.09472983207253, 32.343887638489065]}, "shape_B": {"name": "circle", "facecolor": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713], "edgecolor": "black", "center": [-8.881784197001252e-16, 3.9968028886505636e-16], "size": [69.2744055119709, 69.2744055119709]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_33.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_33.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_33.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_33.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_33.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_33.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [83.559, 86.345], "center": [2.4999999998609468e-05, 0.0003500000000006942], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.06372245856662295, 0.2878313118827638, 0.7120336041548561]}, {"name": "circle", "size": [94.436, 83.06], "center": [-3.552713678800501e-16, 2.6645352591003757e-15], "color": [0.8269749765146087, 0.5879141645190475, 0.6347726627828982]}], "medium": [{"name": "circle", "size": [91.646, 89.792], "center": [-8.881784197001252e-16, 1.4210854715202005e-15], "color": [0.10362301130580698, 0.8470703830011121, 0.7579404251667007]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [143.6716905036659, 158.0], "center": [-1.2434497875801752e-15, -2.842170943040401e-15], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}], "hard": [{"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [75.968, 78.788], "center": [1.7763568394002506e-16, 4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 20.740533203903695], "center": [-2.531308496145357e-15, -8.881784197001253e-17], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [32.344, 66.095], "center": [0.0003333333333337407, 0.0], "color": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879]}, {"name": "triangle", "size": [16.172, 33.047], "center": [0.0006666666666662971, 0.0003333333333331486], "color": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_33.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_33.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_33.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_33.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "B", "hard": "A"}
|
||
2steps_easy_no_5
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount. <shapeB_step_0>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [30, 0]], ['scale', 0.5]]
|
easy
|
{"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653], "edgecolor": "black", "center": [-3.552713678800501e-16, 6.661338147750939e-17], "size": [32.57752866073627, 21.63982923818263]}, "shape_B": {"name": "hexagon", "facecolor": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.13068121064678, 57.270849897990374]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_5.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_5.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_5.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_5.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_5.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_5.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [-5.921189464667501e-16, 0.0], "color": [0.6290252411453636, 0.6197358055010894, 0.8411671249582643]}, {"name": "hexagon", "size": [66.13, 57.27], "center": [0.0, 0.0], "color": [0.14777570830033182, 0.6807268950506788, 0.03157051334209937]}, {"name": "hexagon", "size": [57.27, 66.13], "center": [0.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}], "medium": [{"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [-5.921189464667501e-16, 0.0], "color": [0.1005449047773479, 0.7707660580982791, 0.00518144640713003]}, {"name": "hexagon", "size": [45.12, 83.858], "center": [5.921189464667501e-16, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [66.13, 57.27], "center": [0.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.578, 21.64], "center": [30.0, 4.4408920985006264e-17], "color": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653]}, {"name": "ellipse", "size": [16.287999999999997, 10.82], "center": [30.00005000000001, 1.8596235662471373e-16], "color": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [66.13, 57.27], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_5.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_5.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_5.png", "instructions": [["translate", [30, 0]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "C"}
|
||
2steps_easy_no_58
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Reduce the size of the triangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['rotate', 30], ['scale', 0.5]]
|
easy
|
{"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.97502196345081, 32.97502196345081]}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437], "edgecolor": "black", "center": [2.9605947323337506e-16, 0.0], "size": [22.22020074526217, 65.93177331374169]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_58.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.8972026556024508, 0.29418970966334046, 0.44882550514848696]}, {"name": "triangle", "size": [25.442, 25.031], "center": [3.2853333333333334, 3.1101666666666667], "color": [0.8254680219164111, 0.9787479157847337, 0.6649664479842091]}], "medium": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06100000000001], "center": [-6.571000000000001, -6.220499999999999], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.031230003483582847, 0.6310233902195113, 0.20404491147195392]}], "hard": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06099999999999], "center": [-6.571000000000001, -6.220499999999998], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [45.044, 45.044], "center": [0.0, 0.0], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}, {"name": "square", "size": [22.522, 22.522], "center": [0.0, -2.220446049250313e-16], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.0, 0.0003333333333337407], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_58.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_58.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_58.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_58.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "A", "hard": "A"}
|
||
2steps_easy_no_15
|
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon a little to the right and slightly upward. <shapeB_step_0>
- Reduce the size of the pentagon, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['translate', [10, 10]], ['scale', 0.5]]
|
easy
|
{"instance_id": 15, "shape_A": {"name": "square", "facecolor": [0.7036219244347302, 0.9191774211091239, 0.5495926535464359], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.56643343555589, 32.56643343555589]}, "shape_B": {"name": "pentagon", "facecolor": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404], "edgecolor": "black", "center": [0.0, 7.105427357601002e-16], "size": [58.64498333119238, 61.66298461383164]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_15.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_15.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_15.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_15.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_15.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [58.644999999999996, 61.662000000000006], "center": [-3.0954999999999995, 0.0], "color": [0.09300943016209173, 0.6736979167818138, 0.8210746894925302]}, {"name": "pentagon", "size": [36.303, 90.241], "center": [-0.6734999999999989, 1.6595], "color": [0.009723191714424928, 0.8321770449232286, 0.24825760936207752]}, {"name": "pentagon", "size": [29.323, 30.832], "center": [-1.5476999999999996, -0.00019999999999988915], "color": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404]}, {"name": "pentagon", "size": [29.323, 30.832], "center": [9.999800000000002, 9.999799999999999], "color": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.566, 32.566], "center": [10.0, 10.0], "color": [0.7036219244347302, 0.9191774211091239, 0.5495926535464359]}, {"name": "square", "size": [16.284, 16.284], "center": [9.999999999999998, 10.0], "color": [0.7036219244347302, 0.9191774211091239, 0.5495926535464359]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [58.644999999999996, 61.662000000000006], "center": [10.0, 9.999999999999996], "color": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404]}, {"name": "pentagon", "size": [29.323, 30.832], "center": [9.999800000000002, 9.999799999999999], "color": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_15.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_15.png", "instructions": [["translate", [10, 10]], ["scale", 0.5]], "correct_answer": {"easy": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon a little to the right and slightly upward. <shapeB_step_0>\n- Reduce the size of the pentagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D"}
|
||
2steps_easy_no_46
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle a little to the right and significantly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['rotate', -60], ['translate', [10, -30]]]
|
easy
|
{"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.8957184739058375, 0.4406495499811689, 0.598835708808161], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.37069677274037, 21.922365908439833]}, "shape_B": {"name": "circle", "facecolor": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426], "edgecolor": "black", "center": [-1.0658141036401502e-15, 2.6645352591003756e-16], "size": [64.9209410492322, 64.9209410492322]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_46.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.07859458478485915, 0.16338281333792537, 0.37982954913839717]}, {"name": "circle", "size": [75.24, 72.574], "center": [-5.329070518200751e-16, -1.5099033134902129e-15], "color": [0.21887107007457074, 0.4218995588866843, 0.8251673691965223]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [45.668, 40.374], "center": [-0.00017500000000199024, 2.4999999999808507e-05], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "medium": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.8766430624945868, 0.8480760717041813, 0.17721660840147546]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [32.786, 34.498], "center": [-2.6645352591003756e-16, -7.993605777301127e-16], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [74.028, 84.037], "center": [-0.00024999999999835153, 0.00022499999999858744], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "hard": [{"name": "circle", "size": [80.13499999999999, 78.74], "center": [-0.000549999999998807, 5.0000000000594016e-05], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [35.312, 36.268], "center": [-2.5000000001274003e-05, -0.0001749999999993701], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [35.17, 38.996], "center": [3.3306690738754696e-16, 0.0], "color": [0.8957184739058375, 0.4406495499811689, 0.598835708808161]}, {"name": "rectangle", "size": [35.17, 38.995999999999995], "center": [10.0, -29.999999999999996], "color": [0.8957184739058375, 0.4406495499811689, 0.598835708808161]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_46.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_46.png", "instructions": [["rotate", -60], ["translate", [10, -30]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the right and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "B", "hard": "D"}
|
||
2steps_easy_no_72
|
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the left and slightly downward. <shapeB_step_0>
- Shift the ellipse a little to the right and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['translate', [-10, -10]], ['translate', [10, -10]]]
|
easy
|
{"instance_id": 72, "shape_A": {"name": "square", "facecolor": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.987408871750798, 30.987408871750798]}, "shape_B": {"name": "ellipse", "facecolor": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202], "edgecolor": "black", "center": [-2.6645352591003756e-16, -9.93649607039515e-16], "size": [33.35649907947214, 22.428317324717842]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_72.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_72.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_72.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_72.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_72.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_72.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_72.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.9963587756109145, 0.30345511366585054, 0.4639304479137577]}, {"name": "ellipse", "size": [16.677999999999997, 11.213999999999999], "center": [4.440892098500626e-16, 5.329070518200751e-16], "color": [0.6818451680946132, 0.9262228298753192, 0.816913366438626]}, {"name": "ellipse", "size": [25.528, 30.938], "center": [4.4408920985006264e-17, 7.549516567451064e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "medium": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.08240117073119624, 0.33551543368246395, 0.33149624654203025]}, {"name": "ellipse", "size": [18.506108475014543, 22.427999999999997], "center": [-4.440892098500626e-16, 2.842170943040401e-15], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [15.47, 12.764], "center": [-3.108624468950438e-16, 3.3306690738754696e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "hard": [{"name": "ellipse", "size": [16.677999999999997, 11.213999999999999], "center": [1.3322676295501878e-16, -1.021405182655144e-15], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [18.504912217194565, 22.427999999999997], "center": [-6.661338147750939e-16, 4.440892098500626e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.988, 30.988], "center": [-10.0, -10.0], "color": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413]}, {"name": "square", "size": [30.988, 30.988], "center": [0.0, -20.0], "color": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-10.0, -10.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_72.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_72.png", "instructions": [["translate", [-10, -10]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the left and slightly downward. <shapeB_step_0>\n- Shift the ellipse a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "C", "hard": "D"}
|
||
2steps_medium_no_5
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount. <shapeB_step_0>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['translate', [30, 0]], ['scale', 0.5]]
|
medium
|
{"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653], "edgecolor": "black", "center": [-3.552713678800501e-16, 6.661338147750939e-17], "size": [32.57752866073627, 21.63982923818263]}, "shape_B": {"name": "hexagon", "facecolor": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.13068121064678, 57.270849897990374]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_5.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_5.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_5.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_5.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_5.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_5.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [-5.921189464667501e-16, 0.0], "color": [0.6290252411453636, 0.6197358055010894, 0.8411671249582643]}, {"name": "hexagon", "size": [66.13, 57.27], "center": [0.0, 0.0], "color": [0.14777570830033182, 0.6807268950506788, 0.03157051334209937]}, {"name": "hexagon", "size": [57.27, 66.13], "center": [0.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}], "medium": [{"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [-5.921189464667501e-16, 0.0], "color": [0.1005449047773479, 0.7707660580982791, 0.00518144640713003]}, {"name": "hexagon", "size": [45.12, 83.858], "center": [5.921189464667501e-16, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [66.13, 57.27], "center": [0.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.578, 21.64], "center": [30.0, 4.4408920985006264e-17], "color": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653]}, {"name": "ellipse", "size": [16.287999999999997, 10.82], "center": [30.00005000000001, 1.8596235662471373e-16], "color": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [66.13, 57.27], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_5.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_5.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_5.png", "instructions": [["translate", [30, 0]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "C"}
|
||
2steps_medium_no_29
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>
- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['rotate', -60], ['rotate', 90]]
|
medium
|
{"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.47121283356394, 22.516200762531998]}, "shape_B": {"name": "hexagon", "facecolor": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.06667766630173, 59.81349741400862]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_29.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.9695415308611851, 0.5831588581279402, 0.4883073409886549]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [79.582, 82.294], "center": [-8.881784197001252e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.534000000000006, 29.906], "center": [1.7763568394002505e-15, 0.0], "color": [0.24751042926734867, 0.10938599739355226, 0.8189264388188036]}], "medium": [{"name": "hexagon", "size": [81.794, 84.926], "center": [0.0, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.533, 29.908], "center": [0.00033333333333285253, 0.0], "color": [0.049902046109985276, 0.1377187844382094, 0.8787220961098785]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "hard": [{"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [29.906000000000002, 34.534], "center": [1.1842378929335002e-15, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.81399999999999, 51.80138702111024], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.736, 37.646], "center": [-3.3306690738754696e-16, 0.0], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}, {"name": "rectangle", "size": [37.646, 34.736], "center": [0.0, -3.3306690738754696e-16], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_29.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_29.png", "instructions": [["rotate", -60], ["rotate", 90]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "C", "hard": "A"}
|
||
2steps_medium_no_98
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_0>
- Shift the rectangle a little to the left. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [-30, -10]], ['translate', [-10, 0]]]
|
medium
|
{"instance_id": 98, "shape_A": {"name": "ellipse", "facecolor": [0.8970940726076202, 0.33045794963254105, 0.767542057392423], "edgecolor": "black", "center": [9.769962616701378e-16, -2.3869795029440865e-16], "size": [33.58914232667937, 20.617897771545824]}, "shape_B": {"name": "rectangle", "facecolor": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.319408228599045, 21.211001990341508]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_98.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_98.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_98.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_98.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_98.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_98.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_98.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [-40.0, -10.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [10.605999999999998, 16.659999999999997], "center": [1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.8759508567636703, 0.4817134409527545, 0.7620590965747202]}, {"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.15113042808454258, 0.8738708220700687, 0.045132426592148445]}, {"name": "rectangle", "size": [39.46, 35.028000000000006], "center": [0.0, -8.881784197001252e-16], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}], "medium": [{"name": "rectangle", "size": [39.461999999999996, 35.03], "center": [1.7763568394002505e-15, 0.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [-40.0, -10.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [16.66, 10.605999999999998], "center": [0.0, 1.7763568394002505e-15], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.8107683600265114, 0.679282690081716, 0.36162189024638225]}], "hard": [{"name": "rectangle", "size": [61.368, 40.71], "center": [2.220446049250313e-16, 0.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [13.503869867947184, 21.212000000000003], "center": [1.7763568394002505e-15, 8.881784197001252e-16], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [-40.0, -10.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.59, 20.618000000000002], "center": [-29.999999999999993, -9.999999999999998], "color": [0.8970940726076202, 0.33045794963254105, 0.767542057392423]}, {"name": "ellipse", "size": [33.59, 20.618000000000002], "center": [-40.0, -9.999999999999998], "color": [0.8970940726076202, 0.33045794963254105, 0.767542057392423]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [-30.0, -10.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [-40.0, -10.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_98.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_98.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_98.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_98.png", "instructions": [["translate", [-30, -10]], ["translate", [-10, 0]]], "correct_answer": {"easy": "A", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the rectangle a little to the left. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "B", "hard": "D"}
|
||
2steps_medium_no_12
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>
- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['translate', [-30, -10]], ['flip', 'horizontal']]
|
medium
|
