Dataset Viewer
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imagewidth (px) 2.36k
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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>
- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
- Shift the circle a little to the left and significantly downward. <shapeB_step_3>
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]], ['flip', 'horizontal'], ['translate', [-10, -30]]]
|
easy
|
{"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [0, 0], "size": 33.018630156834455}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926], "edgecolor": "black", "center": [0, 0], "size": 33.49069697494114}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_0.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_0.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_0.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_0.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_0.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_0.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_0.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_0.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_0.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_0.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5], ["translate", [30, 0]], ["flip", "horizontal"], ["translate", [-10, -30]]], "correct_answer": {"easy": "B", "medium": "A", "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 right by a significant amount. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n- Shift the circle a little to the left and significantly downward. <shapeB_step_3>\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"}
|
||
easy_no_1
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the left by a significant amount. <shapeB_step_0>
- Reduce the size of the square, making it smaller. <shapeB_step_1>
- Shift the square a little to the left and slightly downward. <shapeB_step_2>
- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_3>
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], ['translate', [-10, -10]], ['rotate', 60]]
|
easy
|
{"instance_id": 1, "shape_A": {"name": "rectangle", "facecolor": [0.21770089841417495, 0.0584832920072994, 0.7357371787890434], "edgecolor": "black", "center": [0, 0], "size": [32.84837705069093, 22.894595287536053]}, "shape_B": {"name": "square", "facecolor": [0.6618713119507452, 0.4866714116543295, 0.18989786726763713], "edgecolor": "black", "center": [0, 0], "size": 34.70798063614545}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_1.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_1.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_1.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_1.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_1.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_1.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_1.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_1.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_1.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_1.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_1.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_1.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_1.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_1.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_1.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_1.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_1.png", "instructions": [["translate", [-30, 0]], ["scale", 0.5], ["translate", [-10, -10]], ["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 to the left by a significant amount. <shapeB_step_0>\n- Reduce the size of the square, making it smaller. <shapeB_step_1>\n- Shift the square a little to the left and slightly downward. <shapeB_step_2>\n- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_3>\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"}
|
||
easy_no_2
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the triangle by 90 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the triangle to the right by a significant amount. <shapeB_step_2>
- Rotate the triangle by 90 degrees counter-clockwise around its center. <shapeB_step_3>
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], ['translate', [30, 0]], ['rotate', 90]]
|
easy
|
{"instance_id": 2, "shape_A": {"name": "rectangle", "facecolor": [0.816586605596929, 0.4603032346789421, 0.30519086733860057], "edgecolor": "black", "center": [0, 0], "size": [34.85200305511114, 20.89283908086232]}, "shape_B": {"name": "triangle", "facecolor": [0.7953454991528618, 0.22759548740777036, 0.02366443470145152], "edgecolor": "black", "center": [0, 0], "size": 34.81267157880778}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_2.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_2.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_2.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_2.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_2.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_2.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_2.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_2.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_2.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_2.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_2.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_2.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_2.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_2.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_2.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_2.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_2.png", "instructions": [["rotate", 60], ["rotate", 90], ["translate", [30, 0]], ["rotate", 90]], "correct_answer": {"easy": "B", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the triangle to the right by a significant amount. <shapeB_step_2>\n- Rotate the triangle by 90 degrees counter-clockwise around its center. <shapeB_step_3>\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": "D"}
|
||
easy_no_5
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle a little to the right and slightly downward. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>
- Shift the circle a little to the left and significantly downward. <shapeB_step_2>
- Reduce the size of the circle, making it smaller. <shapeB_step_3>
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]], ['translate', [30, 10]], ['translate', [-10, -30]], ['scale', 0.5]]
|
easy
|
{"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.5304826886589294, 0.3761944057034886, 0.45364579067301736], "edgecolor": "black", "center": [0, 0], "size": [32.120073865564976, 23.035380037205076]}, "shape_B": {"name": "circle", "facecolor": [0.028953181061268318, 0.2732703887127248, 0.7624095179809979], "edgecolor": "black", "center": [0, 0], "size": 30.77789951702244}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_5.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_5.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_5.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_5.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_5.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_5.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_5.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_5.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_5.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_5.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_5.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_5.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_5.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_5.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_5.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_5.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_5.png", "instructions": [["translate", [10, -10]], ["translate", [30, 10]], ["translate", [-10, -30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "B", "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 slightly downward. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Shift the circle a little to the left and significantly downward. <shapeB_step_2>\n- Reduce the size of the circle, making it smaller. <shapeB_step_3>\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": "B"}
|
||
easy_no_6
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle significantly downward. <shapeB_step_0>
- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_1>
- Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_3>
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', [0, -30]], ['rotate', -30], ['flip', 'vertical'], ['rotate', 30]]
|
easy
|
{"instance_id": 6, "shape_A": {"name": "hexagon", "facecolor": [0.6375125378832983, 0.3633111306509823, 0.8010959755621699], "edgecolor": "black", "center": [0, 0], "size": 32.836223208620595}, "shape_B": {"name": "triangle", "facecolor": [0.3525593103084823, 0.998150597773049, 0.2745553600748576], "edgecolor": "black", "center": [0, 0], "size": 33.89257686753433}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_6.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_6.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_6.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_6.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_6.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_6.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_6.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_6.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_6.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_6.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_6.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_6.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_6.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_6.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_6.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_6.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_6.png", "instructions": [["translate", [0, -30]], ["rotate", -30], ["flip", "vertical"], ["rotate", 30]], "correct_answer": {"easy": "C", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle significantly downward. <shapeB_step_0>\n- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_3>\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": "A"}
|
||
easy_no_7
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the right by a significant amount. <shapeB_step_0>
- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_1>
- Shift the triangle a little to the right and significantly upward. <shapeB_step_2>
- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_3>
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]], ['rotate', -30], ['translate', [10, 30]], ['rotate', -30]]