{"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799], "edgecolor": "black", "center": [-3.108624468950438e-16, -2.220446049250313e-16], "size": [32.147048615045605, 22.14512724300205]}, "shape_B": {"name": "square", "facecolor": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.926054528488564, 33.926054528488564]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_12.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_12.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_12.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_12.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [33.926, 33.926], "center": [0.0, 0.0], "color": [0.019124733123319415, 0.22432136332369457, 0.9848795244932604]}, {"name": "square", "size": [46.343999999999994, 46.343999999999994], "center": [0.0, -1.3322676295501878e-15], "color": [0.1648835088914956, 0.9068942361936375, 0.8120083168401692]}, {"name": "square", "size": [23.172, 23.172], "center": [-4.440892098500626e-16, -2.220446049250313e-16], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}], "medium": [{"name": "square", "size": [33.926, 33.926], "center": [0.0, 0.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [46.343999999999994, 46.343999999999994], "center": [0.0, 1.7763568394002505e-15], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [23.171999999999997, 23.171999999999997], "center": [0.0, -8.881784197001252e-16], "color": [0.9068800442697921, 0.8352321652632412, 0.66902193050164]}], "hard": [{"name": "square", "size": [23.172, 23.172], "center": [-4.440892098500626e-16, -2.220446049250313e-16], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [46.343999999999994, 46.344], "center": [-1.3322676295501878e-15, 0.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [0.0, 0.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.147999999999996, 22.146], "center": [-30.0, -10.0], "color": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799]}, {"name": "ellipse", "size": [32.147999999999996, 22.146], "center": [-30.0, 10.0], "color": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799]}], "tranformed_B_sequence_info": [{"name": "square", "size": [33.926, 33.926], "center": [-30.0, -10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_12.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_12.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_12.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_12.png", "instructions": [["translate", [-30, -10]], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "C", "hard": "C"}
|
||
2steps_medium_no_48
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the right by a significant amount. <shapeB_step_0>
- Shift the square a little to the right and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [30, 0]], ['translate', [10, -10]]]
|
medium
|
{"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.5668746151748413, 0.614809201762814, 0.7409945757086595], "edgecolor": "black", "center": [-2.6645352591003756e-16, 3.108624468950438e-16], "size": [33.266598335046034, 23.512351250803153]}, "shape_B": {"name": "square", "facecolor": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.18136031751098, 31.18136031751098]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_48.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.2538962481737801, 0.810763463028352, 0.7749309576907558]}, {"name": "square", "size": [42.596000000000004, 42.596000000000004], "center": [8.881784197001252e-16, 0.0], "color": [0.9418983460930013, 0.5710437173591865, 0.2610379298436133]}, {"name": "square", "size": [21.296, 21.296], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "medium": [{"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [42.594, 42.594], "center": [2.220446049250313e-16, 0.0], "color": [0.77922051345454, 0.7297668452697064, 0.5868795122897497]}, {"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [21.298, 21.298], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "hard": [{"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [42.593999999999994, 42.593999999999994], "center": [8.881784197001252e-16, 8.881784197001252e-16], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [15.59, 15.590000000000003], "center": [0.0, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.266000000000005, 23.512], "center": [30.0, -3.219646771412954e-16], "color": [0.5668746151748413, 0.614809201762814, 0.7409945757086595]}, {"name": "ellipse", "size": [33.266000000000005, 23.512], "center": [40.0, -10.0], "color": [0.5668746151748413, 0.614809201762814, 0.7409945757086595]}], "tranformed_B_sequence_info": [{"name": "square", "size": [31.182000000000002, 31.182], "center": [30.000000000000004, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_48.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_48.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_48.png", "instructions": [["translate", [30, 0]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the right by a significant amount. <shapeB_step_0>\n- Shift the square a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "A", "hard": "A"}
|
||
2steps_medium_no_58
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Reduce the size of the triangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['rotate', 30], ['scale', 0.5]]
|
medium
|
{"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.97502196345081, 32.97502196345081]}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437], "edgecolor": "black", "center": [2.9605947323337506e-16, 0.0], "size": [22.22020074526217, 65.93177331374169]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_58.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.8972026556024508, 0.29418970966334046, 0.44882550514848696]}, {"name": "triangle", "size": [25.442, 25.031], "center": [3.2853333333333334, 3.1101666666666667], "color": [0.8254680219164111, 0.9787479157847337, 0.6649664479842091]}], "medium": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06100000000001], "center": [-6.571000000000001, -6.220499999999999], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.031230003483582847, 0.6310233902195113, 0.20404491147195392]}], "hard": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06099999999999], "center": [-6.571000000000001, -6.220499999999998], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [45.044, 45.044], "center": [0.0, 0.0], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}, {"name": "square", "size": [22.522, 22.522], "center": [0.0, -2.220446049250313e-16], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.0, 0.0003333333333337407], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_58.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_58.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_58.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_58.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "A", "hard": "A"}
|
||
2steps_medium_no_81
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the square a little to the left and significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['rotate', 30], ['translate', [-10, 30]]]
|
medium
|
{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.91542727345086, 33.91542727345086]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_81.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_81.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_81.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.017269358477543406, 0.8951715436112537, 0.8881882715240285]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.9822023558670021, 0.3805353841932245, 0.6158594794070977]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [0.0, 6.661338147750939e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "medium": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.164, 23.164], "center": [1.1102230246251565e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.5512682171709632, 0.4558650631394707, 0.703459189841425]}], "hard": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [-8.881784197001252e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [39.654, 34.972], "center": [0.0, -5.551115123125783e-17], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}, {"name": "rectangle", "size": [39.654, 34.971999999999994], "center": [-10.0, 30.0], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}], "tranformed_B_sequence_info": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_81.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_81.png", "instructions": [["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "C", "hard": "D"}
|
||
2steps_medium_no_46
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle a little to the right and significantly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['rotate', -60], ['translate', [10, -30]]]
|
medium
|
{"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.8957184739058375, 0.4406495499811689, 0.598835708808161], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.37069677274037, 21.922365908439833]}, "shape_B": {"name": "circle", "facecolor": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426], "edgecolor": "black", "center": [-1.0658141036401502e-15, 2.6645352591003756e-16], "size": [64.9209410492322, 64.9209410492322]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_46.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.07859458478485915, 0.16338281333792537, 0.37982954913839717]}, {"name": "circle", "size": [75.24, 72.574], "center": [-5.329070518200751e-16, -1.5099033134902129e-15], "color": [0.21887107007457074, 0.4218995588866843, 0.8251673691965223]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [45.668, 40.374], "center": [-0.00017500000000199024, 2.4999999999808507e-05], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "medium": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.8766430624945868, 0.8480760717041813, 0.17721660840147546]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [32.786, 34.498], "center": [-2.6645352591003756e-16, -7.993605777301127e-16], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [74.028, 84.037], "center": [-0.00024999999999835153, 0.00022499999999858744], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "hard": [{"name": "circle", "size": [80.13499999999999, 78.74], "center": [-0.000549999999998807, 5.0000000000594016e-05], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [35.312, 36.268], "center": [-2.5000000001274003e-05, -0.0001749999999993701], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [35.17, 38.996], "center": [3.3306690738754696e-16, 0.0], "color": [0.8957184739058375, 0.4406495499811689, 0.598835708808161]}, {"name": "rectangle", "size": [35.17, 38.995999999999995], "center": [10.0, -29.999999999999996], "color": [0.8957184739058375, 0.4406495499811689, 0.598835708808161]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_46.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_46.png", "instructions": [["rotate", -60], ["translate", [10, -30]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the right and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "B", "hard": "D"}
|
||
2steps_medium_no_47
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['rotate', -60], ['translate', [-30, -30]]]
|
medium
|
{"instance_id": 47, "shape_A": {"name": "square", "facecolor": [0.6823387267082941, 0.7924052345565082, 0.36868091711306583], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.341612199366306, 31.341612199366306]}, "shape_B": {"name": "hexagon", "facecolor": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.2646842163225, 59.11895071265788]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_47.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_47.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_47.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_47.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_47.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_47.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_47.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [68.264, 59.118], "center": [-5.921189464667501e-16, 0.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [34.132000000000005, 29.56], "center": [-5.921189464667501e-16, 0.0], "color": [0.9321611112602266, 0.17789857770468176, 0.9450243886064787]}, {"name": "hexagon", "size": [68.264, 69.814], "center": [-1.0362081563168128e-15, -1.1842378929335002e-15], "color": [0.18660179177701652, 0.7614982078812117, 0.7224208413763429]}, {"name": "hexagon", "size": [68.26400000000001, 59.117999999999995], "center": [-30.0, -30.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}], "medium": [{"name": "hexagon", "size": [29.56, 34.132], "center": [0.0, -2.9605947323337506e-16], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [68.26400000000001, 59.117999999999995], "center": [-30.0, -30.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [68.264, 59.118], "center": [-5.921189464667501e-16, 0.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [68.264, 82.318], "center": [-1.1842378929335002e-15, -1.7763568394002505e-15], "color": [0.7577648049444989, 0.00672652774812299, 0.3609865913523427]}], "hard": [{"name": "hexagon", "size": [59.118, 68.264], "center": [0.0, 1.7763568394002505e-15], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [34.132, 29.56], "center": [-5.921189464667501e-16, 0.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [68.26400000000001, 59.117999999999995], "center": [-30.0, -30.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [68.264, 59.118], "center": [-5.921189464667501e-16, 0.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [42.814, 42.814], "center": [-2.220446049250313e-16, 0.0], "color": [0.6823387267082941, 0.7924052345565082, 0.36868091711306583]}, {"name": "square", "size": [42.81399999999999, 42.81399999999999], "center": [-30.0, -29.999999999999996], "color": [0.6823387267082941, 0.7924052345565082, 0.36868091711306583]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [68.264, 59.118], "center": [-5.921189464667501e-16, 0.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [68.26400000000001, 59.117999999999995], "center": [-30.0, -30.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_47.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_47.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_47.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_47.png", "instructions": [["rotate", -60], ["translate", [-30, -30]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "B", "hard": "C"}
|
||
2steps_medium_no_45
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount. <shapeB_step_0>
- Shift the hexagon a little to the left and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [30, 0]], ['translate', [-10, -10]]]
|
medium
|
{"instance_id": 45, "shape_A": {"name": "ellipse", "facecolor": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219], "edgecolor": "black", "center": [-6.217248937900876e-16, 5.10702591327572e-16], "size": [32.86020752447745, 22.42693061479845]}, "shape_B": {"name": "hexagon", "facecolor": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.47431715468095, 59.30049816274628]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_45.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_45.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_45.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_45.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_45.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_45.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_45.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [59.3, 68.47399999999999], "center": [0.0, -5.921189464667501e-16], "color": [0.6911077774611649, 0.018054176909342745, 0.8222568634710554]}, {"name": "hexagon", "size": [34.236, 29.650000000000002], "center": [-1.1842378929335002e-15, -1.1842378929335002e-15], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [1.1842378929335002e-15, 0.0], "color": [0.12413712630719198, 0.10247473915685523, 0.3705628249908528]}], "medium": [{"name": "hexagon", "size": [86.81, 73.448], "center": [-5.921189464667501e-16, 0.0], "color": [0.5653398715178964, 0.29440750197524845, 0.7722995020481823]}, {"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [59.3, 68.474], "center": [0.0, -1.1842378929335002e-15], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [1.1842378929335002e-15, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}], "hard": [{"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [34.236, 29.65], "center": [0.00033333333333403675, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [51.35511288956393, 59.3], "center": [2.3684757858670005e-15, 1.7763568394002505e-15], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [1.1842378929335002e-15, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.86, 22.426], "center": [30.0, -1.2212453270876723e-16], "color": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219]}, {"name": "ellipse", "size": [32.86, 22.426000000000002], "center": [20.000000000000004, -9.999999999999998], "color": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [30.0, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_45.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_45.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_45.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_45.png", "instructions": [["translate", [30, 0]], ["translate", [-10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount. <shapeB_step_0>\n- Shift the hexagon a little to the left and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "B", "hard": "A"}
|
||
2steps_medium_no_85
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['rotate', -90], ['translate', [30, -10]]]
|
medium
|
{"instance_id": 85, "shape_A": {"name": "hexagon", "facecolor": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.94327130306716, 59.70662436845885]}, "shape_B": {"name": "circle", "facecolor": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732], "edgecolor": "black", "center": [0.0, -7.993605777301127e-16], "size": [69.7448625316478, 69.7448625316478]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_85.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_85.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_85.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_85.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_85.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_85.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_85.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [97.499, 92.148], "center": [2.5000000002783907e-05, -2.1316282072803005e-15], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.08452857820564808, 0.9574650918575381, 0.9229525687559261]}, {"name": "circle", "size": [34.872, 34.872], "center": [0.0, -5.329070518200751e-16], "color": [0.7818901210993182, 0.2309288833517681, 0.5954327714478571]}], "medium": [{"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.16358390568133163, 0.5752085636459588, 0.6373714599188945]}, {"name": "circle", "size": [74.674, 80.35], "center": [-1.4210854715202005e-15, -1.1102230246251565e-15], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 56.69812854181064], "center": [-2.6645352591003756e-16, -8.881784197001253e-17], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}], "hard": [{"name": "circle", "size": [34.872, 34.872], "center": [0.0, 4.999999999970584e-05], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 14.338679030335145], "center": [-6.306066779870889e-15, 7.771561172376095e-17], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [59.706, 68.944], "center": [0.0, 1.1842378929335002e-15], "color": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597]}, {"name": "hexagon", "size": [59.706, 68.944], "center": [30.0, -10.0], "color": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_85.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_85.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_85.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_85.png", "instructions": [["rotate", -90], ["translate", [30, -10]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "A", "hard": "D"}
|
||
2steps_medium_no_34
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the triangle, making it smaller. <shapeB_step_0>
- Increase the size of the triangle, making it larger. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['scale', 0.5], ['scale', 2.0]]
|
medium
|
{"instance_id": 34, "shape_A": {"name": "ellipse", "facecolor": [0.9896430783887331, 0.3734743596330379, 0.5657145935088911], "edgecolor": "black", "center": [-1.3322676295501878e-16, 3.3306690738754696e-16], "size": [30.561674629590005, 20.791119590349158]}, "shape_B": {"name": "triangle", "facecolor": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [58.02139843134554, 31.336971788327855]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_34.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [58.021, 31.337000000000003], "center": [5.921189464667501e-16, 0.0003333333333331486], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [40.52, 45.858999999999995], "center": [2.632999999999999, 6.797499999999999], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [31.336999999999996, 58.021], "center": [-1.2621666666666662, 1.1184999999999998], "color": [0.42714964710544734, 0.2588529501525657, 0.22288998651785008]}, {"name": "triangle", "size": [29.011, 15.668], "center": [-0.5595, -0.6309999999999999], "color": [0.8282226427640579, 0.01887165016336667, 0.22522993625986798]}], "medium": [{"name": "triangle", "size": [29.011, 15.668], "center": [-0.5595, -0.6309999999999999], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [58.021, 31.337000000000003], "center": [5.921189464667501e-16, 0.0003333333333331486], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [23.118, 59.975], "center": [-0.20099999999999932, 4.5705], "color": [0.3717040391084181, 0.41487637030520064, 0.15748269423275552]}, {"name": "triangle", "size": [45.859, 40.519999999999996], "center": [-6.797499999999999, -2.6330000000000005], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}], "hard": [{"name": "triangle", "size": [12.079179091288038, 31.337000000000003], "center": [-0.10502270946227583, 2.388091012922051], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [29.011, 15.668], "center": [-0.5595, -0.6309999999999999], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [20.261, 22.929000000000002], "center": [-1.3164999999999998, 3.3985], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [58.021, 31.337000000000003], "center": [5.921189464667501e-16, 0.0003333333333331486], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [15.28, 10.396], "center": [-1.9984014443252818e-16, -2.220446049250313e-16], "color": [0.9896430783887331, 0.3734743596330379, 0.5657145935088911]}, {"name": "ellipse", "size": [30.562, 20.792], "center": [-3.108624468950438e-16, -2.220446049250313e-16], "color": [0.9896430783887331, 0.3734743596330379, 0.5657145935088911]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [29.011, 15.668], "center": [-7.401486830834377e-17, -2.9605947323337506e-16], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [58.021, 31.337000000000003], "center": [5.921189464667501e-16, 0.0003333333333331486], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_34.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_34.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_34.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_34.png", "instructions": [["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "A", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n- Increase the size of the triangle, making it larger. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "B", "hard": "D"}
|
||
2steps_medium_no_89
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_0>
- Shift the rectangle a little to the right and significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [30, -10]], ['translate', [10, 30]]]
|
medium
|
{"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.580039808982136, 34.580039808982136]}, "shape_B": {"name": "rectangle", "facecolor": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.118784938666483, 23.606510574636424]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_89.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8178975822866777, 0.5881661976478377, 0.6351931009826685]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [18.944, 17.752], "center": [1.1102230246251565e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [37.702, 42.17], "center": [-8.881784197001252e-16, -1.3877787807814457e-16], "color": [0.6490534260394974, 0.6858670803730986, 0.7549091926683313]}], "medium": [{"name": "rectangle", "size": [37.885999999999996, 35.502], "center": [8.881784197001252e-16, 0.0], "color": [0.6467323782040696, 0.8861165257566785, 0.9508078565096065]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [15.06, 11.804], "center": [0.0, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}], "hard": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [35.502, 37.886], "center": [0.0, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [11.803999999999998, 15.06], "center": [-4.440892098500626e-16, -8.881784197001252e-16], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.58, 34.58], "center": [30.0, -10.0], "color": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379]}, {"name": "square", "size": [34.58, 34.58], "center": [40.0, 20.0], "color": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [30.0, -10.000000000000002], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_89.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_89.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_89.png", "instructions": [["translate", [30, -10]], ["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the rectangle a little to the right and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "B", "hard": "D"}
|
||
2steps_medium_no_9
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square a little to the right. <shapeB_step_0>
- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [10, 0]], ['rotate', 60]]
|
medium
|
{"instance_id": 9, "shape_A": {"name": "pentagon", "facecolor": [0.6771833769890718, 0.2601667927212239, 0.9906766204079072], "edgecolor": "black", "center": [-1.0658141036401502e-15, 1.4210854715202005e-15], "size": [54.37866121731794, 57.177108074660325]}, "shape_B": {"name": "square", "facecolor": [0.20763622561035355, 0.3083077182125046, 0.2650079269147082], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.02196113223587, 32.02196113223587]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_9.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_9.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_9.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_9.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_9.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_9.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_9.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_9.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_9.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [32.022, 32.022], "center": [0.0, 0.0], "color": [0.9050779703801529, 0.829356177217418, 0.33154989125227674]}, {"name": "square", "size": [43.742000000000004, 43.742], "center": [-8.881784197001252e-16, -2.220446049250313e-16], "color": [0.04269631909043081, 0.4609949220019407, 0.16798920872905643]}, {"name": "square", "size": [43.742, 43.742], "center": [9.999999999999998, -2.220446049250313e-16], "color": [0.20763622561035355, 0.3083077182125046, 0.2650079269147082]}, {"name": "square", "size": [21.872, 21.871], "center": [-1.1102230246251565e-16, 0.00025000000000030553], "color": [0.20763622561035355, 0.3083077182125046, 0.2650079269147082]}], "medium": [{"name": "square", "size": [43.742, 43.742], "center": [9.999999999999998, -2.220446049250313e-16], "color": [0.20763622561035355, 0.3083077182125046, 0.2650079269147082]}, {"name": "square", "size": [16.012, 16.009999999999998], "center": [0.0, 0.0], "color": [0.20763622561035355, 0.3083077182125046, 0.2650079269147082]}, {"name": "square", "size": [43.742000000000004, 43.742], "center": [-8.881784197001252e-16, -2.220446049250313e-16], "color": [0.27977598743897136, 0.1372360171320648, 0.19945780666658663]}, {"name": "square", "size": [32.022, 32.022], "center": [0.0, 0.0], "color": [0.20763622561035355, 0.3083077182125046, 0.2650079269147082]}], "hard": [{"name": "square", "size": [32.022, 32.022], "center": [0.0, 0.0], "color": [0.20763622561035355, 0.3083077182125046, 0.2650079269147082]}, {"name": "square", "size": [43.742, 43.742], "center": [9.999999999999998, -2.220446049250313e-16], "color": [0.20763622561035355, 0.3083077182125046, 0.2650079269147082]}, {"name": "square", "size": [43.742000000000004, 43.742], "center": [-8.881784197001252e-16, -2.220446049250313e-16], "color": [0.20763622561035355, 0.3083077182125046, 0.2650079269147082]}, {"name": "square", "size": [21.872, 21.872], "center": [0.0, 2.220446049250313e-16], "color": [0.20763622561035355, 0.3083077182125046, 0.2650079269147082]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [54.379000000000005, 57.178], "center": [10.0, -7.105427357601002e-16], "color": [0.6771833769890718, 0.2601667927212239, 0.9906766204079072]}, {"name": "pentagon", "size": [56.864, 55.928], "center": [10.0, 0.00020000000000024442], "color": [0.6771833769890718, 0.2601667927212239, 0.9906766204079072]}], "tranformed_B_sequence_info": [{"name": "square", "size": [32.022, 32.022], "center": [9.999999999999998, 0.0], "color": [0.20763622561035355, 0.3083077182125046, 0.2650079269147082]}, {"name": "square", "size": [43.742, 43.742], "center": [9.999999999999998, -2.220446049250313e-16], "color": [0.20763622561035355, 0.3083077182125046, 0.2650079269147082]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_9.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_9.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_9.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_9.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_9.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_9.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_9.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_9.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_9.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_9.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_9.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_9.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_9.png", "instructions": [["translate", [10, 0]], ["rotate", 60]], "correct_answer": {"easy": "C", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square a little to the right. <shapeB_step_0>\n- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "A", "hard": "B"}
|
||
2steps_medium_no_105
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Reduce the size of the hexagon, making it smaller. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['scale', 0.5], ['translate', [-30, -30]]]
|
medium
|
{"instance_id": 105, "shape_A": {"name": "circle", "facecolor": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485], "edgecolor": "black", "center": [1.7763568394002506e-16, -1.7097434579227411e-15], "size": [66.063639289599, 66.063639289599]}, "shape_B": {"name": "hexagon", "facecolor": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.71771346058608, 56.9132093354941]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_105.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_105.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_105.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_105.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_105.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_105.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_105.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [65.718, 56.914], "center": [1.7763568394002505e-15, 0.0], "color": [0.9588480152231209, 0.10518122138953323, 0.3358515532821599]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.13413166029498458, 0.3856971748659048, 0.1294421693752802]}, {"name": "hexagon", "size": [56.912, 65.716], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}], "medium": [{"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [65.718, 58.91], "center": [5.921189464667501e-16, 5.921189464667501e-16], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [56.914, 65.718], "center": [0.0, 1.1842378929335002e-15], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.4511268333137989, 0.23875806759160678, 0.8633164017267867]}], "hard": [{"name": "hexagon", "size": [65.716, 56.912000000000006], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [56.914, 65.718], "center": [0.0, -1.1842378929335002e-15], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [33.032, 33.032], "center": [-8.881784197001253e-17, -9.43689570931383e-16], "color": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485]}, {"name": "circle", "size": [33.032, 33.032], "center": [-29.99999999999999, -30.0], "color": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_105.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_105.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_105.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_105.png", "instructions": [["scale", 0.5], ["translate", [-30, -30]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "A", "hard": "B"}
|
||
2steps_medium_no_21
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the triangle slightly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['rotate', 30], ['translate', [0, 10]]]
|
medium
|
{"instance_id": 21, "shape_A": {"name": "square", "facecolor": [0.9794869379377804, 0.8486162610031903, 0.7370783133705054], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.085687290472556, 32.085687290472556]}, "shape_B": {"name": "triangle", "facecolor": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [56.98186293168668, 50.154027781438785]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_21.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_21.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_21.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_21.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_21.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_21.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_21.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [65.316, 48.116], "center": [-5.2299999999999995, 2.0549999999999997], "color": [0.35704387483692057, 0.1586054651045411, 0.8279486884136622]}, {"name": "triangle", "size": [70.942, 63.361], "center": [-6.847000000000001, -5.161166666666671], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [25.076999999999998, 28.492], "center": [-3.8458333333333337, 3.188], "color": [0.047049336129883046, 0.018130595675012073, 0.880906106984675]}, {"name": "triangle", "size": [65.316, 48.116], "center": [-1.1842378929335002e-15, 10.0], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}], "medium": [{"name": "triangle", "size": [65.316, 48.116], "center": [-5.2299999999999995, 2.0549999999999997], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [54.666545280535956, 48.116], "center": [-6.116912230330581, 7.379436774733819], "color": [0.9266320984532515, 0.4378267064615107, 0.4571356398064427]}, {"name": "triangle", "size": [28.490000000000002, 25.076999999999998], "center": [-3.1880000000000006, -3.8461666666666665], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [65.316, 48.116], "center": [-1.1842378929335002e-15, 10.0], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}], "hard": [{"name": "triangle", "size": [65.316, 48.116], "center": [-1.1842378929335002e-15, 10.0], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [65.316, 48.116], "center": [-5.2299999999999995, 2.0549999999999997], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [28.491, 25.076], "center": [-3.1878333333333333, -3.846], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [54.66654528053594, 48.116], "center": [6.116912230330581, -7.3794367747338185], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [43.83, 43.83], "center": [0.0, 0.0], "color": [0.9794869379377804, 0.8486162610031903, 0.7370783133705054]}, {"name": "square", "size": [43.83, 43.83], "center": [0.0, 10.0], "color": [0.9794869379377804, 0.8486162610031903, 0.7370783133705054]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [65.316, 48.116], "center": [-1.1842378929335002e-15, 0.0], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [65.316, 48.116], "center": [-1.1842378929335002e-15, 10.0], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_21.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_21.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_21.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_21.png", "instructions": [["rotate", 30], ["translate", [0, 10]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the triangle slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "D", "hard": "A"}
|
||
2steps_medium_no_68
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon slightly downward. <shapeB_step_0>
- Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['translate', [0, -10]], ['translate', [30, -30]]]
|
medium
|
{"instance_id": 68, "shape_A": {"name": "ellipse", "facecolor": [0.26726579155818575, 0.5950126088090331, 0.6456888734266008], "edgecolor": "black", "center": [-3.108624468950438e-16, -3.8857805861880476e-17], "size": [30.386934029224793, 22.99371048487331]}, "shape_B": {"name": "hexagon", "facecolor": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [67.06065703228758, 58.07623258443661]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_68.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_68.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_68.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_68.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_68.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_68.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_68.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [30.0, -40.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [0.0, 0.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [58.076, 67.06], "center": [0.0, 0.0], "color": [0.7186010371748555, 0.5857238300434406, 0.9345603650847084]}, {"name": "hexagon", "size": [33.53, 29.037999999999997], "center": [-1.1842378929335002e-15, -5.921189464667501e-16], "color": [0.5336674511848507, 0.6509165173368888, 0.6605328907595868]}], "medium": [{"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [0.0, 0.0], "color": [0.40081405122538905, 0.46753863057191214, 0.9795418424528419]}, {"name": "hexagon", "size": [69.074, 83.686], "center": [0.0, 1.1842378929335002e-15], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [58.07599999999999, 67.06], "center": [0.0, 0.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [30.0, -40.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}], "hard": [{"name": "hexagon", "size": [50.29558270205784, 58.07599999999999], "center": [-1.1842378929335002e-15, 2.9605947323337506e-16], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [30.0, -40.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [0.0, 0.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [33.53, 29.037999999999997], "center": [-1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [30.386, 22.994], "center": [-4.440892098500626e-16, -9.999999999999998], "color": [0.26726579155818575, 0.5950126088090331, 0.6456888734266008]}, {"name": "ellipse", "size": [30.385999999999996, 22.994], "center": [29.999999999999993, -40.0], "color": [0.26726579155818575, 0.5950126088090331, 0.6456888734266008]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [0.0, -9.999999999999998], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [30.0, -40.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_68.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_68.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_68.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_68.png", "instructions": [["translate", [0, -10]], ["translate", [30, -30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon slightly downward. <shapeB_step_0>\n- Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "D", "hard": "B"}
|
||
2steps_medium_no_108
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['rotate', 90], ['translate', [30, 10]]]
|
medium
|
{"instance_id": 108, "shape_A": {"name": "rectangle", "facecolor": [0.8767270681615356, 0.6443444692776149, 0.8974879587435582], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.623976282115695, 20.868938986027434]}, "shape_B": {"name": "circle", "facecolor": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864], "edgecolor": "black", "center": [0.0, 1.9984014443252818e-16], "size": [67.59814418628085, 67.59814418628085]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_108.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_108.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_108.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_108.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_108.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_108.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_108.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [86.904, 77.958], "center": [-7.499999999964757e-05, 2.5000000000385825e-05], "color": [0.41442808114006335, 0.082164236269745, 0.805204391596255]}, {"name": "circle", "size": [67.598, 67.598], "center": [30.000000000000007, 9.999999999999998], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [33.8, 33.8], "center": [5.000000000041638e-05, -5.000000000063842e-05], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [67.598, 67.598], "center": [3.774758283725532e-16, 0.0], "color": [0.9796620690634124, 0.5020806749402426, 0.46620121433279094]}], "medium": [{"name": "circle", "size": [67.598, 67.598], "center": [30.000000000000007, 9.999999999999998], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [92.44, 84.182], "center": [-0.00010000000000118803, 0.0003250000000019959], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [33.8, 33.8], "center": [5.000000000041638e-05, -5.000000000063842e-05], "color": [0.8027990196946074, 0.4423104869151685, 0.5948011493559959]}, {"name": "circle", "size": [67.598, 67.598], "center": [3.774758283725532e-16, 0.0], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}], "hard": [{"name": "circle", "size": [73.10400000000001, 78.918], "center": [-4.973799150320701e-15, -1.0658141036401502e-15], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [67.598, 67.598], "center": [3.774758283725532e-16, 0.0], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [33.8, 33.8], "center": [3.552713678800501e-16, 1.7763568394002506e-16], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [67.598, 67.598], "center": [30.000000000000007, 9.999999999999998], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [20.868, 30.624], "center": [0.0, 0.0], "color": [0.8767270681615356, 0.6443444692776149, 0.8974879587435582]}, {"name": "rectangle", "size": [20.868, 30.624000000000002], "center": [30.0, 10.0], "color": [0.8767270681615356, 0.6443444692776149, 0.8974879587435582]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.598, 67.598], "center": [3.774758283725532e-16, 0.0], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [67.598, 67.598], "center": [30.000000000000007, 9.999999999999998], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_108.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_108.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_108.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_108.png", "instructions": [["rotate", 90], ["translate", [30, 10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "A", "hard": "D"}
|
||
2steps_medium_no_115
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the left and slightly downward. <shapeB_step_0>
- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [-10, -10]], ['rotate', 60]]
|
medium
|
{"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.351615522514766, 30.351615522514766]}, "shape_B": {"name": "rectangle", "facecolor": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.654204961769885, 22.17193081035603]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_115.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_115.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_115.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.8843106463953841, 0.3845919597765035, 0.992382997611231]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [18.818, 17.264], "center": [0.0, 0.0], "color": [0.9544484660995831, 0.06595671535255854, 0.08502888533807029]}], "medium": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [22.172, 30.653999999999996], "center": [0.0, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.7311612379427683, 0.6841534816362329, 0.06681407266419448]}], "hard": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [22.171999999999997, 30.656], "center": [0.0, 0.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.351999999999997, 30.351999999999997], "center": [-10.0, -9.999999999999998], "color": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076]}, {"name": "square", "size": [41.462, 41.462], "center": [-10.0, -10.0], "color": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_115.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_115.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_115.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_115.png", "instructions": [["translate", [-10, -10]], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and slightly downward. <shapeB_step_0>\n- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "B", "hard": "B"}
|
||
2steps_medium_no_92
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the right and significantly upward. <shapeB_step_0>
- Reduce the size of the rectangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['translate', [10, 30]], ['scale', 0.5]]
|
medium
|