|
easy
|
{"instance_id": 7, "shape_A": {"name": "ellipse", "facecolor": [0.37054019805029126, 0.5616512157483692, 0.31911588640315725], "edgecolor": "black", "center": [0, 0], "size": [32.888435189467984, 21.563574604311366]}, "shape_B": {"name": "triangle", "facecolor": [0.8607773657543253, 0.9753741279148802, 0.13076615155238647], "edgecolor": "black", "center": [0, 0], "size": 31.637179104005973}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_7.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_7.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_7.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_7.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_7.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_7.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_7.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_7.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_7.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_7.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_7.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_7.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_7.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_7.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_7.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_7.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_7.png", "instructions": [["translate", [30, 0]], ["rotate", -30], ["translate", [10, 30]], ["rotate", -30]], "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 - Shift the triangle to the right by a significant amount. <shapeB_step_0>\n- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_1>\n- Shift the triangle a little to the right and significantly upward. <shapeB_step_2>\n- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_3>\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"}
|
||
easy_no_10
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Reduce the size of the square, making it smaller. <shapeB_step_0>
- Increase the size of the square, making it larger. <shapeB_step_1>
- Shift the square a little to the right and significantly downward. <shapeB_step_2>
- Rotate the square by -60 degrees clockwise around its center. <shapeB_step_3>
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], ['translate', [10, -30]], ['rotate', -60]]
|
easy
|
{"instance_id": 10, "shape_A": {"name": "ellipse", "facecolor": [0.2697664432393865, 0.1325070044941994, 0.18739178352787722], "edgecolor": "black", "center": [0, 0], "size": [30.42349758464261, 24.505680224282166]}, "shape_B": {"name": "square", "facecolor": [0.15422096386551842, 0.7116771547786167, 0.6339008819630509], "edgecolor": "black", "center": [0, 0], "size": 31.622151652862062}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_10.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_10.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_10.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_10.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_10.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_10.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_10.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_10.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_10.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_10.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_10.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_10.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_10.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_10.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_10.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_10.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_10.png", "instructions": [["scale", 0.5], ["scale", 2.0], ["translate", [10, -30]], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Increase the size of the square, making it larger. <shapeB_step_1>\n- Shift the square a little to the right and significantly downward. <shapeB_step_2>\n- Rotate the square by -60 degrees clockwise around its center. <shapeB_step_3>\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"}
|
||
easy_no_11
|
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the ellipse to the left by a significant amount and slightly upward. <shapeB_step_1>
- Reduce the size of the ellipse, making it smaller. <shapeB_step_2>
- Shift the ellipse a little to the left and significantly upward. <shapeB_step_3>
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, 10]], ['scale', 0.5], ['translate', [-10, 30]]]
|
easy
|
{"instance_id": 11, "shape_A": {"name": "square", "facecolor": [0.5885899565401472, 0.5004657816197345, 0.3449673875995183], "edgecolor": "black", "center": [0, 0], "size": 34.05092968459349}, "shape_B": {"name": "ellipse", "facecolor": [0.1416751768315483, 0.31189034389754144, 0.4553326352258771], "edgecolor": "black", "center": [0, 0], "size": [33.38569666445442, 20.821770464253515]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_11.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_11.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_11.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_11.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_11.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_11.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_11.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_11.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_11.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_11.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_11.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_11.png", "instructions": [["rotate", 30], ["translate", [-30, 10]], ["scale", 0.5], ["translate", [-10, 30]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the ellipse to the left by a significant amount and slightly upward. <shapeB_step_1>\n- Reduce the size of the ellipse, making it smaller. <shapeB_step_2>\n- Shift the ellipse a little to the left and significantly upward. <shapeB_step_3>\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": "D"}
|
||
easy_no_12
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_0>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>
- Rotate the hexagon by -60 degrees clockwise around its center. <shapeB_step_2>
- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_3>
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], ['rotate', -60], ['rotate', 30]]
|
easy
|
{"instance_id": 12, "shape_A": {"name": "pentagon", "facecolor": [0.7018106386235163, 0.08242781192464588, 0.5365648160700154], "edgecolor": "black", "center": [0, 0], "size": 33.17147123676628}, "shape_B": {"name": "hexagon", "facecolor": [0.628570696060576, 0.5010489655070751, 0.4154319943754019], "edgecolor": "black", "center": [0, 0], "size": 31.953657514841748}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_12.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_12.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_12.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_12.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_12.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_12.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_12.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_12.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_12.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_12.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_12.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_12.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_12.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_12.png", "instructions": [["rotate", -90], ["scale", 0.5], ["rotate", -60], ["rotate", 30]], "correct_answer": {"easy": "A", "medium": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n- Rotate the hexagon by -60 degrees clockwise around its center. <shapeB_step_2>\n- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_3>\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"}
|
||
easy_no_13
|
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 upward. <shapeB_step_1>
- Reduce the size of the triangle, making it smaller. <shapeB_step_2>
- Increase the size of the triangle, making it larger. <shapeB_step_3>
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]], ['scale', 0.5], ['scale', 2.0]]
|
easy
|
{"instance_id": 13, "shape_A": {"name": "circle", "facecolor": [0.5940305440520949, 0.6136447257788938, 0.4827367864884782], "edgecolor": "black", "center": [0, 0], "size": 31.804144606136365}, "shape_B": {"name": "triangle", "facecolor": [0.20555047671793714, 0.18998425758838544, 0.6971967038073571], "edgecolor": "black", "center": [0, 0], "size": 33.00107764006884}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_13.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_13.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_13.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_13.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_13.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_13.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_13.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_13.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_13.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_13.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_13.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_13.png", "instructions": [["translate", [30, 10]], ["translate", [0, 10]], ["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "C", "medium": "D", "hard": "A"}, "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 upward. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\n- Increase the size of the triangle, making it larger. <shapeB_step_3>\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": "A"}
|
||
easy_no_14
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_0>
- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_1>
- Shift the triangle a little to the left. <shapeB_step_2>
- Reduce the size of the triangle, making it smaller. <shapeB_step_3>
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', -30], ['translate', [-10, 0]], ['scale', 0.5]]
|
easy
|
{"instance_id": 14, "shape_A": {"name": "square", "facecolor": [0.03746567049771343, 0.2754141420347538, 0.14385267062667373], "edgecolor": "black", "center": [0, 0], "size": 34.34450012549599}, "shape_B": {"name": "triangle", "facecolor": [0.8895742139142575, 0.3314940757342707, 0.23757929391630717], "edgecolor": "black", "center": [0, 0], "size": 32.215553066657144}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_14.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_14.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_14.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_14.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_14.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_14.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_14.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_14.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_14.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_14.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_14.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_14.png", "instructions": [["rotate", -30], ["rotate", -30], ["translate", [-10, 0]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_1>\n- Shift the triangle a little to the left. <shapeB_step_2>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_3>\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"}
|
||
easy_no_15
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left and slightly downward. <shapeB_step_0>
- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_2>
- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_3>
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]], ['flip', 'horizontal'], ['rotate', -60], ['rotate', -30]]
|
easy
|
{"instance_id": 15, "shape_A": {"name": "ellipse", "facecolor": [0.3716824297648611, 0.5855706952069037, 0.46376062818775987], "edgecolor": "black", "center": [0, 0], "size": [34.35424573176502, 20.753892255476313]}, "shape_B": {"name": "triangle", "facecolor": [0.8714322321644817, 0.42047256818481105, 0.8868435496935034], "edgecolor": "black", "center": [0, 0], "size": 32.0655362700694}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_15.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_15.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_15.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_15.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_15.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_15.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_15.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_15.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_15.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_15.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_15.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_15.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_15.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_15.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_15.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_15.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_15.png", "instructions": [["translate", [-10, -10]], ["flip", "horizontal"], ["rotate", -60], ["rotate", -30]], "correct_answer": {"easy": "C", "medium": "B", "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 slightly downward. <shapeB_step_0>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_2>\n- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_3>\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"}
|
||
easy_no_17
|
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Reduce the size of the ellipse, making it smaller. <shapeB_step_0>
- Shift the ellipse a little to the left and slightly upward. <shapeB_step_1>
- Increase the size of the ellipse, making it larger. <shapeB_step_2>
- Shift the ellipse to the right by a significant amount and slightly downward. <shapeB_step_3>
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
|
[['scale', 0.5], ['translate', [-10, 10]], ['scale', 2.0], ['translate', [30, -10]]]
|
easy
|
{"instance_id": 17, "shape_A": {"name": "hexagon", "facecolor": [0.26697826944429437, 0.7855321925948217, 0.9835323936240042], "edgecolor": "black", "center": [0, 0], "size": 32.809424916835184}, "shape_B": {"name": "ellipse", "facecolor": [0.3808703135350846, 0.053064999507771216, 0.05660477429555666], "edgecolor": "black", "center": [0, 0], "size": [33.08054416880143, 23.377630067597796]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_17.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_17.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_17.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_17.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_17.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_17.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_17.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_17.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_17.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_17.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_17.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_17.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_17.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_17.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_17.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_17.png", "instructions": [["scale", 0.5], ["translate", [-10, 10]], ["scale", 2.0], ["translate", [30, -10]]], "correct_answer": {"easy": "C", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the ellipse, making it smaller. <shapeB_step_0>\n- Shift the ellipse a little to the left and slightly upward. <shapeB_step_1>\n- Increase the size of the ellipse, making it larger. <shapeB_step_2>\n- Shift the ellipse to the right by a significant amount and slightly downward. <shapeB_step_3>\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": "A"}
|
||
easy_no_18
|
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>
- Flip the hexagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>
- Shift the hexagon to the left by a significant amount and slightly upward. <shapeB_step_3>
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]], ['flip', 'horizontal'], ['scale', 0.5], ['translate', [-30, 10]]]
|
easy
|
{"instance_id": 18, "shape_A": {"name": "pentagon", "facecolor": [0.437676149468225, 0.39511325822861765, 0.6607231649072405], "edgecolor": "black", "center": [0, 0], "size": 33.386445227525314}, "shape_B": {"name": "hexagon", "facecolor": [0.3013507098448711, 0.08650522143779271, 0.7652742410204625], "edgecolor": "black", "center": [0, 0], "size": 30.720377687292416}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_18.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_18.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_18.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_18.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_18.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_18.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_18.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_18.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_18.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_18.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_18.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_18.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_18.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_18.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_18.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_18.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_18.png", "instructions": [["translate", [-10, 30]], ["flip", "horizontal"], ["scale", 0.5], ["translate", [-30, 10]]], "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 - Shift the hexagon a little to the left and significantly upward. <shapeB_step_0>\n- Flip the hexagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\n- Shift the hexagon to the left by a significant amount and slightly upward. <shapeB_step_3>\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"}
|
||
easy_no_19
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the right by a significant amount. <shapeB_step_0>
- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_2>
- Shift the triangle significantly upward. <shapeB_step_3>
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]], ['rotate', 60], ['rotate', 30], ['translate', [0, 30]]]
|
easy
|
{"instance_id": 19, "shape_A": {"name": "square", "facecolor": [0.5298165189397056, 0.22948625637905018, 0.8023001960078138], "edgecolor": "black", "center": [0, 0], "size": 33.94711241152562}, "shape_B": {"name": "triangle", "facecolor": [0.741394042282245, 0.7615392270474919, 0.6967076031574667], "edgecolor": "black", "center": [0, 0], "size": 30.035970262252906}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_19.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_19.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_19.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_19.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_19.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_19.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_19.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_19.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_19.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_19.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_19.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_19.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_19.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_19.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_19.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_19.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_19.png", "instructions": [["translate", [30, 0]], ["rotate", 60], ["rotate", 30], ["translate", [0, 30]]], "correct_answer": {"easy": "D", "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. <shapeB_step_0>\n- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_2>\n- Shift the triangle significantly upward. <shapeB_step_3>\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": "B"}
|
||
easy_no_20
|
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Reduce the size of the ellipse, making it smaller. <shapeB_step_0>
- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_2>
- Shift the ellipse to the left by a significant amount and significantly downward. <shapeB_step_3>
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
|
[['scale', 0.5], ['rotate', 30], ['rotate', 60], ['translate', [-30, -30]]]
|
easy
|