{"instance_id": 92, "shape_A": {"name": "square", "facecolor": [0.19287782128184894, 0.6503740782221056, 0.8587783933000264], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.72195463686491, 31.72195463686491]}, "shape_B": {"name": "rectangle", "facecolor": [0.8513694691599814, 0.4529161192454827, 0.6443166711467285], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.62233889140585, 22.24081109921563]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_92.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_92.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_92.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_92.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_92.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_92.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_92.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_92.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_92.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [41.594, 29.77], "center": [0.0, -8.881784197001252e-16], "color": [0.8513694691599814, 0.4529161192454827, 0.6443166711467285]}, {"name": "rectangle", "size": [17.311999999999998, 11.120000000000001], "center": [-8.881784197001252e-16, 1.7763568394002505e-15], "color": [0.637631809594796, 0.8642268872670021, 0.3997309123683349]}, {"name": "rectangle", "size": [17.311999999999998, 11.120000000000001], "center": [10.0, 30.0], "color": [0.8513694691599814, 0.4529161192454827, 0.6443166711467285]}, {"name": "rectangle", "size": [34.622, 22.24], "center": [0.0, -1.7763568394002505e-15], "color": [0.9543403466727622, 0.35968511394198954, 0.5837813125649525]}], "medium": [{"name": "rectangle", "size": [34.622, 22.24], "center": [0.0, -1.7763568394002505e-15], "color": [0.8513694691599814, 0.4529161192454827, 0.6443166711467285]}, {"name": "rectangle", "size": [17.311999999999998, 11.120000000000001], "center": [-8.881784197001252e-16, 1.7763568394002505e-15], "color": [0.7116754962378428, 0.6235996771465296, 0.07055310878785503]}, {"name": "rectangle", "size": [17.311999999999998, 11.120000000000001], "center": [10.0, 30.0], "color": [0.8513694691599814, 0.4529161192454827, 0.6443166711467285]}, {"name": "rectangle", "size": [41.104, 36.572], "center": [8.881784197001252e-16, 0.0], "color": [0.8513694691599814, 0.4529161192454827, 0.6443166711467285]}], "hard": [{"name": "rectangle", "size": [36.572, 41.104], "center": [0.0, 4.440892098500626e-16], "color": [0.8513694691599814, 0.4529161192454827, 0.6443166711467285]}, {"name": "rectangle", "size": [17.311999999999998, 11.120000000000001], "center": [10.0, 30.0], "color": [0.8513694691599814, 0.4529161192454827, 0.6443166711467285]}, {"name": "rectangle", "size": [17.311999999999998, 11.120000000000001], "center": [-8.881784197001252e-16, 1.7763568394002505e-15], "color": [0.8513694691599814, 0.4529161192454827, 0.6443166711467285]}, {"name": "rectangle", "size": [34.622, 22.24], "center": [0.0, -1.7763568394002505e-15], "color": [0.8513694691599814, 0.4529161192454827, 0.6443166711467285]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.722, 31.721999999999998], "center": [10.000000000000002, 30.0], "color": [0.19287782128184894, 0.6503740782221056, 0.8587783933000264]}, {"name": "square", "size": [15.861, 15.861], "center": [10.0005, 29.999499999999998], "color": [0.19287782128184894, 0.6503740782221056, 0.8587783933000264]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [34.622, 22.24], "center": [10.0, 30.0], "color": [0.8513694691599814, 0.4529161192454827, 0.6443166711467285]}, {"name": "rectangle", "size": [17.311999999999998, 11.120000000000001], "center": [10.0, 30.0], "color": [0.8513694691599814, 0.4529161192454827, 0.6443166711467285]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_92.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_92.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_92.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_92.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_92.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_92.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_92.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_92.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_92.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_92.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_92.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_92.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_92.png", "instructions": [["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the right and significantly upward. <shapeB_step_0>\n- Reduce the size of the rectangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "C", "hard": "B"}
|
||
2steps_medium_no_71
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>
- Shift the circle a little to the left and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [-30, -30]], ['translate', [-10, -10]]]
|
medium
|
{"instance_id": 71, "shape_A": {"name": "hexagon", "facecolor": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.91382467317439, 57.94907203134699]}, "shape_B": {"name": "circle", "facecolor": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694], "edgecolor": "black", "center": [2.7533531010703883e-15, -2.4202861936828413e-15], "size": [64.04244378456774, 64.04244378456774]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_71.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_71.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_71.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_71.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_71.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_71.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_71.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [78.186, 80.882], "center": [-8.881784197001253e-17, -5.329070518200751e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.01909331303423989, 0.9831039299064597, 0.40179533827613945]}, {"name": "circle", "size": [68.888, 74.749], "center": [1.2434497875801752e-15, -0.0001249999999992202], "color": [0.2560945549589283, 0.7385353415371732, 0.5663898001735471]}], "medium": [{"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.267622688217965, 0.7454231087454316, 0.7296825037169442]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.396, 34.186], "center": [0.00017500000000101324, -7.499999999970308e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [77.942, 70.58], "center": [0.00017500000000101324, -8.881784197001253e-17], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}], "hard": [{"name": "circle", "size": [40.824, 44.812], "center": [6.217248937900876e-16, -5.0000000000594016e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.022, 32.022000000000006], "center": [-3.552713678800501e-16, 1.7763568394002506e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [66.914, 57.95], "center": [-30.0, -30.0], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}, {"name": "hexagon", "size": [66.91399999999999, 57.949999999999996], "center": [-40.0, -39.99999999999999], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.042, 64.042], "center": [-30.000000000000007, -29.999999999999993], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_71.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_71.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_71.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_71.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, -10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "B", "hard": "C"}
|
||
2steps_medium_no_7
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Reduce the size of the triangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['rotate', 30], ['scale', 0.5]]
|
medium
|
{"instance_id": 7, "shape_A": {"name": "square", "facecolor": [0.4553326352258771, 0.2068673262083145, 0.48292599877938847], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.792313108669745, 34.792313108669745]}, "shape_B": {"name": "triangle", "facecolor": [0.31890947421770044, 0.3002640831819403, 0.8101859369186981], "edgecolor": "black", "center": [-1.7763568394002505e-15, 0.0], "size": [17.20031974033965, 49.56442614526339]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_7.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_7.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_7.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_7.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_7.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_7.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_7.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_7.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [17.2, 49.565], "center": [-2.135, -4.0105], "color": [0.3479246374367544, 0.8455178026695592, 0.617362679336425]}, {"name": "triangle", "size": [49.565, 17.2], "center": [4.0105, 2.135], "color": [0.31890947421770044, 0.3002640831819403, 0.8101859369186981]}, {"name": "triangle", "size": [37.777, 35.421], "center": [-0.7944999999999993, -5.0895], "color": [0.8137382542609338, 0.70598836094598, 0.2974448346993519]}, {"name": "triangle", "size": [18.889000000000003, 17.71], "center": [0.0003333333333331486, 2.9605947323337506e-16], "color": [0.31890947421770044, 0.3002640831819403, 0.8101859369186981]}], "medium": [{"name": "triangle", "size": [17.200000000000003, 49.565000000000005], "center": [-2.134999999999998, -4.010500000000005], "color": [0.31890947421770044, 0.3002640831819403, 0.8101859369186981]}, {"name": "triangle", "size": [6.145831652005491, 17.71], "center": [0.7629883248594425, -1.432836332822209], "color": [0.31890947421770044, 0.3002640831819403, 0.8101859369186981]}, {"name": "triangle", "size": [37.777, 35.421], "center": [-0.7944999999999993, -5.0895], "color": [0.19512849163424917, 0.38394417586795304, 0.5615820773351045]}, {"name": "triangle", "size": [18.889000000000003, 17.71], "center": [0.0003333333333331486, 2.9605947323337506e-16], "color": [0.31890947421770044, 0.3002640831819403, 0.8101859369186981]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [47.528, 47.528], "center": [0.0, -2.220446049250313e-16], "color": [0.4553326352258771, 0.2068673262083145, 0.48292599877938847]}, {"name": "square", "size": [23.764, 23.764], "center": [4.440892098500626e-16, -0.00024999999999986144], "color": [0.4553326352258771, 0.2068673262083145, 0.48292599877938847]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [37.777, 35.421], "center": [0.0, 0.0], "color": [0.31890947421770044, 0.3002640831819403, 0.8101859369186981]}, {"name": "triangle", "size": [18.889000000000003, 17.71], "center": [0.0003333333333331486, 2.9605947323337506e-16], "color": [0.31890947421770044, 0.3002640831819403, 0.8101859369186981]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_7.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_7.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_7.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_7.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_7.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_7.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_7.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_7.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_7.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "D"}
|
||
2steps_medium_no_40
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left and significantly downward. <shapeB_step_0>
- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [-10, -30]], ['flip', 'horizontal']]
|
medium
|
{"instance_id": 40, "shape_A": {"name": "hexagon", "facecolor": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783], "edgecolor": "black", "center": [-5.921189464667501e-16, -5.921189464667501e-16], "size": [65.08835027371116, 56.36816482745368]}, "shape_B": {"name": "triangle", "facecolor": [0.468926302758369, 0.9565237556255114, 0.577043455530469], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [53.811846882714654, 38.073984419741535]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_40.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_40.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_40.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_40.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_40.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_40.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_40.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_40.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_40.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [36.253, 49.370000000000005], "center": [5.168500000000001, -5.922], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [2.6499999999999995, -2.3009999999999997], "color": [0.16244547533287212, 0.4811736713982494, 0.9284098495757753]}, {"name": "triangle", "size": [24.686000000000003, 18.127], "center": [-2.9609999999999985, -2.5845000000000002], "color": [0.06632059644882404, 0.31395700518879666, 0.8893065009780454]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, 30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}], "medium": [{"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, 30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [2.6499999999999995, -2.3009999999999997], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [26.938777150078046, 38.074], "center": [-1.6280434475581653, -1.8749739834981034], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [29.787, 13.968000000000004], "center": [-0.9445000000000009, 1.5879999999999999], "color": [0.33014173880198083, 0.038942247601714164, 0.5828635028179421]}], "hard": [{"name": "triangle", "size": [53.812, 38.074], "center": [2.6499999999999995, -2.3009999999999997], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, 30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [27.958207859023695, 38.07399999999999], "center": [3.9859321247721327, -4.567029127000203], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.81199999999999, 25.234875982004965], "center": [-1.7066542223415917, 2.868913449271469], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [65.088, 56.367999999999995], "center": [-9.999999999999998, -30.0], "color": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783]}, {"name": "hexagon", "size": [65.088, 56.367999999999995], "center": [-9.999999999999998, 30.0], "color": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, 30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_40.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_40.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_40.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_40.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_40.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_40.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_40.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_40.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_40.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_40.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_40.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_40.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_40.png", "instructions": [["translate", [-10, -30]], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and significantly downward. <shapeB_step_0>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "A", "hard": "B"}
|
||
2steps_medium_no_51
|
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>
- Shift the ellipse a little to the right. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['translate', [30, -30]], ['translate', [10, 0]]]
|
medium
|
{"instance_id": 51, "shape_A": {"name": "circle", "facecolor": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901], "edgecolor": "black", "center": [0.0, 7.993605777301127e-16], "size": [63.11615786927266, 63.11615786927266]}, "shape_B": {"name": "ellipse", "facecolor": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509], "edgecolor": "black", "center": [9.325873406851315e-16, -4.274358644806853e-16], "size": [31.636633103351482, 22.941760952071057]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_51.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_51.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [22.941999999999997, 31.635999999999996], "center": [-6.217248937900876e-16, -1.1102230246251565e-15], "color": [0.4224821603504274, 0.7281976495822304, 0.22706922763976467]}, {"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [-3.552713678800501e-16, 6.217248937900876e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [15.817999999999998, 11.470999999999997], "center": [0.0, 0.0003250000000029729], "color": [0.5960065390007009, 0.7527063322908609, 0.5552393854223482]}, {"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}], "medium": [{"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [-3.552713678800501e-16, 6.217248937900876e-16], "color": [0.9107189250917151, 0.8517868407321012, 0.8152855109911061]}, {"name": "ellipse", "size": [15.817999999999998, 11.471], "center": [-9.999999999967812e-05, 0.0003750000000009246], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [22.942, 31.636000000000003], "center": [-9.992007221626409e-17, 3.552713678800501e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}], "hard": [{"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [-3.552713678800501e-16, 6.217248937900876e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [22.941999999999997, 31.636000000000003], "center": [6.217248937900876e-16, -3.552713678800501e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [16.635778227335944, 22.942], "center": [-4.263256414560601e-15, 4.440892098500626e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [63.116, 63.116], "center": [29.999999999999993, -29.999999999999993], "color": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901]}, {"name": "circle", "size": [63.11600000000001, 63.116], "center": [39.99999999999999, -29.999999999999993], "color": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [30.000000000000007, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_51.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_51.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_51.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_51.png", "instructions": [["translate", [30, -30]], ["translate", [10, 0]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the ellipse a little to the right. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "D", "hard": "A"}
|
||
2steps_medium_no_99
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the circle, making it smaller. <shapeB_step_0>
- Shift the circle significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['scale', 0.5], ['translate', [0, 30]]]
|
medium
|
{"instance_id": 99, "shape_A": {"name": "pentagon", "facecolor": [0.8107740739172836, 0.6835251513964927, 0.36242459883378175], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [55.10478222488226, 57.940596884340025]}, "shape_B": {"name": "circle", "facecolor": [0.2198677286788273, 0.6355703459608453, 0.1217812002839539], "edgecolor": "black", "center": [-2.6645352591003756e-16, 6.883382752675971e-16], "size": [62.27081610401629, 62.27081610401629]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_99.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_99.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_99.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_99.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_99.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_99.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_99.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_99.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [62.27000000000001, 62.27], "center": [1.4210854715202005e-15, 7.105427357601002e-16], "color": [0.2551269770961283, 0.4563445257924864, 0.9776306369774915]}, {"name": "circle", "size": [31.136, 31.136], "center": [8.881784197001253e-17, 5.551115123125783e-17], "color": [0.2195905261856993, 0.1275635770786121, 0.9030223212276848]}, {"name": "circle", "size": [31.136, 31.135999999999996], "center": [8.881784197001253e-17, 29.999999999999993], "color": [0.2198677286788273, 0.6355703459608453, 0.1217812002839539]}, {"name": "circle", "size": [28.478, 118.833], "center": [-2.4999999999808507e-05, 0.00045000000000250395], "color": [0.2198677286788273, 0.6355703459608453, 0.1217812002839539]}], "medium": [{"name": "circle", "size": [91.77, 78.544], "center": [-4.884981308350689e-15, -1.7763568394002506e-16], "color": [0.2198677286788273, 0.6355703459608453, 0.1217812002839539]}, {"name": "circle", "size": [31.136, 31.136], "center": [8.881784197001253e-17, 5.551115123125783e-17], "color": [0.2198677286788273, 0.6355703459608453, 0.1217812002839539]}, {"name": "circle", "size": [62.526, 64.05000000000001], "center": [2.6645352591003756e-16, -1.5987211554602255e-15], "color": [0.5430805858397073, 0.9885370674104473, 0.09450072930532527]}, {"name": "circle", "size": [31.136, 31.135999999999996], "center": [8.881784197001253e-17, 29.999999999999993], "color": [0.2198677286788273, 0.6355703459608453, 0.1217812002839539]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [27.552999999999997, 28.97], "center": [0.0002000000000000668, -3.552713678800501e-16], "color": [0.8107740739172836, 0.6835251513964927, 0.36242459883378175]}, {"name": "pentagon", "size": [27.552999999999997, 28.97], "center": [0.0002000000000000668, 30.0], "color": [0.8107740739172836, 0.6835251513964927, 0.36242459883378175]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [31.136, 31.136], "center": [8.881784197001253e-17, 5.551115123125783e-17], "color": [0.2198677286788273, 0.6355703459608453, 0.1217812002839539]}, {"name": "circle", "size": [31.136, 31.135999999999996], "center": [8.881784197001253e-17, 29.999999999999993], "color": [0.2198677286788273, 0.6355703459608453, 0.1217812002839539]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_99.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_99.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_99.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_99.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_99.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_99.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_99.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_99.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_99.png", "instructions": [["scale", 0.5], ["translate", [0, 30]]], "correct_answer": {"easy": "C", "medium": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n- Shift the circle significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "D"}
|
||
2steps_medium_no_119
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['rotate', 60], ['translate', [30, 10]]]
|
medium
|