{"instance_id": 20, "shape_A": {"name": "square", "facecolor": [0.5407679455918271, 0.5024752121216726, 0.3937169228523979], "edgecolor": "black", "center": [0, 0], "size": 31.829620755609632}, "shape_B": {"name": "ellipse", "facecolor": [0.011819978610448922, 0.21075238570144772, 0.5810082189794468], "edgecolor": "black", "center": [0, 0], "size": [31.86154813934408, 24.2716304362041]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_20.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_20.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_20.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_20.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_20.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_20.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_20.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_20.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_20.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_20.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_20.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_20.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_20.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_20.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_20.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_20.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_20.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_20.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_20.png", "instructions": [["scale", 0.5], ["rotate", 30], ["rotate", 60], ["translate", [-30, -30]]], "correct_answer": {"easy": "C", "medium": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the ellipse, making it smaller. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_2>\n- Shift the ellipse to the left by a significant amount and significantly downward. <shapeB_step_3>\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"}
|
||
easy_no_21
|
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>
- Shift the rectangle slightly upward. <shapeB_step_1>
- Rotate the rectangle by -30 degrees clockwise around its center. <shapeB_step_2>
- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_3>
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', [0, 10]], ['rotate', -30], ['translate', [30, -10]]]
|
easy
|
{"instance_id": 21, "shape_A": {"name": "hexagon", "facecolor": [0.8828240193732261, 0.16680931890354744, 0.1803965386000682], "edgecolor": "black", "center": [0, 0], "size": 33.82092183952186}, "shape_B": {"name": "rectangle", "facecolor": [0.625325053539152, 0.17889789162891712, 0.7491943579773724], "edgecolor": "black", "center": [0, 0], "size": [31.76162037635166, 21.575774980711987]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_21.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_21.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_21.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_21.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_21.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_21.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_21.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_21.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_21.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_21.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_21.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_21.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_21.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_21.png", "instructions": [["translate", [10, 30]], ["translate", [0, 10]], ["rotate", -30], ["translate", [30, -10]]], "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 right and significantly upward. <shapeB_step_0>\n- Shift the rectangle slightly upward. <shapeB_step_1>\n- Rotate the rectangle by -30 degrees clockwise around its center. <shapeB_step_2>\n- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_3>\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"}
|
||
easy_no_22
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_0>
- Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_1>
- Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_2>
- Shift the hexagon to the right by a significant amount and slightly upward. <shapeB_step_3>
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], ['rotate', -90], ['translate', [-30, 30]], ['translate', [30, 10]]]
|
easy
|
{"instance_id": 22, "shape_A": {"name": "rectangle", "facecolor": [0.4135820524658307, 0.36526764443746096, 0.1904897415692982], "edgecolor": "black", "center": [0, 0], "size": [30.429072197987576, 23.697908150201215]}, "shape_B": {"name": "hexagon", "facecolor": [0.8027960243985809, 0.6231821562783306, 0.44046342406330663], "edgecolor": "black", "center": [0, 0], "size": 34.162223779415115}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_22.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_22.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_22.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_22.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_22.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_22.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_22.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_22.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_22.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_22.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_22.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_22.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_22.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_22.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_22.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_22.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_22.png", "instructions": [["rotate", -90], ["rotate", -90], ["translate", [-30, 30]], ["translate", [30, 10]]], "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 - Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_1>\n- Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_2>\n- Shift the hexagon to the right by a significant amount and slightly upward. <shapeB_step_3>\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"}
|
||
easy_no_24
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the hexagon by -60 degrees clockwise around its center. <shapeB_step_1>
- Shift the hexagon a little to the right and significantly downward. <shapeB_step_2>
- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_3>
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], ['rotate', -60], ['translate', [10, -30]], ['translate', [-30, -30]]]
|
easy
|
{"instance_id": 24, "shape_A": {"name": "square", "facecolor": [0.7943466597289164, 0.6795589275997141, 0.9185016225526726], "edgecolor": "black", "center": [0, 0], "size": 31.41104623174964}, "shape_B": {"name": "hexagon", "facecolor": [0.06241055853085875, 0.9010756950742388, 0.9678995166206904], "edgecolor": "black", "center": [0, 0], "size": 32.03016327252854}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_24.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_24.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_24.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_24.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_24.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_24.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_24.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_24.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_24.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_24.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_24.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_24.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_24.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_24.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_24.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_24.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_24.png", "instructions": [["rotate", 60], ["rotate", -60], ["translate", [10, -30]], ["translate", [-30, -30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by -60 degrees clockwise around its center. <shapeB_step_1>\n- Shift the hexagon a little to the right and significantly downward. <shapeB_step_2>\n- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_3>\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"}
|
||
easy_no_25
|
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>
- Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Rotate the square by -90 degrees clockwise around its center. <shapeB_step_2>
- Shift the square to the left by a significant amount and slightly upward. <shapeB_step_3>
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], ['rotate', 30], ['rotate', -90], ['translate', [-30, 10]]]
|
easy
|
{"instance_id": 25, "shape_A": {"name": "rectangle", "facecolor": [0.5941385824725443, 0.8939669641514058, 0.21682471745080467], "edgecolor": "black", "center": [0, 0], "size": [30.378570878460277, 22.26721882532147]}, "shape_B": {"name": "square", "facecolor": [0.03404176252857194, 0.619397223680774, 0.05688191159446132], "edgecolor": "black", "center": [0, 0], "size": 33.30238923192702}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_25.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_25.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_25.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_25.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_25.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_25.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_25.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_25.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_25.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_25.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_25.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_25.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_25.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_25.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_25.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_25.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_25.png", "instructions": [["rotate", -90], ["rotate", 30], ["rotate", -90], ["translate", [-30, 10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "C"}, "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- Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the square by -90 degrees clockwise around its center. <shapeB_step_2>\n- Shift the square to the left by a significant amount and slightly upward. <shapeB_step_3>\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": "C"}
|
||
easy_no_27
|
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Reduce the size of the square, making it smaller. <shapeB_step_0>
- Increase the size of the square, making it larger. <shapeB_step_1>
- Rotate the square by 90 degrees counter-clockwise around its center. <shapeB_step_2>
- Shift the square a little to the right and significantly downward. <shapeB_step_3>
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], ['rotate', 90], ['translate', [10, -30]]]
|
easy
|
{"instance_id": 27, "shape_A": {"name": "pentagon", "facecolor": [0.5737275828934292, 0.1470834746925247, 0.5652315149347765], "edgecolor": "black", "center": [0, 0], "size": 32.008149609622436}, "shape_B": {"name": "square", "facecolor": [0.9204339759418756, 0.4045623312225112, 0.49941691583781067], "edgecolor": "black", "center": [0, 0], "size": 32.210527671079504}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_27.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_27.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_27.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_27.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_27.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_27.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_27.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_27.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_27.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_27.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_27.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_27.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_27.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_27.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_27.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_27.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_27.png", "instructions": [["scale", 0.5], ["scale", 2.0], ["rotate", 90], ["translate", [10, -30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Increase the size of the square, making it larger. <shapeB_step_1>\n- Rotate the square by 90 degrees counter-clockwise around its center. <shapeB_step_2>\n- Shift the square a little to the right and significantly downward. <shapeB_step_3>\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": "B"}
|
||
easy_no_29
|
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the ellipse to the right by a significant amount and slightly upward. <shapeB_step_2>
- Rotate the ellipse by 90 degrees counter-clockwise around its center. <shapeB_step_3>
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', 30], ['translate', [30, 10]], ['rotate', 90]]
|
easy
|
{"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.25365688282655174, 0.6196578769455676, 0.30250735564175146], "edgecolor": "black", "center": [0, 0], "size": [30.220810807441048, 20.639357473671833]}, "shape_B": {"name": "ellipse", "facecolor": [0.5595603886330499, 0.580486909891458, 0.26029165215690797], "edgecolor": "black", "center": [0, 0], "size": [34.17402018908414, 23.73911683859647]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_29.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_29.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_29.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_29.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_29.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_29.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_29.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_29.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_29.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_29.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_29.png", "instructions": [["rotate", 30], ["rotate", 30], ["translate", [30, 10]], ["rotate", 90]], "correct_answer": {"easy": "A", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse to the right by a significant amount and slightly upward. <shapeB_step_2>\n- Rotate the ellipse by 90 degrees counter-clockwise around its center. <shapeB_step_3>\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"}
|
||
easy_no_30
|
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon a little to the left and significantly downward. <shapeB_step_0>
- Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_1>
- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_2>
- Shift the hexagon a little to the right. <shapeB_step_3>
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', [30, -30]], ['rotate', 30], ['translate', [10, 0]]]
|
easy
|
{"instance_id": 30, "shape_A": {"name": "square", "facecolor": [0.2240956387398041, 0.25782214100407674, 0.3403242139882281], "edgecolor": "black", "center": [0, 0], "size": 33.910781288831956}, "shape_B": {"name": "hexagon", "facecolor": [0.9266320984532515, 0.4378267064615107, 0.4571356398064427], "edgecolor": "black", "center": [0, 0], "size": 34.35434737076559}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_30.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_30.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_30.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_30.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_30.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_30.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_30.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_30.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_30.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_30.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_30.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_30.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_30.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_30.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_30.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_30.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_30.png", "instructions": [["translate", [-10, -30]], ["translate", [30, -30]], ["rotate", 30], ["translate", [10, 0]]], "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 a little to the left and significantly downward. <shapeB_step_0>\n- Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_1>\n- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_2>\n- Shift the hexagon a little to the right. <shapeB_step_3>\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"}
|
||
easy_no_31
|
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse to the right by a significant amount and slightly upward. <shapeB_step_0>
- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_1>
- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
- Rotate the ellipse by -60 degrees clockwise around its center. <shapeB_step_3>
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', 'vertical'], ['flip', 'vertical'], ['rotate', -60]]
|
easy
|
{"instance_id": 31, "shape_A": {"name": "pentagon", "facecolor": [0.18307713284436655, 0.7396603263079647, 0.0020857536966196744], "edgecolor": "black", "center": [0, 0], "size": 34.17229994088536}, "shape_B": {"name": "ellipse", "facecolor": [0.14286939160629952, 0.783792500120582, 0.421756968264662], "edgecolor": "black", "center": [0, 0], "size": [32.26187213883874, 21.68911623885294]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_31.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_31.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_31.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_31.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_31.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_31.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_31.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_31.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_31.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_31.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_31.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_31.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_31.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_31.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_31.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_31.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_31.png", "instructions": [["translate", [30, 10]], ["flip", "vertical"], ["flip", "vertical"], ["rotate", -60]], "correct_answer": {"easy": "C", "medium": "C", "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 slightly upward. <shapeB_step_0>\n- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n- Rotate the ellipse by -60 degrees clockwise around its center. <shapeB_step_3>\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": "A"}
|
||
easy_no_32
|
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the right. <shapeB_step_0>
- Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_1>
- Shift the rectangle a little to the left and significantly downward. <shapeB_step_2>
- Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_3>
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]], ['flip', 'vertical'], ['translate', [-10, -30]], ['rotate', 90]]
|
easy
|
{"instance_id": 32, "shape_A": {"name": "hexagon", "facecolor": [0.21275413472323979, 0.8406841941947372, 0.2813112888148779], "edgecolor": "black", "center": [0, 0], "size": 32.5241012482873}, "shape_B": {"name": "rectangle", "facecolor": [0.6530588490671053, 0.1673816740553299, 0.06017503092815579], "edgecolor": "black", "center": [0, 0], "size": [34.15249053909072, 23.625368906426395]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_32.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_32.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_32.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_32.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_32.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_32.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_32.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_32.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_32.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_32.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_32.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_32.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_32.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_32.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_32.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_32.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_32.png", "instructions": [["translate", [10, 0]], ["flip", "vertical"], ["translate", [-10, -30]], ["rotate", 90]], "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 a little to the right. <shapeB_step_0>\n- Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n- Shift the rectangle a little to the left and significantly downward. <shapeB_step_2>\n- Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_3>\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"}
|
||
easy_no_34
|
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. <shapeB_step_1>
- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_3>
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, 0]], ['flip', 'horizontal'], ['flip', 'vertical']]
|
easy
|
{"instance_id": 34, "shape_A": {"name": "ellipse", "facecolor": [0.8839670321913443, 0.31796697510794936, 0.8515542124686434], "edgecolor": "black", "center": [0, 0], "size": [34.48389713183255, 21.54424314336465]}, "shape_B": {"name": "circle", "facecolor": [0.9905312875078909, 0.8504650337189813, 0.17145911046818008], "edgecolor": "black", "center": [0, 0], "size": 31.162127386906}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_34.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_34.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_34.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_34.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_34.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_34.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_34.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_34.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_34.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_34.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_34.png", "instructions": [["rotate", -60], ["translate", [10, 0]], ["flip", "horizontal"], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "A", "hard": "C"}, "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. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_3>\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": "C"}