{"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004], "edgecolor": "black", "center": [-3.552713678800501e-16, 1.4210854715202005e-15], "size": [57.45433747497334, 60.4110654735715]}, "shape_B": {"name": "circle", "facecolor": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847], "edgecolor": "black", "center": [1.0658141036401502e-15, -2.2204460492503132e-17], "size": [67.50130422433172, 67.50130422433172]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_119.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [105.02, 98.004], "center": [7.500000000115747e-05, -7.500000000049134e-05], "color": [0.19925162576967737, 0.8293113010689808, 0.6242595620896838]}, {"name": "circle", "size": [33.75, 33.75], "center": [1.7763568394002506e-16, 9.547918011776346e-16], "color": [0.9090142236860578, 0.7190556703488146, 0.891207984243689]}, {"name": "circle", "size": [67.408, 67.408], "center": [30.000000000000007, 10.000000000000004], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [-4.440892098500626e-16, 6.217248937900876e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}], "medium": [{"name": "circle", "size": [44.708, 42.676], "center": [7.499999999769358e-05, -2.4999999998209787e-05], "color": [0.8206897063777058, 0.17990269890163313, 0.9582072620948673]}, {"name": "circle", "size": [62.251000000000005, 82.62899999999999], "center": [-5.000000000183746e-05, -0.0001749999999978158], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [-4.440892098500626e-16, 6.217248937900876e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [30.000000000000007, 10.000000000000004], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}], "hard": [{"name": "circle", "size": [54.93612988376452, 67.408], "center": [-6.217248937900876e-16, -5.10702591327572e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [-4.440892098500626e-16, 6.217248937900876e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [33.75, 33.75], "center": [1.7763568394002506e-16, 8.881784197001252e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [30.000000000000007, 10.000000000000004], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [60.08, 59.090999999999994], "center": [7.105427357601002e-16, 3.552713678800501e-16], "color": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004]}, {"name": "pentagon", "size": [60.080000000000005, 59.091], "center": [30.0, 9.999999999999998], "color": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.408, 67.408], "center": [-4.440892098500626e-16, 6.217248937900876e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [30.000000000000007, 10.000000000000004], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_119.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_119.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_119.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_119.png", "instructions": [["rotate", 60], ["translate", [30, 10]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "D", "hard": "D"}
|
||
2steps_medium_no_27
|
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon to the left by a significant amount. <shapeB_step_0>
- Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['translate', [-30, 0]], ['translate', [-30, 30]]]
|
medium
|
{"instance_id": 27, "shape_A": {"name": "square", "facecolor": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.695084533859536, 34.695084533859536]}, "shape_B": {"name": "pentagon", "facecolor": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006], "edgecolor": "black", "center": [0.0, 7.105427357601002e-16], "size": [59.73683176822594, 62.81102199996603]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_27.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_27.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_27.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_27.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_27.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_27.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [73.94800000000001, 69.25999999999999], "center": [-0.14180000000000065, 3.2359999999999984], "color": [0.18502802264390872, 0.86235217136227, 0.18885992146773622]}, {"name": "pentagon", "size": [35.992000000000004, 32.518], "center": [1.4848000000000003, 1.4091999999999998], "color": [0.4905183832597364, 0.729479992243697, 0.6475642717036921]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-3.153499999999999, 7.105427357601002e-16], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}], "medium": [{"name": "pentagon", "size": [75.02099999999999, 69.733], "center": [0.5855000000000004, 1.8445], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [30.652, 32.846000000000004], "center": [-1.4310000000000003, 0.5589999999999989], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-3.153499999999999, 7.105427357601002e-16], "color": [0.9576157713949134, 0.9209041007619821, 0.0595773898911619]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.696, 34.696], "center": [-30.0, 0.0], "color": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622]}, {"name": "square", "size": [34.696, 34.696], "center": [-60.0, 30.0], "color": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [59.737, 62.812], "center": [-30.0, 7.105427357601002e-16], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_27.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_27.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_27.png", "instructions": [["translate", [-30, 0]], ["translate", [-30, 30]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "D"}
|
||
2steps_medium_no_72
|
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the left and slightly downward. <shapeB_step_0>
- Shift the ellipse a little to the right and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['translate', [-10, -10]], ['translate', [10, -10]]]
|
medium
|
{"instance_id": 72, "shape_A": {"name": "square", "facecolor": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.987408871750798, 30.987408871750798]}, "shape_B": {"name": "ellipse", "facecolor": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202], "edgecolor": "black", "center": [-2.6645352591003756e-16, -9.93649607039515e-16], "size": [33.35649907947214, 22.428317324717842]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_72.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_72.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_72.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_72.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_72.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_72.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_72.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.9963587756109145, 0.30345511366585054, 0.4639304479137577]}, {"name": "ellipse", "size": [16.677999999999997, 11.213999999999999], "center": [4.440892098500626e-16, 5.329070518200751e-16], "color": [0.6818451680946132, 0.9262228298753192, 0.816913366438626]}, {"name": "ellipse", "size": [25.528, 30.938], "center": [4.4408920985006264e-17, 7.549516567451064e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "medium": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.08240117073119624, 0.33551543368246395, 0.33149624654203025]}, {"name": "ellipse", "size": [18.506108475014543, 22.427999999999997], "center": [-4.440892098500626e-16, 2.842170943040401e-15], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [15.47, 12.764], "center": [-3.108624468950438e-16, 3.3306690738754696e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "hard": [{"name": "ellipse", "size": [16.677999999999997, 11.213999999999999], "center": [1.3322676295501878e-16, -1.021405182655144e-15], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [18.504912217194565, 22.427999999999997], "center": [-6.661338147750939e-16, 4.440892098500626e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.988, 30.988], "center": [-10.0, -10.0], "color": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413]}, {"name": "square", "size": [30.988, 30.988], "center": [0.0, -20.0], "color": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-10.0, -10.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_72.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_72.png", "instructions": [["translate", [-10, -10]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the left and slightly downward. <shapeB_step_0>\n- Shift the ellipse a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "C", "hard": "D"}
|
||
2steps_medium_no_93
|
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the right. <shapeB_step_0>
- Shift the ellipse to the right by a significant amount and significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [10, 0]], ['translate', [30, 30]]]
|
medium
|
{"instance_id": 93, "shape_A": {"name": "rectangle", "facecolor": [0.5443017499435369, 0.24775111195336064, 0.42429836503955554], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.646502064015266, 23.27968513406261]}, "shape_B": {"name": "ellipse", "facecolor": [0.775060683475521, 0.07569638668142942, 0.5408381199364256], "edgecolor": "black", "center": [-1.7763568394002506e-16, -9.2148511043888e-16], "size": [32.55746885265956, 22.304036508160745]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_93.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_93.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_93.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_93.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_93.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_93.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_93.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [32.558, 22.304], "center": [1.7763568394002506e-16, 2.1094237467877973e-16], "color": [0.8900916126152082, 0.8398410252200438, 0.8975706031494339]}, {"name": "ellipse", "size": [32.55800000000001, 22.304000000000002], "center": [40.00000000000001, 30.0], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [25.194000000000003, 30.262], "center": [-2.6645352591003756e-16, 1.7763568394002506e-16], "color": [0.44311044450650305, 0.3003625013973271, 0.3645498743305482]}, {"name": "ellipse", "size": [16.278000000000002, 11.152], "center": [5.329070518200751e-16, 1.7486012637846215e-16], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}], "medium": [{"name": "ellipse", "size": [22.304000000000002, 32.558], "center": [0.0, 5.329070518200751e-16], "color": [0.8924937804168516, 0.4275189678882414, 0.4160107380687015]}, {"name": "ellipse", "size": [32.55800000000001, 22.304000000000002], "center": [40.00000000000001, 30.0], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [15.13, 12.598], "center": [-2.4424906541753446e-16, -4.662936703425658e-16], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [32.558, 22.304], "center": [1.7763568394002506e-16, 2.1094237467877973e-16], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}], "hard": [{"name": "ellipse", "size": [16.28, 11.152000000000001], "center": [-1.3322676295501878e-16, 4.999999999981686e-05], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [25.194, 30.262], "center": [-1.6431300764452318e-15, 1.0658141036401502e-15], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [32.558, 22.304], "center": [1.7763568394002506e-16, 2.1094237467877973e-16], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [32.55800000000001, 22.304000000000002], "center": [40.00000000000001, 30.0], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [30.646, 23.28], "center": [10.0, 0.0], "color": [0.5443017499435369, 0.24775111195336064, 0.42429836503955554]}, {"name": "rectangle", "size": [30.646, 23.28], "center": [40.0, 30.0], "color": [0.5443017499435369, 0.24775111195336064, 0.42429836503955554]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [32.558, 22.304], "center": [10.000000000000004, 2.1094237467877973e-16], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [32.55800000000001, 22.304000000000002], "center": [40.00000000000001, 30.0], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_93.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_93.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_93.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_93.png", "instructions": [["translate", [10, 0]], ["translate", [30, 30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right. <shapeB_step_0>\n- Shift the ellipse to the right by a significant amount and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "B", "hard": "D"}
|
||
2steps_medium_no_63
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['rotate', 60], ['rotate', -60]]
|
medium
|
{"instance_id": 63, "shape_A": {"name": "pentagon", "facecolor": [0.2647749902563443, 0.7489185677960649, 0.5863841278376783], "edgecolor": "black", "center": [-1.0658141036401502e-15, 1.4210854715202005e-15], "size": [61.08631921389689, 64.22995707117282]}, "shape_B": {"name": "circle", "facecolor": [0.11787294463996922, 0.3876166956291248, 0.34806167820257994], "edgecolor": "black", "center": [1.3322676295501878e-15, -2.6645352591003757e-15], "size": [60.23394923304346, 60.23394923304346]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_63.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_63.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_63.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_63.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_63.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_63.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_63.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_63.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [30.116, 30.116], "center": [8.881784197001253e-17, 2.2204460492503132e-17], "color": [0.2062899706759539, 0.006560541372034545, 0.16777271214633072]}, {"name": "circle", "size": [81.042, 75.786], "center": [-1.2434497875801752e-15, -3.4638958368304883e-15], "color": [0.35752088626649714, 0.04073700423512028, 0.8095874963271583]}, {"name": "circle", "size": [60.234, 60.234], "center": [8.881784197001253e-17, 8.437694987151189e-16], "color": [0.11787294463996922, 0.3876166956291248, 0.34806167820257994]}, {"name": "circle", "size": [101.488, 61.54600000000001], "center": [-8.881784197001252e-16, -3.552713678800501e-16], "color": [0.11787294463996922, 0.3876166956291248, 0.34806167820257994]}], "medium": [{"name": "circle", "size": [75.114, 80.308], "center": [1.9539925233402757e-15, -1.4210854715202005e-15], "color": [0.11787294463996922, 0.3876166956291248, 0.34806167820257994]}, {"name": "circle", "size": [70.774, 67.914], "center": [-3.552713678800501e-16, 2.531308496145357e-15], "color": [0.11787294463996922, 0.3876166956291248, 0.34806167820257994]}, {"name": "circle", "size": [9.076311232467503, 60.233999999999995], "center": [-1.1714392400685724e-05, 0.00023428784802739244], "color": [0.09987455965293623, 0.37237703973143643, 0.7225471243320575]}, {"name": "circle", "size": [60.234, 60.234], "center": [8.881784197001253e-17, 8.437694987151189e-16], "color": [0.11787294463996922, 0.3876166956291248, 0.34806167820257994]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [63.878, 62.827], "center": [0.00020000000000095497, -0.00019999999999935624], "color": [0.2647749902563443, 0.7489185677960649, 0.5863841278376783]}, {"name": "pentagon", "size": [61.087, 64.23], "center": [1.0658141036401502e-15, 0.0], "color": [0.2647749902563443, 0.7489185677960649, 0.5863841278376783]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [60.152, 60.152], "center": [9.769962616701378e-16, 1.7763568394002506e-16], "color": [0.11787294463996922, 0.3876166956291248, 0.34806167820257994]}, {"name": "circle", "size": [60.234, 60.234], "center": [8.881784197001253e-17, 8.437694987151189e-16], "color": [0.11787294463996922, 0.3876166956291248, 0.34806167820257994]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_63.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_63.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_63.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_63.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_63.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_63.png", "instructions": [["rotate", 60], ["rotate", -60]], "correct_answer": {"easy": "C", "medium": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "D"}
|
||
2steps_medium_no_106
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>
- Rotate the hexagon by 90 degrees clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['rotate', -30], ['rotate', -90]]
|
medium
|
{"instance_id": 106, "shape_A": {"name": "ellipse", "facecolor": [0.0013968579978064222, 0.8508006671411654, 0.7996962895319134], "edgecolor": "black", "center": [-4.4408920985006264e-17, -6.328271240363392e-16], "size": [32.241490854737556, 24.766217407619934]}, "shape_B": {"name": "hexagon", "facecolor": [0.5049299563891999, 0.8772913414267793, 0.6149526567433694], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [62.10137207274656, 53.781365824868004]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_106.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_106.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_106.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_106.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_106.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_106.png", "answer_choices": {"medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_106.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_106.png"}, "answer_choices_info": {"medium": [{"name": "hexagon", "size": [62.102, 53.782], "center": [5.921189464667501e-16, 0.0], "color": [0.5049299563891999, 0.8772913414267793, 0.6149526567433694]}, {"name": "hexagon", "size": [77.336, 67.376], "center": [0.0, 0.0], "color": [0.5049299563891999, 0.8772913414267793, 0.6149526567433694]}, {"name": "hexagon", "size": [53.782, 62.102], "center": [0.0, 5.921189464667501e-16], "color": [0.21639910947954222, 0.5132294070830756, 0.3618170223635987]}, {"name": "hexagon", "size": [46.57515657606595, 53.782], "center": [0.0002886663231566426, -0.0005773326463132852], "color": [0.5049299563891999, 0.8772913414267793, 0.6149526567433694]}], "hard": [{"name": "hexagon", "size": [31.05, 26.89], "center": [-1.4802973661668753e-16, 0.0], "color": [0.5049299563891999, 0.8772913414267793, 0.6149526567433694]}, {"name": "hexagon", "size": [53.782, 62.102], "center": [0.0, 5.921189464667501e-16], "color": [0.5049299563891999, 0.8772913414267793, 0.6149526567433694]}, {"name": "hexagon", "size": [62.102, 53.782], "center": [5.921189464667501e-16, 0.0], "color": [0.5049299563891999, 0.8772913414267793, 0.6149526567433694]}, {"name": "hexagon", "size": [46.57688857400489, 53.782], "center": [0.0, 0.0005773326463132852], "color": [0.5049299563891999, 0.8772913414267793, 0.6149526567433694]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [30.5, 26.828], "center": [1.5543122344752192e-15, 2.6645352591003756e-16], "color": [0.0013968579978064222, 0.8508006671411654, 0.7996962895319134]}, {"name": "ellipse", "size": [26.828, 30.5], "center": [2.6645352591003756e-16, -1.5543122344752192e-15], "color": [0.0013968579978064222, 0.8508006671411654, 0.7996962895319134]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [53.782, 62.102], "center": [0.0, 5.921189464667501e-16], "color": [0.5049299563891999, 0.8772913414267793, 0.6149526567433694]}, {"name": "hexagon", "size": [62.102, 53.782], "center": [5.921189464667501e-16, 0.0], "color": [0.5049299563891999, 0.8772913414267793, 0.6149526567433694]}], "individual_answer_choices_path": {"medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_106.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_106.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_106.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_106.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_106.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_106.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_106.png", "instructions": [["rotate", -30], ["rotate", -90]], "correct_answer": {"medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"medium": "A", "hard": "C"}
|
||
2steps_medium_no_33
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>
- Reduce the size of the circle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['rotate', -90], ['scale', 0.5]]
|
medium
|
{"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [66.09472983207253, 32.343887638489065]}, "shape_B": {"name": "circle", "facecolor": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713], "edgecolor": "black", "center": [-8.881784197001252e-16, 3.9968028886505636e-16], "size": [69.2744055119709, 69.2744055119709]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_33.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_33.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_33.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_33.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_33.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_33.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [83.559, 86.345], "center": [2.4999999998609468e-05, 0.0003500000000006942], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.06372245856662295, 0.2878313118827638, 0.7120336041548561]}, {"name": "circle", "size": [94.436, 83.06], "center": [-3.552713678800501e-16, 2.6645352591003757e-15], "color": [0.8269749765146087, 0.5879141645190475, 0.6347726627828982]}], "medium": [{"name": "circle", "size": [91.646, 89.792], "center": [-8.881784197001252e-16, 1.4210854715202005e-15], "color": [0.10362301130580698, 0.8470703830011121, 0.7579404251667007]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [143.6716905036659, 158.0], "center": [-1.2434497875801752e-15, -2.842170943040401e-15], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}], "hard": [{"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [75.968, 78.788], "center": [1.7763568394002506e-16, 4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 20.740533203903695], "center": [-2.531308496145357e-15, -8.881784197001253e-17], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [32.344, 66.095], "center": [0.0003333333333337407, 0.0], "color": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879]}, {"name": "triangle", "size": [16.172, 33.047], "center": [0.0006666666666662971, 0.0003333333333331486], "color": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_33.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_33.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_33.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_33.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "B", "hard": "A"}
|
||
2steps_medium_no_102
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>
- Shift the triangle slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
C
|
[['translate', [30, 10]], ['translate', [0, -10]]]
|
medium
|