|
||
easy_no_36
|
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>
- Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the circle a little to the left and slightly downward. <shapeB_step_2>
- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_3>
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], ['rotate', 90], ['translate', [-10, -10]], ['flip', 'horizontal']]
|
easy
|
{"instance_id": 36, "shape_A": {"name": "hexagon", "facecolor": [0.1252364374655578, 0.325228974696236, 0.713768146253232], "edgecolor": "black", "center": [0, 0], "size": 32.69490892863829}, "shape_B": {"name": "circle", "facecolor": [0.11662763418731825, 0.12205156303359888, 0.6414093276023284], "edgecolor": "black", "center": [0, 0], "size": 33.50370954795727}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_36.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_36.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_36.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_36.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_36.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_36.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_36.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_36.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_36.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_36.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_36.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_36.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_36.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_36.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_36.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_36.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_36.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_36.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_36.png", "instructions": [["rotate", -90], ["rotate", 90], ["translate", [-10, -10]], ["flip", "horizontal"]], "correct_answer": {"easy": "B", "medium": "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- Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_2>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_3>\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"}
|
||
easy_no_37
|
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse to the left by a significant amount. <shapeB_step_0>
- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_1>
- Rotate the ellipse by 90 degrees counter-clockwise around its center. <shapeB_step_2>
- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_3>
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]], ['rotate', 60], ['rotate', 90], ['flip', 'vertical']]
|
easy
|
{"instance_id": 37, "shape_A": {"name": "triangle", "facecolor": [0.44576980118081444, 0.0986374100661247, 0.9418180029584394], "edgecolor": "black", "center": [0, 0], "size": 31.73669766243223}, "shape_B": {"name": "ellipse", "facecolor": [0.6190103690542129, 0.30147641692571825, 0.4741985201064095], "edgecolor": "black", "center": [0, 0], "size": [31.83006012620338, 23.14932319213919]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_37.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_37.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_37.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_37.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_37.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_37.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_37.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_37.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_37.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_37.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_37.png", "instructions": [["translate", [-30, 0]], ["rotate", 60], ["rotate", 90], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the left by a significant amount. <shapeB_step_0>\n- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the ellipse by 90 degrees counter-clockwise around its center. <shapeB_step_2>\n- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_3>\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": "D"}
|
||
easy_no_39
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the triangle, making it smaller. <shapeB_step_0>
- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_1>
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_2>
- Increase the size of the triangle, making it larger. <shapeB_step_3>
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
|
[['scale', 0.5], ['rotate', -60], ['rotate', 30], ['scale', 2.0]]
|
easy
|
{"instance_id": 39, "shape_A": {"name": "ellipse", "facecolor": [0.4408276778961141, 0.5124792519572052, 0.6246319111588966], "edgecolor": "black", "center": [0, 0], "size": [32.80400201707866, 20.77281116891875]}, "shape_B": {"name": "triangle", "facecolor": [0.4090332303717803, 0.61968350348726, 0.6805847818328755], "edgecolor": "black", "center": [0, 0], "size": 33.49872648050022}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_39.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_39.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_39.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_39.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_39.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_39.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_39.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_39.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_39.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_39.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_39.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_39.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_39.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_39.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_39.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_39.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_39.png", "instructions": [["scale", 0.5], ["rotate", -60], ["rotate", 30], ["scale", 2.0]], "correct_answer": {"easy": "C", "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- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_2>\n- Increase the size of the triangle, making it larger. <shapeB_step_3>\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"}
|
||
easy_no_40
|
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>
- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Rotate the circle by -30 degrees clockwise around its center. <shapeB_step_2>
- Rotate the circle by -60 degrees clockwise around its center. <shapeB_step_3>
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]], ['rotate', 30], ['rotate', -30], ['rotate', -60]]
|
easy
|
{"instance_id": 40, "shape_A": {"name": "triangle", "facecolor": [0.10367530209127751, 0.749943679211488, 0.6238256910981901], "edgecolor": "black", "center": [0, 0], "size": 33.96875608392169}, "shape_B": {"name": "circle", "facecolor": [0.7020926223723328, 0.9379015335823266, 0.9058827672675048], "edgecolor": "black", "center": [0, 0], "size": 30.572505526079247}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_40.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_40.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_40.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_40.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_40.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_40.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_40.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_40.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_40.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_40.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_40.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_40.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_40.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_40.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_40.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_40.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_40.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_40.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_40.png", "instructions": [["translate", [10, -30]], ["rotate", 30], ["rotate", -30], ["rotate", -60]], "correct_answer": {"easy": "D", "hard": "C"}, "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- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the circle by -30 degrees clockwise around its center. <shapeB_step_2>\n- Rotate the circle by -60 degrees clockwise around its center. <shapeB_step_3>\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": "C"}
|
||
easy_no_41
|
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon to the right by a significant amount. <shapeB_step_0>
- Shift the pentagon to the right by a significant amount and significantly upward. <shapeB_step_1>
- Shift the pentagon to the left by a significant amount and slightly downward. <shapeB_step_2>
- Shift the pentagon a little to the right and slightly upward. <shapeB_step_3>
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', [30, 30]], ['translate', [-30, -10]], ['translate', [10, 10]]]
|
easy
|
{"instance_id": 41, "shape_A": {"name": "circle", "facecolor": [0.7857276514438948, 0.3476331132419348, 0.2879925497312348], "edgecolor": "black", "center": [0, 0], "size": 31.31916094129002}, "shape_B": {"name": "pentagon", "facecolor": [0.4746006908112954, 0.3340541498424623, 0.17751505206801632], "edgecolor": "black", "center": [0, 0], "size": 31.237552146336743}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_41.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_41.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_41.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_41.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_41.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_41.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_41.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_41.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_41.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_41.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_41.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_41.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_41.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_41.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_41.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_41.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_41.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_41.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_41.png", "instructions": [["translate", [30, 0]], ["translate", [30, 30]], ["translate", [-30, -10]], ["translate", [10, 10]]], "correct_answer": {"easy": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the right by a significant amount. <shapeB_step_0>\n- Shift the pentagon to the right by a significant amount and significantly upward. <shapeB_step_1>\n- Shift the pentagon to the left by a significant amount and slightly downward. <shapeB_step_2>\n- Shift the pentagon a little to the right and slightly upward. <shapeB_step_3>\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", "hard": "C"}