{"instance_id": 102, "shape_A": {"name": "square", "facecolor": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.84968651398539, 31.84968651398539]}, "shape_B": {"name": "triangle", "facecolor": [0.858802885279082, 0.5077896100031754, 0.7118055904962444], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [60.62723258064484, 32.546004957385094]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_102.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_102.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_102.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_102.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_102.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_102.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_102.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [16.273000000000003, 30.313999999999997], "center": [-1.7348333333333332, 3.5060000000000016], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.7765232358157869, 0.43092578237318613, 0.26350739318181027]}, {"name": "triangle", "size": [48.529, 56.184], "center": [-5.280833333333333, -0.3200000000000001], "color": [0.22099686669935337, 0.9016378822168126, 0.9301292163785994]}], "medium": [{"name": "triangle", "size": [36.98594075805096, 32.54599999999999], "center": [-0.7585593751921778, 0.18780515753438684], "color": [0.622487038101449, 0.3362118742445869, 0.8307795328164884]}, {"name": "triangle", "size": [30.314, 16.273], "center": [-3.5060000000000002, -1.7348333333333354], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "hard": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [28.63949368641316, 32.546], "center": [0.1651683863674629, 0.6675229453784546], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [17.471746709332628, 32.546], "center": [-1.8626294219201884, 3.7642686636096685], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 10.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}, {"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 0.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 10.000333333333334], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_102.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_102.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_102.png", "instructions": [["translate", [30, 10]], ["translate", [0, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "C", "hard": "D"}
|
||
2steps_medium_no_107
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle a little to the left. <shapeB_step_0>
- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [-10, 0]], ['rotate', 30]]
|
medium
|
{"instance_id": 107, "shape_A": {"name": "ellipse", "facecolor": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949], "edgecolor": "black", "center": [-1.7763568394002506e-16, -1.9984014443252818e-16], "size": [34.033434761006156, 22.14444038381347]}, "shape_B": {"name": "circle", "facecolor": [0.5524449592789532, 0.739848035268453, 0.27790397963115987], "edgecolor": "black", "center": [2.4868995751603505e-15, -1.5321077739827161e-15], "size": [65.96650335272558, 65.96650335272558]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_107.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_107.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_107.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_107.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_107.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_107.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_107.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [79.832, 76.394], "center": [-1.3322676295501878e-15, -0.00015000000000160442], "color": [0.8432780839676276, 0.7868459657567801, 0.4661218588678179]}, {"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.960540391190263, 0.03953837598150145, 0.7093700706863554]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [45.537, 42.689], "center": [0.0001499999999991175, -0.0003999999999985349], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "medium": [{"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [100.0, 86.5940601859146], "center": [-2.1316282072803005e-15, 3.552713678800501e-16], "color": [0.6344073530297935, 0.47058207938789454, 0.4456150952095499]}, {"name": "circle", "size": [88.923, 81.892], "center": [0.0005250000000016186, 4.99999999980183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "hard": [{"name": "circle", "size": [69.40100000000001, 75.604], "center": [-2.4999999996211385e-05, 0.0001249999999988205], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [35.16, 33.398], "center": [7.993605777301127e-16, -3.9968028886505636e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.034, 22.144], "center": [-9.999999999999998, 3.7192471324942745e-16], "color": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949]}, {"name": "ellipse", "size": [31.454, 25.594], "center": [-9.999999999999998, 1.3322676295501878e-15], "color": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [65.966, 65.966], "center": [-10.0, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_107.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_107.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_107.png", "instructions": [["translate", [-10, 0]], ["rotate", 30]], "correct_answer": {"easy": "C", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the left. <shapeB_step_0>\n- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "B", "hard": "D"}
|
||
2steps_medium_no_75
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>
- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [-30, 10]], ['rotate', -60]]
|
medium
|
{"instance_id": 75, "shape_A": {"name": "ellipse", "facecolor": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156], "edgecolor": "black", "center": [-4.440892098500626e-16, -2.831068712794149e-16], "size": [32.94666450665948, 22.631616809247262]}, "shape_B": {"name": "triangle", "facecolor": [0.954358485726285, 0.20291821457172288, 0.057020052366765106], "edgecolor": "black", "center": [2.3684757858670005e-15, 2.9605947323337506e-16], "size": [45.21850340862652, 61.32156296152745]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_75.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_75.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_75.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_75.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_75.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_75.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [22.609, 30.660999999999998], "center": [0.7951666666666668, -1.2491666666666665], "color": [0.45799852793517837, 0.003745882748178664, 0.3474825986576122]}, {"name": "triangle", "size": [27.031, 66.797], "center": [2.1888333333333336, 7.418499999999999], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.7178077416143416, 0.07365014399221659, 0.828208758407564]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}], "medium": [{"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [33.398, 13.516], "center": [3.709, -1.0943333333333334], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [23.567396410018418, 58.238], "center": [1.9083682750223308, -6.467934233573364], "color": [0.48284594380435386, 0.5827123387789055, 0.5716571664062963]}], "hard": [{"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 26.67710182355163], "center": [5.697377794567121, 2.0920164840825577], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [61.322, 45.218], "center": [2.498333333333333, 1.5903333333333336], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.946, 22.631999999999998], "center": [-30.0, 10.000000000000004], "color": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156]}, {"name": "ellipse", "size": [25.540000000000003, 30.634], "center": [-29.99997499999999, 9.999999999999998], "color": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [45.219, 61.321], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_75.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_75.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_75.png", "instructions": [["translate", [-30, 10]], ["rotate", -60]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "A", "hard": "B"}
|
||
2steps_hard_no_33
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>
- Reduce the size of the circle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['rotate', -90], ['scale', 0.5]]
|
hard
|
{"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [66.09472983207253, 32.343887638489065]}, "shape_B": {"name": "circle", "facecolor": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713], "edgecolor": "black", "center": [-8.881784197001252e-16, 3.9968028886505636e-16], "size": [69.2744055119709, 69.2744055119709]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_33.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_33.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_33.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_33.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_33.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_33.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [83.559, 86.345], "center": [2.4999999998609468e-05, 0.0003500000000006942], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.06372245856662295, 0.2878313118827638, 0.7120336041548561]}, {"name": "circle", "size": [94.436, 83.06], "center": [-3.552713678800501e-16, 2.6645352591003757e-15], "color": [0.8269749765146087, 0.5879141645190475, 0.6347726627828982]}], "medium": [{"name": "circle", "size": [91.646, 89.792], "center": [-8.881784197001252e-16, 1.4210854715202005e-15], "color": [0.10362301130580698, 0.8470703830011121, 0.7579404251667007]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [143.6716905036659, 158.0], "center": [-1.2434497875801752e-15, -2.842170943040401e-15], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}], "hard": [{"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [75.968, 78.788], "center": [1.7763568394002506e-16, 4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 20.740533203903695], "center": [-2.531308496145357e-15, -8.881784197001253e-17], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [32.344, 66.095], "center": [0.0003333333333337407, 0.0], "color": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879]}, {"name": "triangle", "size": [16.172, 33.047], "center": [0.0006666666666662971, 0.0003333333333331486], "color": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_33.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_33.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_33.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_33.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "B", "hard": "A"}
|
||
2steps_hard_no_54
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['rotate', -30], ['translate', [-30, 30]]]
|
hard
|
{"instance_id": 54, "shape_A": {"name": "triangle", "facecolor": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861], "edgecolor": "black", "center": [-5.921189464667501e-16, 0.0], "size": [19.810842699890337, 56.45566140335922]}, "shape_B": {"name": "hexagon", "facecolor": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571], "edgecolor": "black", "center": [0.0, 0.0], "size": [61.61899126996609, 53.363611795362175]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_54.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [61.617999999999995, 53.364000000000004], "center": [8.881784197001252e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [26.682000000000002, 30.810000000000002], "center": [0.0, -5.921189464667501e-16], "color": [0.9688390034529459, 0.41768404723282604, 0.9697124653116701]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.05587708478340869, 0.4058628049282732, 0.8847980973763346]}], "medium": [{"name": "hexagon", "size": [30.810000000000002, 26.682000000000002], "center": [-8.881784197001252e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [61.618, 53.364], "center": [-5.921189464667501e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.7858304635505055, 0.6654645959842609, 0.9196351530309665]}], "hard": [{"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 47.70006154045896], "center": [1.1842378929335002e-15, 2.3684757858670005e-15], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [30.81, 26.682000000000002], "center": [0.0, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [42.733000000000004, 44.266], "center": [0.0, 0.0], "color": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861]}, {"name": "triangle", "size": [42.733000000000004, 44.266000000000005], "center": [-30.0, 30.0], "color": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_54.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_54.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_54.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_54.png", "instructions": [["rotate", -30], ["translate", [-30, 30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "C", "hard": "A"}
|
||
2steps_hard_no_114
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Rotate the square by 90 degrees clockwise around its center. <shapeB_step_0>
- Shift the square to the left by a significant amount. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['rotate', -90], ['translate', [-30, 0]]]
|
hard
|
{"instance_id": 114, "shape_A": {"name": "rectangle", "facecolor": [0.16505748449207713, 0.9283558712255602, 0.6209840218807274], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.310466789397495, 21.97514752905294]}, "shape_B": {"name": "square", "facecolor": [0.761539869403118, 0.18724641137096631, 0.9828447735354139], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.18343150058638, 30.18343150058638]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_114.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_114.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_114.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_114.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_114.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_114.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_114.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [41.232, 41.232], "center": [0.0, -2.220446049250313e-16], "color": [0.7184028922003179, 0.3539648248166981, 0.3682140646104305]}, {"name": "square", "size": [15.091999999999999, 15.092], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [30.184, 30.184], "center": [0.0, 0.0], "color": [0.7055565777714605, 0.5332601585787259, 0.4231380154768355]}, {"name": "square", "size": [30.183999999999997, 30.184], "center": [-30.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}], "medium": [{"name": "square", "size": [30.183999999999997, 30.184], "center": [-30.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [15.091999999999999, 15.092], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [30.184, 30.184], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [41.232, 41.232], "center": [0.0, 0.0], "color": [0.6052441915317944, 0.7297632893372532, 0.5354854025198286]}], "hard": [{"name": "square", "size": [15.091999999999999, 15.092], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [30.183999999999997, 30.184], "center": [-30.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [30.184, 30.184], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [41.232, 41.232], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [21.976, 32.31], "center": [0.0, 0.0], "color": [0.16505748449207713, 0.9283558712255602, 0.6209840218807274]}, {"name": "rectangle", "size": [21.976, 32.31], "center": [-30.0, 0.0], "color": [0.16505748449207713, 0.9283558712255602, 0.6209840218807274]}], "tranformed_B_sequence_info": [{"name": "square", "size": [30.184, 30.184], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [30.183999999999997, 30.184], "center": [-30.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_114.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_114.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_114.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_114.png", "instructions": [["rotate", -90], ["translate", [-30, 0]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 90 degrees clockwise around its center. <shapeB_step_0>\n- Shift the square to the left by a significant amount. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "A", "hard": "B"}
|
||
2steps_hard_no_117
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_0>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [30, -30]], ['scale', 0.5]]
|
hard
|
{"instance_id": 117, "shape_A": {"name": "ellipse", "facecolor": [0.7218298009143069, 0.237713172425009, 0.5423320422772745], "edgecolor": "black", "center": [-2.220446049250313e-16, -1.3988810110276972e-15], "size": [32.0013952532714, 22.21799979044379]}, "shape_B": {"name": "hexagon", "facecolor": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.87508092385881, 53.58539194127964]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_117.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_117.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_117.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_117.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_117.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_117.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_117.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.9952458958033793, 0.43834090334037057, 0.0007170637618100217]}, {"name": "hexagon", "size": [53.586, 61.876000000000005], "center": [0.0, -5.921189464667501e-16], "color": [0.03433766741658173, 0.5310529134625389, 0.5349079969643663]}], "medium": [{"name": "hexagon", "size": [10.894293268075252, 26.792000000000005], "center": [-2.220446049250313e-16, -5.181040781584064e-16], "color": [0.4286103694029272, 0.21983952405210871, 0.16389177698089252]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "hard": [{"name": "hexagon", "size": [65.422, 82.538], "center": [3.7007434154171886e-16, -1.1842378929335002e-15], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.001999999999995, 22.218000000000004], "center": [30.00000000000001, -29.999999999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}, {"name": "ellipse", "size": [16.0, 11.109000000000002], "center": [30.00014999999999, -29.999774999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_117.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_117.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_117.png", "instructions": [["translate", [30, -30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "D", "hard": "B"}
|
||
2steps_hard_no_51
|
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>
- Shift the ellipse a little to the right. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [30, -30]], ['translate', [10, 0]]]
|
hard
|
{"instance_id": 51, "shape_A": {"name": "circle", "facecolor": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901], "edgecolor": "black", "center": [0.0, 7.993605777301127e-16], "size": [63.11615786927266, 63.11615786927266]}, "shape_B": {"name": "ellipse", "facecolor": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509], "edgecolor": "black", "center": [9.325873406851315e-16, -4.274358644806853e-16], "size": [31.636633103351482, 22.941760952071057]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_51.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_51.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [22.941999999999997, 31.635999999999996], "center": [-6.217248937900876e-16, -1.1102230246251565e-15], "color": [0.4224821603504274, 0.7281976495822304, 0.22706922763976467]}, {"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [-3.552713678800501e-16, 6.217248937900876e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [15.817999999999998, 11.470999999999997], "center": [0.0, 0.0003250000000029729], "color": [0.5960065390007009, 0.7527063322908609, 0.5552393854223482]}, {"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}], "medium": [{"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [-3.552713678800501e-16, 6.217248937900876e-16], "color": [0.9107189250917151, 0.8517868407321012, 0.8152855109911061]}, {"name": "ellipse", "size": [15.817999999999998, 11.471], "center": [-9.999999999967812e-05, 0.0003750000000009246], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [22.942, 31.636000000000003], "center": [-9.992007221626409e-17, 3.552713678800501e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}], "hard": [{"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [-3.552713678800501e-16, 6.217248937900876e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [22.941999999999997, 31.636000000000003], "center": [6.217248937900876e-16, -3.552713678800501e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [16.635778227335944, 22.942], "center": [-4.263256414560601e-15, 4.440892098500626e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [63.116, 63.116], "center": [29.999999999999993, -29.999999999999993], "color": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901]}, {"name": "circle", "size": [63.11600000000001, 63.116], "center": [39.99999999999999, -29.999999999999993], "color": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [30.000000000000007, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_51.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_51.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_51.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_51.png", "instructions": [["translate", [30, -30]], ["translate", [10, 0]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the ellipse a little to the right. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "D", "hard": "A"}
|
||
2steps_hard_no_46
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle a little to the right and significantly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['rotate', -60], ['translate', [10, -30]]]
|
hard
|
{"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.8957184739058375, 0.4406495499811689, 0.598835708808161], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.37069677274037, 21.922365908439833]}, "shape_B": {"name": "circle", "facecolor": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426], "edgecolor": "black", "center": [-1.0658141036401502e-15, 2.6645352591003756e-16], "size": [64.9209410492322, 64.9209410492322]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_46.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.07859458478485915, 0.16338281333792537, 0.37982954913839717]}, {"name": "circle", "size": [75.24, 72.574], "center": [-5.329070518200751e-16, -1.5099033134902129e-15], "color": [0.21887107007457074, 0.4218995588866843, 0.8251673691965223]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [45.668, 40.374], "center": [-0.00017500000000199024, 2.4999999999808507e-05], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "medium": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.8766430624945868, 0.8480760717041813, 0.17721660840147546]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [32.786, 34.498], "center": [-2.6645352591003756e-16, -7.993605777301127e-16], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [74.028, 84.037], "center": [-0.00024999999999835153, 0.00022499999999858744], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "hard": [{"name": "circle", "size": [80.13499999999999, 78.74], "center": [-0.000549999999998807, 5.0000000000594016e-05], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [35.312, 36.268], "center": [-2.5000000001274003e-05, -0.0001749999999993701], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [35.17, 38.996], "center": [3.3306690738754696e-16, 0.0], "color": [0.8957184739058375, 0.4406495499811689, 0.598835708808161]}, {"name": "rectangle", "size": [35.17, 38.995999999999995], "center": [10.0, -29.999999999999996], "color": [0.8957184739058375, 0.4406495499811689, 0.598835708808161]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_46.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_46.png", "instructions": [["rotate", -60], ["translate", [10, -30]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the right and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "B", "hard": "D"}