|
||
easy_no_42
|
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_1>
- Reduce the size of the circle, making it smaller. <shapeB_step_2>
- Shift the circle a little to the left and slightly downward. <shapeB_step_3>
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], ['rotate', 60], ['scale', 0.5], ['translate', [-10, -10]]]
|
easy
|
{"instance_id": 42, "shape_A": {"name": "pentagon", "facecolor": [0.6112473569813892, 0.312239322060493, 0.6186449159432068], "edgecolor": "black", "center": [0, 0], "size": 31.002556284313695}, "shape_B": {"name": "circle", "facecolor": [0.1271923838733684, 0.5172468669580443, 0.10091300396567204], "edgecolor": "black", "center": [0, 0], "size": 32.729708094057365}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_42.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_42.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_42.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_42.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_42.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_42.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_42.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_42.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_42.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_42.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_42.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_42.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_42.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_42.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_42.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_42.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_42.png", "instructions": [["rotate", 30], ["rotate", 60], ["scale", 0.5], ["translate", [-10, -10]]], "correct_answer": {"easy": "D", "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 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Reduce the size of the circle, making it smaller. <shapeB_step_2>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_3>\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"}
|
||
easy_no_43
|
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>
- Reduce the size of the circle, making it smaller. <shapeB_step_1>
- Shift the circle a little to the left and significantly downward. <shapeB_step_2>
- Shift the circle significantly upward. <shapeB_step_3>
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]], ['scale', 0.5], ['translate', [-10, -30]], ['translate', [0, 30]]]
|
easy
|
{"instance_id": 43, "shape_A": {"name": "pentagon", "facecolor": [0.3362182969055971, 0.8281575657982347, 0.2625327394175804], "edgecolor": "black", "center": [0, 0], "size": 33.762003595274635}, "shape_B": {"name": "circle", "facecolor": [0.3004128473041865, 0.9650964743233718, 0.059720041447076766], "edgecolor": "black", "center": [0, 0], "size": 33.76659183170492}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_43.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_43.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_43.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_43.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_43.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_43.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_43.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_43.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_43.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_43.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_43.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_43.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_43.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_43.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_43.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_43.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_43.png", "instructions": [["translate", [-30, 10]], ["scale", 0.5], ["translate", [-10, -30]], ["translate", [0, 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 to the left by a significant amount and slightly upward. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Shift the circle a little to the left and significantly downward. <shapeB_step_2>\n- Shift the circle significantly upward. <shapeB_step_3>\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"}
|
||
easy_no_45
|
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. <shapeB_step_1>
- Shift the circle a little to the right and significantly downward. <shapeB_step_2>
- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_3>
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, 0]], ['translate', [10, -30]], ['flip', 'horizontal']]
|
easy
|
{"instance_id": 45, "shape_A": {"name": "triangle", "facecolor": [0.4112290843678891, 0.8090305435802903, 0.4251992806693875], "edgecolor": "black", "center": [0, 0], "size": 33.05375700182036}, "shape_B": {"name": "circle", "facecolor": [0.6872219311808052, 0.028962547264473337, 0.26792386552309544], "edgecolor": "black", "center": [0, 0], "size": 32.68006549053642}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_45.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_45.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_45.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_45.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_45.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_45.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_45.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_45.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_45.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_45.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_45.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_45.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_45.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_45.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_45.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_45.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_45.png", "instructions": [["scale", 0.5], ["translate", [-30, 0]], ["translate", [10, -30]], ["flip", "horizontal"]], "correct_answer": {"easy": "A", "medium": "D", "hard": "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 left by a significant amount. <shapeB_step_1>\n- Shift the circle a little to the right and significantly downward. <shapeB_step_2>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_3>\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": "C"}
|
||
easy_no_46
|
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 significantly upward. <shapeB_step_1>
- Shift the hexagon a little to the left. <shapeB_step_2>
- Shift the hexagon to the right by a significant amount and slightly downward. <shapeB_step_3>
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', [0, 30]], ['translate', [-10, 0]], ['translate', [30, -10]]]
|
easy
|
{"instance_id": 46, "shape_A": {"name": "square", "facecolor": [0.637478155721656, 0.06232547249076181, 0.09747546060301582], "edgecolor": "black", "center": [0, 0], "size": 33.34820587417049}, "shape_B": {"name": "hexagon", "facecolor": [0.9057247488667836, 0.5868474894921148, 0.9443009746540827], "edgecolor": "black", "center": [0, 0], "size": 32.21699435429679}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_46.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_46.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_46.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_46.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_46.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_46.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_46.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_46.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_46.png", "instructions": [["rotate", -30], ["translate", [0, 30]], ["translate", [-10, 0]], ["translate", [30, -10]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "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 significantly upward. <shapeB_step_1>\n- Shift the hexagon a little to the left. <shapeB_step_2>\n- Shift the hexagon to the right by a significant amount and slightly downward. <shapeB_step_3>\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"}
|
||
easy_no_48
|
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left and slightly upward. <shapeB_step_0>
- Shift the triangle to the right by a significant amount and significantly downward. <shapeB_step_1>
- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
- Shift the triangle significantly upward. <shapeB_step_3>
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', [30, -30]], ['flip', 'horizontal'], ['translate', [0, 30]]]
|
easy
|
{"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.4071688696842949, 0.2707432023629929, 0.6311281932632019], "edgecolor": "black", "center": [0, 0], "size": [33.78306112981204, 20.910901408179864]}, "shape_B": {"name": "triangle", "facecolor": [0.7555430490989568, 0.9922376871145898, 0.2517477777194995], "edgecolor": "black", "center": [0, 0], "size": 30.557350291953572}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_48.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_48.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_48.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_48.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_48.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_48.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_48.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_48.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_48.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_48.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_48.png", "instructions": [["translate", [-10, 10]], ["translate", [30, -30]], ["flip", "horizontal"], ["translate", [0, 30]]], "correct_answer": {"easy": "C", "medium": "B", "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 left and slightly upward. <shapeB_step_0>\n- Shift the triangle to the right by a significant amount and significantly downward. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n- Shift the triangle significantly upward. <shapeB_step_3>\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"}