|
||
2steps_hard_no_65
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the left by a significant amount and slightly upward. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [-30, 10]], ['translate', [-30, 0]]]
|
hard
|
{"instance_id": 65, "shape_A": {"name": "pentagon", "facecolor": [0.3739349932592334, 0.4078218534340765, 0.018567357849827992], "edgecolor": "black", "center": [1.0658141036401502e-15, 0.0], "size": [57.934393824741896, 60.91582659085884]}, "shape_B": {"name": "hexagon", "facecolor": [0.6577496837273551, 0.298256592171686, 0.6576294442780709], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.6987621226422, 56.89679699539899]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_65.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_65.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_65.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_65.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_65.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_65.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_65.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [1.7763568394002505e-15, 0.0], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [65.69800000000001, 68.24799999999999], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.6999123210667704, 0.8151525291771845, 0.7897728485406691]}, {"name": "hexagon", "size": [32.849999999999994, 28.448], "center": [-5.921189464667501e-16, 0.0], "color": [0.7788844625773311, 0.2783813527201836, 0.016268335065970474]}, {"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [-60.0, 10.000000000000002], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}], "medium": [{"name": "hexagon", "size": [32.849999999999994, 28.447999999999997], "center": [5.921189464667501e-16, -1.1842378929335002e-15], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [1.7763568394002505e-15, 0.0], "color": [0.23353224498654612, 0.8316508325347863, 0.030980241076854598]}, {"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [-60.0, 10.000000000000002], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [56.896, 65.698], "center": [0.0, -1.1842378929335002e-15], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}], "hard": [{"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [-60.0, 10.000000000000002], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [38.834, 32.848], "center": [-2.9605947323337506e-16, 2.220446049250313e-16], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [1.7763568394002505e-15, 0.0], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [28.448, 32.848], "center": [0.0, 0.0003333333333331486], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [57.934, 60.916], "center": [-30.000199999999996, 10.0], "color": [0.3739349932592334, 0.4078218534340765, 0.018567357849827992]}, {"name": "pentagon", "size": [57.934000000000005, 60.916], "center": [-60.00019999999999, 10.0], "color": [0.3739349932592334, 0.4078218534340765, 0.018567357849827992]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [65.698, 56.896], "center": [-30.0, 10.000000000000002], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [-60.0, 10.000000000000002], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_65.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_65.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_65.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_65.png", "instructions": [["translate", [-30, 10]], ["translate", [-30, 0]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the left by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "C", "hard": "A"}
|
||
2steps_hard_no_11
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the right and significantly upward. <shapeB_step_0>
- Reduce the size of the triangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['translate', [10, 30]], ['scale', 0.5]]
|
hard
|
{"instance_id": 11, "shape_A": {"name": "ellipse", "facecolor": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046], "edgecolor": "black", "center": [-4.440892098500626e-16, 2.7755575615628914e-17], "size": [34.59015534670558, 23.523169726100182]}, "shape_B": {"name": "triangle", "facecolor": [0.740944798920008, 0.7594932952262566, 0.8671889705502257], "edgecolor": "black", "center": [2.3684757858670005e-15, -5.921189464667501e-16], "size": [52.975039803812166, 46.93491895097725]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_11.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_11.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_11.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.2143185873114406, 0.22135107701554813, 0.2251120409197751]}, {"name": "triangle", "size": [15.331, 31.392000000000003], "center": [-0.07583333333333186, 3.575000000000001], "color": [0.04965104284068489, 0.8538213265855465, 0.7798301351436794]}, {"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "medium": [{"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.7127404881047043, 0.709368196448239, 0.2753785582170396]}, {"name": "triangle", "size": [61.81, 18.643], "center": [-10.063, 3.0628333333333337], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "hard": [{"name": "triangle", "size": [61.81, 18.643], "center": [-10.063, 3.0628333333333337], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.59, 23.524], "center": [10.000000000000002, 30.000000000000007], "color": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046]}, {"name": "ellipse", "size": [17.294999999999998, 11.762], "center": [10.000024999999999, 30.00015], "color": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [52.975, 46.935], "center": [10.000333333333334, 30.0], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_11.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_11.png", "instructions": [["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the right and significantly upward. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "D", "hard": "D"}
|
||
2steps_hard_no_96
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the circle, making it smaller. <shapeB_step_0>
- Shift the circle to the left by a significant amount and slightly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['scale', 0.5], ['translate', [-30, 10]]]
|
hard
|
{"instance_id": 96, "shape_A": {"name": "hexagon", "facecolor": [0.6378964757255793, 0.7674131396176185, 0.4032724249827292], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.58374884159558, 55.06514176467114]}, "shape_B": {"name": "circle", "facecolor": [0.5938629024461598, 0.37413092521995983, 0.5816541375538322], "edgecolor": "black", "center": [1.2434497875801752e-15, -8.215650382226159e-16], "size": [64.71031249267014, 64.71031249267014]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_96.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_96.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_96.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_96.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_96.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_96.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_96.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_96.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_96.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [79.246, 75.68], "center": [1.9539925233402757e-15, 2.4424906541753444e-15], "color": [0.5938629024461598, 0.37413092521995983, 0.5816541375538322]}, {"name": "circle", "size": [32.355999999999995, 32.356], "center": [-29.999999999999993, 9.999999999999996], "color": [0.5938629024461598, 0.37413092521995983, 0.5816541375538322]}, {"name": "circle", "size": [70.232, 67.051], "center": [-0.0001499999999976964, -9.999999999990016e-05], "color": [0.22785213289090112, 0.6037174333421218, 0.6150867219032115]}, {"name": "circle", "size": [32.356, 32.356], "center": [-1.3322676295501878e-16, -4.773959005888173e-16], "color": [0.2949563876233863, 0.5727609744419483, 0.9857877523797165]}], "medium": [{"name": "circle", "size": [32.356, 32.356], "center": [-1.3322676295501878e-16, -4.773959005888173e-16], "color": [0.5938629024461598, 0.37413092521995983, 0.5816541375538322]}, {"name": "circle", "size": [32.355999999999995, 32.356], "center": [-29.999999999999993, 9.999999999999996], "color": [0.5938629024461598, 0.37413092521995983, 0.5816541375538322]}, {"name": "circle", "size": [68.376, 65.928], "center": [1.5987211554602255e-15, -8.326672684688674e-17], "color": [0.350924013076949, 0.39052155358204044, 0.7947294746429048]}, {"name": "circle", "size": [83.082, 80.967], "center": [-1.7763568394002505e-15, -2.4999999999675283e-05], "color": [0.5938629024461598, 0.37413092521995983, 0.5816541375538322]}], "hard": [{"name": "circle", "size": [32.355999999999995, 32.356], "center": [-29.999999999999993, 9.999999999999996], "color": [0.5938629024461598, 0.37413092521995983, 0.5816541375538322]}, {"name": "circle", "size": [64.71, 64.71000000000001], "center": [-1.7763568394002506e-16, -9.769962616701378e-16], "color": [0.5938629024461598, 0.37413092521995983, 0.5816541375538322]}, {"name": "circle", "size": [32.356, 32.356], "center": [-1.3322676295501878e-16, -4.773959005888173e-16], "color": [0.5938629024461598, 0.37413092521995983, 0.5816541375538322]}, {"name": "circle", "size": [82.91300000000001, 93.09100000000001], "center": [-0.0004250000000024734, -0.0005250000000015298], "color": [0.5938629024461598, 0.37413092521995983, 0.5816541375538322]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [31.792, 27.532], "center": [0.0, 0.0], "color": [0.6378964757255793, 0.7674131396176185, 0.4032724249827292]}, {"name": "hexagon", "size": [31.792, 27.531999999999996], "center": [-30.0, 10.0], "color": [0.6378964757255793, 0.7674131396176185, 0.4032724249827292]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [32.356, 32.356], "center": [-1.3322676295501878e-16, -4.773959005888173e-16], "color": [0.5938629024461598, 0.37413092521995983, 0.5816541375538322]}, {"name": "circle", "size": [32.355999999999995, 32.356], "center": [-29.999999999999993, 9.999999999999996], "color": [0.5938629024461598, 0.37413092521995983, 0.5816541375538322]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_96.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_96.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_96.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_96.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_96.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_96.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_96.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_96.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_96.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_96.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_96.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_96.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_96.png", "instructions": [["scale", 0.5], ["translate", [-30, 10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n- Shift the circle to the left by a significant amount and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "B", "hard": "A"}
|
||
2steps_hard_no_116
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_0>
- Reduce the size of the rectangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['rotate', -90], ['scale', 0.5]]
|
hard
|
{"instance_id": 116, "shape_A": {"name": "hexagon", "facecolor": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.46649890873571, 54.96360034422247]}, "shape_B": {"name": "rectangle", "facecolor": [0.9984367810079988, 0.43255898543761095, 0.767455259870214], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.04667739523437, 20.34563245259622]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_116.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_116.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_116.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_116.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_116.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_116.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [30.046000000000003, 20.345999999999997], "center": [-1.7763568394002505e-15, 8.881784197001252e-16], "color": [0.2698497153897096, 0.8506154747557466, 0.04289290810317403]}, {"name": "rectangle", "size": [40.184, 28.712000000000003], "center": [0.0, 4.440892098500626e-16], "color": [0.24819004614536366, 0.4136054076086292, 0.2215600510211484]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}], "hard": [{"name": "rectangle", "size": [23.006, 19.16], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [32.644000000000005, 36.194], "center": [-8.881784197001252e-16, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [54.964, 63.466], "center": [0.0, 0.0], "color": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166]}, {"name": "hexagon", "size": [27.482, 31.732], "center": [0.0, 0.0], "color": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_116.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_116.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_116.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the rectangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "hard": "D"}
|
||
2steps_hard_no_76
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square significantly downward. <shapeB_step_0>
- Shift the square slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [0, -30]], ['translate', [0, -10]]]
|
hard
|
{"instance_id": 76, "shape_A": {"name": "pentagon", "facecolor": [0.8067596155554129, 0.7626401728174794, 0.3050755291508753], "edgecolor": "black", "center": [3.552713678800501e-16, 0.0], "size": [62.440194443658456, 65.65350573159901]}, "shape_B": {"name": "square", "facecolor": [0.1727610819391796, 0.38489471116072127, 0.710585656937022], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.80515545597529, 34.80515545597529]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_76.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_76.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_76.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_76.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_76.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_76.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_76.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [34.806, 34.806], "center": [0.0, 0.0], "color": [0.8561496304619378, 0.6613504584117136, 0.9268290724841781]}, {"name": "square", "size": [34.806, 34.806], "center": [0.0, -40.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [17.403000000000002, 17.404], "center": [-1.7763568394002505e-15, 0.0], "color": [0.6549141373264239, 0.9446999686133826, 0.6299810570480012]}, {"name": "square", "size": [47.544, 47.544], "center": [0.0, -8.881784197001252e-16], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}], "medium": [{"name": "square", "size": [47.544, 47.544], "center": [0.0, 0.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [23.772000000000002, 23.772], "center": [1.7763568394002505e-15, 0.0], "color": [0.5958807108913992, 0.5320116674090916, 0.40089303600401494]}, {"name": "square", "size": [34.806, 34.806], "center": [0.0, 0.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [34.806, 34.806], "center": [0.0, -40.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}], "hard": [{"name": "square", "size": [34.806, 34.806], "center": [0.0, -40.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [23.773, 23.772], "center": [0.00024999999999986144, 0.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [34.806, 34.806], "center": [0.0, 0.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [47.544, 47.544], "center": [8.881784197001252e-16, -8.881784197001252e-16], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [62.44, 65.654], "center": [7.105427357601002e-16, -30.0], "color": [0.8067596155554129, 0.7626401728174794, 0.3050755291508753]}, {"name": "pentagon", "size": [62.44, 65.654], "center": [7.105427357601002e-16, -40.0], "color": [0.8067596155554129, 0.7626401728174794, 0.3050755291508753]}], "tranformed_B_sequence_info": [{"name": "square", "size": [34.806, 34.806], "center": [0.0, -29.999999999999996], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [34.806, 34.806], "center": [0.0, -40.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_76.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_76.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_76.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_76.png", "instructions": [["translate", [0, -30]], ["translate", [0, -10]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square significantly downward. <shapeB_step_0>\n- Shift the square slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "B", "medium": "D", "hard": "A"}
|
||
2steps_hard_no_49
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Rotate the square by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the square a little to the left and significantly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['rotate', -60], ['translate', [-10, -30]]]
|
hard
|
{"instance_id": 49, "shape_A": {"name": "pentagon", "facecolor": [0.44311457662910947, 0.7215474990307839, 0.08537359111921405], "edgecolor": "black", "center": [-1.0658141036401502e-15, 7.105427357601002e-16], "size": [57.159828053232914, 60.10139994192919]}, "shape_B": {"name": "square", "facecolor": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.954063341855274, 32.954063341855274]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_49.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_49.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_49.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_49.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_49.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_49.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_49.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [22.508, 22.508], "center": [0.0, 0.0], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [32.954, 32.954], "center": [0.0, 0.0], "color": [0.8930425330015984, 0.3082593278803408, 0.06488238551384207]}, {"name": "square", "size": [45.016000000000005, 45.016000000000005], "center": [-10.000000000000002, -30.000000000000004], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [45.016, 45.016], "center": [2.220446049250313e-16, 0.0], "color": [0.9142065552503801, 0.6398386839887024, 0.36856609898201464]}], "medium": [{"name": "square", "size": [32.954, 32.954], "center": [0.0, 0.0], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [16.478, 16.478], "center": [0.0, 0.0], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [45.016, 45.016], "center": [2.220446049250313e-16, 0.0], "color": [0.018980600178872264, 0.05758088812100004, 0.26600437911588204]}, {"name": "square", "size": [45.016000000000005, 45.016000000000005], "center": [-10.000000000000002, -30.000000000000004], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}], "hard": [{"name": "square", "size": [22.508000000000003, 22.508], "center": [-4.440892098500626e-16, 8.881784197001252e-16], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [45.016, 45.016], "center": [2.220446049250313e-16, 0.0], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [32.954, 32.954], "center": [0.0, 0.0], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [45.016000000000005, 45.016000000000005], "center": [-10.000000000000002, -30.000000000000004], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [59.772, 58.788], "center": [0.00020000000000024442, -7.105427357601002e-16], "color": [0.44311457662910947, 0.7215474990307839, 0.08537359111921405]}, {"name": "pentagon", "size": [59.772000000000006, 58.788], "center": [-9.9998, -30.0], "color": [0.44311457662910947, 0.7215474990307839, 0.08537359111921405]}], "tranformed_B_sequence_info": [{"name": "square", "size": [45.016, 45.016], "center": [2.220446049250313e-16, 0.0], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [45.016000000000005, 45.016000000000005], "center": [-10.000000000000002, -30.000000000000004], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_49.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_49.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_49.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_49.png", "instructions": [["rotate", -60], ["translate", [-10, -30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "C", "medium": "D", "hard": "D"}
|
||
2steps_hard_no_48
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the right by a significant amount. <shapeB_step_0>
- Shift the square a little to the right and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['translate', [30, 0]], ['translate', [10, -10]]]
|
hard
|
{"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.5668746151748413, 0.614809201762814, 0.7409945757086595], "edgecolor": "black", "center": [-2.6645352591003756e-16, 3.108624468950438e-16], "size": [33.266598335046034, 23.512351250803153]}, "shape_B": {"name": "square", "facecolor": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.18136031751098, 31.18136031751098]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_48.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.2538962481737801, 0.810763463028352, 0.7749309576907558]}, {"name": "square", "size": [42.596000000000004, 42.596000000000004], "center": [8.881784197001252e-16, 0.0], "color": [0.9418983460930013, 0.5710437173591865, 0.2610379298436133]}, {"name": "square", "size": [21.296, 21.296], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "medium": [{"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [42.594, 42.594], "center": [2.220446049250313e-16, 0.0], "color": [0.77922051345454, 0.7297668452697064, 0.5868795122897497]}, {"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [21.298, 21.298], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "hard": [{"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [42.593999999999994, 42.593999999999994], "center": [8.881784197001252e-16, 8.881784197001252e-16], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [15.59, 15.590000000000003], "center": [0.0, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.266000000000005, 23.512], "center": [30.0, -3.219646771412954e-16], "color": [0.5668746151748413, 0.614809201762814, 0.7409945757086595]}, {"name": "ellipse", "size": [33.266000000000005, 23.512], "center": [40.0, -10.0], "color": [0.5668746151748413, 0.614809201762814, 0.7409945757086595]}], "tranformed_B_sequence_info": [{"name": "square", "size": [31.182000000000002, 31.182], "center": [30.000000000000004, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_48.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_48.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_48.png", "instructions": [["translate", [30, 0]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the right by a significant amount. <shapeB_step_0>\n- Shift the square a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "A", "hard": "A"}
|
||
2steps_hard_no_98
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_0>
- Shift the rectangle a little to the left. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['translate', [-30, -10]], ['translate', [-10, 0]]]
|
hard
|
{"instance_id": 98, "shape_A": {"name": "ellipse", "facecolor": [0.8970940726076202, 0.33045794963254105, 0.767542057392423], "edgecolor": "black", "center": [9.769962616701378e-16, -2.3869795029440865e-16], "size": [33.58914232667937, 20.617897771545824]}, "shape_B": {"name": "rectangle", "facecolor": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.319408228599045, 21.211001990341508]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_98.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_98.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_98.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_98.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_98.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_98.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_98.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [-40.0, -10.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [10.605999999999998, 16.659999999999997], "center": [1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.8759508567636703, 0.4817134409527545, 0.7620590965747202]}, {"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.15113042808454258, 0.8738708220700687, 0.045132426592148445]}, {"name": "rectangle", "size": [39.46, 35.028000000000006], "center": [0.0, -8.881784197001252e-16], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}], "medium": [{"name": "rectangle", "size": [39.461999999999996, 35.03], "center": [1.7763568394002505e-15, 0.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [-40.0, -10.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [16.66, 10.605999999999998], "center": [0.0, 1.7763568394002505e-15], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.8107683600265114, 0.679282690081716, 0.36162189024638225]}], "hard": [{"name": "rectangle", "size": [61.368, 40.71], "center": [2.220446049250313e-16, 0.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [13.503869867947184, 21.212000000000003], "center": [1.7763568394002505e-15, 8.881784197001252e-16], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [-40.0, -10.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.59, 20.618000000000002], "center": [-29.999999999999993, -9.999999999999998], "color": [0.8970940726076202, 0.33045794963254105, 0.767542057392423]}, {"name": "ellipse", "size": [33.59, 20.618000000000002], "center": [-40.0, -9.999999999999998], "color": [0.8970940726076202, 0.33045794963254105, 0.767542057392423]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [-30.0, -10.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}, {"name": "rectangle", "size": [33.31999999999999, 21.212000000000003], "center": [-40.0, -10.0], "color": [0.3619655367418374, 0.8492248807591597, 0.33947919884856526]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_98.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_98.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_98.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_98.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_98.png", "instructions": [["translate", [-30, -10]], ["translate", [-10, 0]]], "correct_answer": {"easy": "A", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the rectangle a little to the left. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "B", "hard": "D"}
|
||
2steps_hard_no_70
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the rectangle, making it smaller. <shapeB_step_0>
- Increase the size of the rectangle, making it larger. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['scale', 0.5], ['scale', 2.0]]
|
hard
|
{"instance_id": 70, "shape_A": {"name": "hexagon", "facecolor": [0.9657240405380021, 0.03664792979565512, 0.11842169647719947], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.62753618729836, 57.70113892976737]}, "shape_B": {"name": "rectangle", "facecolor": [0.762417943017866, 0.5107435566709644, 0.13381510090440019], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.93811116938588, 23.03347691496706]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_70.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_70.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_70.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_70.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_70.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_70.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_70.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_70.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_70.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [39.176, 35.918], "center": [0.0, 0.0], "color": [0.762417943017866, 0.5107435566709644, 0.13381510090440019]}, {"name": "rectangle", "size": [23.034, 31.938], "center": [0.0, 0.0], "color": [0.8003660029682397, 0.4422591867754282, 0.7397350750979879]}, {"name": "rectangle", "size": [15.97, 11.516], "center": [0.0, 0.0], "color": [0.7659421575874723, 0.8398643419548284, 0.6582001663654888]}, {"name": "rectangle", "size": [31.938, 23.034], "center": [0.0, 0.0], "color": [0.762417943017866, 0.5107435566709644, 0.13381510090440019]}], "medium": [{"name": "rectangle", "size": [39.176, 35.918], "center": [0.0, 3.885780586188048e-16], "color": [0.6455304312268583, 0.942791926016504, 0.8912403359892487]}, {"name": "rectangle", "size": [15.97, 11.516], "center": [0.0, 0.0], "color": [0.762417943017866, 0.5107435566709644, 0.13381510090440019]}, {"name": "rectangle", "size": [31.938, 23.034], "center": [0.0, 0.0], "color": [0.762417943017866, 0.5107435566709644, 0.13381510090440019]}, {"name": "rectangle", "size": [21.11724382274862, 23.034], "center": [-5.551115123125783e-17, 0.0], "color": [0.762417943017866, 0.5107435566709644, 0.13381510090440019]}], "hard": [{"name": "rectangle", "size": [17.502858252427185, 23.034], "center": [4.440892098500626e-16, 0.0], "color": [0.762417943017866, 0.5107435566709644, 0.13381510090440019]}, {"name": "rectangle", "size": [15.97, 11.516], "center": [0.0, 0.0], "color": [0.762417943017866, 0.5107435566709644, 0.13381510090440019]}, {"name": "rectangle", "size": [35.916, 39.176], "center": [0.0, 8.881784197001252e-16], "color": [0.762417943017866, 0.5107435566709644, 0.13381510090440019]}, {"name": "rectangle", "size": [31.938, 23.034], "center": [0.0, 0.0], "color": [0.762417943017866, 0.5107435566709644, 0.13381510090440019]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [33.314, 28.85], "center": [0.0, 0.0], "color": [0.9657240405380021, 0.03664792979565512, 0.11842169647719947]}, {"name": "hexagon", "size": [66.628, 57.702], "center": [1.1842378929335002e-15, 0.0], "color": [0.9657240405380021, 0.03664792979565512, 0.11842169647719947]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [15.97, 11.516], "center": [0.0, 0.0], "color": [0.762417943017866, 0.5107435566709644, 0.13381510090440019]}, {"name": "rectangle", "size": [31.938, 23.034], "center": [0.0, 0.0], "color": [0.762417943017866, 0.5107435566709644, 0.13381510090440019]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_70.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_70.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_70.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_70.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_70.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_70.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_70.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_70.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_70.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_70.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_70.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_70.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_70.png", "instructions": [["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n- Increase the size of the rectangle, making it larger. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "D", "medium": "C", "hard": "D"}
|
||
2steps_hard_no_1
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the rectangle to the left by a significant amount and slightly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['rotate', 30], ['translate', [-30, 10]]]
|
hard
|
{"instance_id": 1, "shape_A": {"name": "hexagon", "facecolor": [0.5765880434965995, 0.25472250613858194, 0.7087852838341706], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.1391564505836, 54.680113459725504]}, "shape_B": {"name": "rectangle", "facecolor": [0.9625343157615555, 0.2654663625229686, 0.1084025472147111], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.353142522165, 21.82110735890632]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_1.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_1.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_1.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_1.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_1.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_1.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_1.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_1.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_1.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [39.79600000000001, 35.574], "center": [-30.0, 10.0], "color": [0.9625343157615555, 0.2654663625229686, 0.1084025472147111]}, {"name": "rectangle", "size": [39.796, 35.574], "center": [0.0, -1.6653345369377348e-16], "color": [0.23486859852668396, 0.3104194642949153, 0.8065628945762658]}, {"name": "rectangle", "size": [17.788, 19.898], "center": [-0.0002499999999997782, 0.0], "color": [0.9625343157615555, 0.2654663625229686, 0.1084025472147111]}, {"name": "rectangle", "size": [44.298, 45.058], "center": [0.0, -3.885780586188048e-16], "color": [0.6192608053623755, 0.09338720007556267, 0.9519996624524752]}], "medium": [{"name": "rectangle", "size": [23.274444684295734, 35.574], "center": [1.7763568394002505e-15, 0.0], "color": [0.9625343157615555, 0.2654663625229686, 0.1084025472147111]}, {"name": "rectangle", "size": [39.796, 35.574], "center": [0.0, -1.6653345369377348e-16], "color": [0.830569169721415, 0.5478719506108284, 0.8972081032332622]}, {"name": "rectangle", "size": [19.364, 74.714], "center": [-1.1102230246251565e-16, -4.996003610813204e-16], "color": [0.9625343157615555, 0.2654663625229686, 0.1084025472147111]}, {"name": "rectangle", "size": [39.79600000000001, 35.574], "center": [-30.0, 10.0], "color": [0.9625343157615555, 0.2654663625229686, 0.1084025472147111]}], "hard": [{"name": "rectangle", "size": [39.796, 35.574], "center": [0.0, -1.6653345369377348e-16], "color": [0.9625343157615555, 0.2654663625229686, 0.1084025472147111]}, {"name": "rectangle", "size": [16.676000000000002, 10.911999999999999], "center": [0.0, 4.440892098500626e-16], "color": [0.9625343157615555, 0.2654663625229686, 0.1084025472147111]}, {"name": "rectangle", "size": [26.525505585843238, 35.574], "center": [0.0, 0.0], "color": [0.9625343157615555, 0.2654663625229686, 0.1084025472147111]}, {"name": "rectangle", "size": [39.79600000000001, 35.574], "center": [-30.0, 10.0], "color": [0.9625343157615555, 0.2654663625229686, 0.1084025472147111]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [54.68, 63.14], "center": [0.0, 5.921189464667501e-16], "color": [0.5765880434965995, 0.25472250613858194, 0.7087852838341706]}, {"name": "hexagon", "size": [54.68000000000001, 63.14], "center": [-30.0, 10.0], "color": [0.5765880434965995, 0.25472250613858194, 0.7087852838341706]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [39.796, 35.574], "center": [0.0, -1.6653345369377348e-16], "color": [0.9625343157615555, 0.2654663625229686, 0.1084025472147111]}, {"name": "rectangle", "size": [39.79600000000001, 35.574], "center": [-30.0, 10.0], "color": [0.9625343157615555, 0.2654663625229686, 0.1084025472147111]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_1.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_1.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_1.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_1.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_1.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_1.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_1.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_1.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_1.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_1.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_1.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_1.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_1.png", "instructions": [["rotate", 30], ["translate", [-30, 10]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the rectangle to the left by a significant amount and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "D", "hard": "D"}
|
||
2steps_hard_no_68
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon slightly downward. <shapeB_step_0>
- Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
B
|
[['translate', [0, -10]], ['translate', [30, -30]]]
|
hard
|
{"instance_id": 68, "shape_A": {"name": "ellipse", "facecolor": [0.26726579155818575, 0.5950126088090331, 0.6456888734266008], "edgecolor": "black", "center": [-3.108624468950438e-16, -3.8857805861880476e-17], "size": [30.386934029224793, 22.99371048487331]}, "shape_B": {"name": "hexagon", "facecolor": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [67.06065703228758, 58.07623258443661]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_68.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_68.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_68.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_68.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_68.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_68.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_68.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [30.0, -40.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [0.0, 0.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [58.076, 67.06], "center": [0.0, 0.0], "color": [0.7186010371748555, 0.5857238300434406, 0.9345603650847084]}, {"name": "hexagon", "size": [33.53, 29.037999999999997], "center": [-1.1842378929335002e-15, -5.921189464667501e-16], "color": [0.5336674511848507, 0.6509165173368888, 0.6605328907595868]}], "medium": [{"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [0.0, 0.0], "color": [0.40081405122538905, 0.46753863057191214, 0.9795418424528419]}, {"name": "hexagon", "size": [69.074, 83.686], "center": [0.0, 1.1842378929335002e-15], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [58.07599999999999, 67.06], "center": [0.0, 0.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [30.0, -40.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}], "hard": [{"name": "hexagon", "size": [50.29558270205784, 58.07599999999999], "center": [-1.1842378929335002e-15, 2.9605947323337506e-16], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [30.0, -40.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [0.0, 0.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [33.53, 29.037999999999997], "center": [-1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [30.386, 22.994], "center": [-4.440892098500626e-16, -9.999999999999998], "color": [0.26726579155818575, 0.5950126088090331, 0.6456888734266008]}, {"name": "ellipse", "size": [30.385999999999996, 22.994], "center": [29.999999999999993, -40.0], "color": [0.26726579155818575, 0.5950126088090331, 0.6456888734266008]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [0.0, -9.999999999999998], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}, {"name": "hexagon", "size": [67.06, 58.07599999999999], "center": [30.0, -40.0], "color": [0.20886577743654833, 0.5227186227240525, 0.21758934096202387]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_68.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_68.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_68.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_68.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_68.png", "instructions": [["translate", [0, -10]], ["translate", [30, -30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon slightly downward. <shapeB_step_0>\n- Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "D", "hard": "B"}
|
||
2steps_hard_no_34
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the triangle, making it smaller. <shapeB_step_0>
- Increase the size of the triangle, making it larger. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
D
|
[['scale', 0.5], ['scale', 2.0]]
|
hard
|
{"instance_id": 34, "shape_A": {"name": "ellipse", "facecolor": [0.9896430783887331, 0.3734743596330379, 0.5657145935088911], "edgecolor": "black", "center": [-1.3322676295501878e-16, 3.3306690738754696e-16], "size": [30.561674629590005, 20.791119590349158]}, "shape_B": {"name": "triangle", "facecolor": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [58.02139843134554, 31.336971788327855]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_34.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [58.021, 31.337000000000003], "center": [5.921189464667501e-16, 0.0003333333333331486], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [40.52, 45.858999999999995], "center": [2.632999999999999, 6.797499999999999], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [31.336999999999996, 58.021], "center": [-1.2621666666666662, 1.1184999999999998], "color": [0.42714964710544734, 0.2588529501525657, 0.22288998651785008]}, {"name": "triangle", "size": [29.011, 15.668], "center": [-0.5595, -0.6309999999999999], "color": [0.8282226427640579, 0.01887165016336667, 0.22522993625986798]}], "medium": [{"name": "triangle", "size": [29.011, 15.668], "center": [-0.5595, -0.6309999999999999], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [58.021, 31.337000000000003], "center": [5.921189464667501e-16, 0.0003333333333331486], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [23.118, 59.975], "center": [-0.20099999999999932, 4.5705], "color": [0.3717040391084181, 0.41487637030520064, 0.15748269423275552]}, {"name": "triangle", "size": [45.859, 40.519999999999996], "center": [-6.797499999999999, -2.6330000000000005], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}], "hard": [{"name": "triangle", "size": [12.079179091288038, 31.337000000000003], "center": [-0.10502270946227583, 2.388091012922051], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [29.011, 15.668], "center": [-0.5595, -0.6309999999999999], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [20.261, 22.929000000000002], "center": [-1.3164999999999998, 3.3985], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [58.021, 31.337000000000003], "center": [5.921189464667501e-16, 0.0003333333333331486], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [15.28, 10.396], "center": [-1.9984014443252818e-16, -2.220446049250313e-16], "color": [0.9896430783887331, 0.3734743596330379, 0.5657145935088911]}, {"name": "ellipse", "size": [30.562, 20.792], "center": [-3.108624468950438e-16, -2.220446049250313e-16], "color": [0.9896430783887331, 0.3734743596330379, 0.5657145935088911]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [29.011, 15.668], "center": [-7.401486830834377e-17, -2.9605947323337506e-16], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}, {"name": "triangle", "size": [58.021, 31.337000000000003], "center": [5.921189464667501e-16, 0.0003333333333331486], "color": [0.7980969998838833, 0.8316744456320806, 0.060286357350514796]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_34.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_34.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_34.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_34.png", "instructions": [["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "A", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n- Increase the size of the triangle, making it larger. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
|
{"easy": "A", "medium": "B", "hard": "D"}
|
||
2steps_hard_no_43
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the hexagon a little to the right and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
|
A
|
[['rotate', -60], ['translate', [10, -10]]]
|
hard
|
{"instance_id": 43, "shape_A": {"name": "square", "facecolor": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.672575199287046, 30.672575199287046]}, "shape_B": {"name": "hexagon", "facecolor": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [62.99593641122776, 54.55608126731234]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_43.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_43.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_43.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_43.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_43.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_43.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_43.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.22925712689524536, 0.8125995484455614, 0.26614010120702536]}, {"name": "hexagon", "size": [54.556, 62.996], "center": [0.0, 5.921189464667501e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [31.498, 30.772], "center": [-2.9605947323337506e-16, 0.0], "color": [0.5202618667015605, 0.5549973315285789, 0.6771417448734178]}], "medium": [{"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [47.24676385802273, 54.556], "center": [0.0, 8.881784197001252e-16], "color": [0.08263260638681347, 0.19042201698407435, 0.953088654617766]}, {"name": "hexagon", "size": [54.556, 62.995999999999995], "center": [0.0, 2.9605947323337506e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}], "hard": [{"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [54.556, 62.995999999999995], "center": [0.0, -8.881784197001252e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [27.278, 31.497999999999998], "center": [0.0, -2.9605947323337506e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [41.9, 41.9], "center": [2.220446049250313e-16, 0.0], "color": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364]}, {"name": "square", "size": [41.9, 41.9], "center": [10.0, -10.0], "color": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_43.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_43.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_43.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_43.png", "instructions": [["rotate", -60], ["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
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{"easy": "C", "medium": "B", "hard": "A"}
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