|
||
easy_no_56
|
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>
- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
- Shift the triangle a little to the left and significantly downward. <shapeB_step_3>
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'], ['flip', 'horizontal'], ['translate', [-10, -30]]]
|
easy
|
{"instance_id": 56, "shape_A": {"name": "hexagon", "facecolor": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783], "edgecolor": "black", "center": [0, 0], "size": 32.54417513685558}, "shape_B": {"name": "triangle", "facecolor": [0.468926302758369, 0.9565237556255114, 0.577043455530469], "edgecolor": "black", "center": [0, 0], "size": 30.111125984559706}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_56.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_56.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_56.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_56.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_56.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_56.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_56.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_56.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_56.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_56.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_56.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_56.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_56.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_56.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_56.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_56.png", "instructions": [["translate", [-10, -30]], ["flip", "horizontal"], ["flip", "horizontal"], ["translate", [-10, -30]]], "correct_answer": {"easy": "A", "medium": "C", "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- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n- Shift the triangle a little to the left and significantly downward. <shapeB_step_3>\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": "A"}
|
||
easy_no_58
|
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>
- Rotate the square by 90 degrees counter-clockwise around its center. <shapeB_step_1>
- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
- Shift the square slightly upward. <shapeB_step_3>
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', 90], ['flip', 'horizontal'], ['translate', [0, 10]]]
|
easy
|
{"instance_id": 58, "shape_A": {"name": "hexagon", "facecolor": [0.9247138929166969, 0.6315702598644986, 0.02978910759226061], "edgecolor": "black", "center": [0, 0], "size": 33.48677344869452}, "shape_B": {"name": "square", "facecolor": [0.25027591530468496, 0.01822754674345195, 0.9138798685397354], "edgecolor": "black", "center": [0, 0], "size": 33.87931085421925}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_58.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_58.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_58.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_58.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_58.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_58.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_58.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_58.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_58.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_58.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_58.png", "instructions": [["translate", [-30, -10]], ["rotate", 90], ["flip", "horizontal"], ["translate", [0, 10]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "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- Rotate the square by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n- Shift the square slightly upward. <shapeB_step_3>\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"}
|
||
easy_no_59
|
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the left and slightly upward. <shapeB_step_0>
- Reduce the size of the ellipse, making it smaller. <shapeB_step_1>
- Shift the ellipse slightly upward. <shapeB_step_2>
- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_3>
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]], ['scale', 0.5], ['translate', [0, 10]], ['flip', 'vertical']]
|
easy
|
{"instance_id": 59, "shape_A": {"name": "pentagon", "facecolor": [0.7696865316768913, 0.4197261599298645, 0.3412962555994131], "edgecolor": "black", "center": [0, 0], "size": 32.00976836196468}, "shape_B": {"name": "ellipse", "facecolor": [0.18294724544524643, 0.49703669531234906, 0.528327792908034], "edgecolor": "black", "center": [0, 0], "size": [33.48013467358773, 21.359707809470308]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_59.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_59.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_59.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_59.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_59.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_59.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_59.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_59.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_59.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_59.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_59.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_59.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_59.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_59.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_59.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_59.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_59.png", "instructions": [["translate", [-10, 10]], ["scale", 0.5], ["translate", [0, 10]], ["flip", "vertical"]], "correct_answer": {"easy": "C", "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 upward. <shapeB_step_0>\n- Reduce the size of the ellipse, making it smaller. <shapeB_step_1>\n- Shift the ellipse slightly upward. <shapeB_step_2>\n- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_3>\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"}
|
||
easy_no_60
|
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>
- Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the rectangle a little to the right and significantly downward. <shapeB_step_2>
- Shift the rectangle a little to the left and significantly downward. <shapeB_step_3>
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], ['rotate', 30], ['translate', [10, -30]], ['translate', [-10, -30]]]
|
easy
|
{"instance_id": 60, "shape_A": {"name": "pentagon", "facecolor": [0.6451860790662107, 0.6669789681624753, 0.3074965954396218], "edgecolor": "black", "center": [0, 0], "size": 30.520464454203285}, "shape_B": {"name": "rectangle", "facecolor": [0.1938562048829191, 0.7181813997317316, 0.18768400347472203], "edgecolor": "black", "center": [0, 0], "size": [34.397230573736124, 23.782397274560896]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_60.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_60.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_60.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_60.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_60.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_60.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_60.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_60.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_60.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_60.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_60.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_60.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_60.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_60.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_60.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_60.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_60.png", "instructions": [["rotate", 30], ["rotate", 30], ["translate", [10, -30]], ["translate", [-10, -30]]], "correct_answer": {"easy": "B", "medium": "C", "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- Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the rectangle a little to the right and significantly downward. <shapeB_step_2>\n- Shift the rectangle a little to the left and significantly downward. <shapeB_step_3>\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"}
|
||
easy_no_61
|
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>
- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_3>
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]], ['flip', 'vertical'], ['scale', 0.5]]
|
easy
|
{"instance_id": 61, "shape_A": {"name": "ellipse", "facecolor": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219], "edgecolor": "black", "center": [0, 0], "size": [32.86020752447745, 22.42693061479845]}, "shape_B": {"name": "hexagon", "facecolor": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155], "edgecolor": "black", "center": [0, 0], "size": 34.23715857734047}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_61.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <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_visual_analogy_4_steps/composed_transformation_B_no_61.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_61.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_61.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_61.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_61.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_61.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_61.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_61.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_61.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_61.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_61.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_61.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_61.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_61.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_61.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_61.png", "instructions": [["translate", [30, 0]], ["translate", [-10, -10]], ["flip", "vertical"], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "B", "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. <shapeB_step_0>\n- Shift the hexagon a little to the left and slightly downward. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_3>\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": "B"}
|
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