Datasets:
VisSim
/
2d_text_instruct_test_v2

Dataset card Data Studio Files Community
1
qid
stringlengths
16
20
question
stringlengths
330
565
choices
imagewidth (px)
2.36k
2.36k
images
images listlengths
1
1
answer
stringclasses
4 values
transformations
stringlengths
16
81
difficulty_level
stringclasses
3 values
question_info
stringlengths
3.42k
7.2k
answer_info
stringlengths
13
41
1steps_easy_no_14
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-30, 10]]]
easy
{"instance_id": 14, "shape_A": {"name": "pentagon", "facecolor": [0.15195705577066454, 0.18793360223450828, 0.13154588032324976], "edgecolor": "black", "center": [7.105427357601002e-16, 7.105427357601002e-16], "size": [54.98937185158614, 57.819247236533926]}, "shape_B": {"name": "triangle", "facecolor": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [54.433214714326624, 51.885324284799545]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_14.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_14.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_14.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [23.274, 30.588], "center": [-3.2880000000000003, -1.2399999999999995], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [-30.0, 10.0], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [45.900999999999996, 57.837], "center": [-6.331166666666667, 2.5834999999999995], "color": [0.20283357618582687, 0.2045621057311916, 0.17707820182370537]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [7.9965, 2.5719999999999996], "color": [0.9501980424899162, 0.22255421237920714, 0.6713390871006505]}], "medium": [{"name": "triangle", "size": [46.548, 61.175], "center": [-6.5760000000000005, -2.479833333333334], "color": [0.25008229407723825, 0.6917174283309014, 0.9071624630054067]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [7.9965, 2.5719999999999996], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [27.216, 25.942], "center": [3.9980000000000033, 1.2860000000000011], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [-30.0, 10.0], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}], "hard": [{"name": "triangle", "size": [67.748, 61.33], "center": [-2.4180000000000006, -7.925000000000001], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [7.9965, 2.5719999999999996], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [39.48000863097671, 51.88600000000001], "center": [-5.57747995096036, -2.1032878190982154], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [-30.0, 10.0], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [54.989, 57.81999999999999], "center": [-30.0002, 10.0], "color": [0.15195705577066454, 0.18793360223450828, 0.13154588032324976]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [54.43299999999999, 51.886], "center": [-30.0, 10.0], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_14.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_14.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_14.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_14.png", "instructions": [["translate", [-30, 10]]], "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 - Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "D", "hard": "D"}
1steps_easy_no_3
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the right and slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [10, -10]]]
easy
{"instance_id": 3, "shape_A": {"name": "ellipse", "facecolor": [0.7409690591184199, 0.971810318758019, 0.09175768305444532], "edgecolor": "black", "center": [-8.881784197001253e-17, 3.7192471324942745e-16], "size": [30.248812462164786, 20.407907637659566]}, "shape_B": {"name": "triangle", "facecolor": [0.1432514903420291, 0.6573446348367955, 0.06958542124833644], "edgecolor": "black", "center": [-2.3684757858670005e-15, 1.1842378929335002e-15], "size": [40.91991498992, 35.60218284524282]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_3.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_3.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_3.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_3.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_3.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_3.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_3.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_3.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [20.46, 17.801000000000002], "center": [-2.6283333333333334, 0.3595000000000006], "color": [0.1432514903420291, 0.6573446348367955, 0.06958542124833644]}, {"name": "triangle", "size": [53.239, 14.939], "center": [-4.1931666666666665, 0.9674999999999999], "color": [0.21123397922031228, 0.137234805257327, 0.2555195040214593]}, {"name": "triangle", "size": [40.92, 35.602000000000004], "center": [-5.256666666666667, 0.7189999999999989], "color": [0.3281223559378411, 0.0077299065693119395, 0.7470141234297678]}, {"name": "triangle", "size": [40.92, 35.602], "center": [10.000333333333334, -10.0], "color": [0.1432514903420291, 0.6573446348367955, 0.06958542124833644]}], "medium": [{"name": "triangle", "size": [23.554000000000002, 51.292], "center": [-1.953, -2.0056666666666665], "color": [0.1432514903420291, 0.6573446348367955, 0.06958542124833644]}, {"name": "triangle", "size": [23.624, 18.781], "center": [-2.5643333333333334, 0.23349999999999996], "color": [0.8013221543104522, 0.6181252633042402, 0.8320259130717071]}, {"name": "triangle", "size": [40.92, 35.602000000000004], "center": [-5.256666666666667, 0.7189999999999989], "color": [0.1432514903420291, 0.6573446348367955, 0.06958542124833644]}, {"name": "triangle", "size": [40.92, 35.602], "center": [10.000333333333334, -10.0], "color": [0.1432514903420291, 0.6573446348367955, 0.06958542124833644]}], "hard": [{"name": "triangle", "size": [40.92, 35.602], "center": [10.000333333333334, -10.0], "color": [0.1432514903420291, 0.6573446348367955, 0.06958542124833644]}, {"name": "triangle", "size": [51.292, 23.554000000000002], "center": [-2.0060000000000002, 1.9533333333333334], "color": [0.1432514903420291, 0.6573446348367955, 0.06958542124833644]}, {"name": "triangle", "size": [9.990200195349187, 35.602000000000004], "center": [-0.6469990420376414, -2.803996881926446], "color": [0.1432514903420291, 0.6573446348367955, 0.06958542124833644]}, {"name": "triangle", "size": [40.92, 35.602000000000004], "center": [-5.256666666666667, 0.7189999999999989], "color": [0.1432514903420291, 0.6573446348367955, 0.06958542124833644]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [30.247999999999998, 20.408], "center": [10.000000000000002, -10.0], "color": [0.7409690591184199, 0.971810318758019, 0.09175768305444532]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [40.92, 35.602], "center": [10.000333333333334, -10.0], "color": [0.1432514903420291, 0.6573446348367955, 0.06958542124833644]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_3.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_3.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_3.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_3.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_3.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_3.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_3.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_3.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_3.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_3.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_3.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_3.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_3.png", "instructions": [["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the right and slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "A"}
1steps_easy_no_94
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [0, -10]]]
easy
{"instance_id": 94, "shape_A": {"name": "pentagon", "facecolor": [0.24810764484723313, 0.41230148540455513, 0.29126769808795006], "edgecolor": "black", "center": [1.0658141036401502e-15, 0.0], "size": [54.626525422621214, 57.43772792327755]}, "shape_B": {"name": "square", "facecolor": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.226565151586435, 32.226565151586435]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_94.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_94.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_94.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_94.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_94.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_94.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_94.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [16.114, 16.114], "center": [0.0, 0.0], "color": [0.42574485230529013, 0.8788199716914603, 0.9475228690718258]}, {"name": "square", "size": [32.226, 32.226], "center": [0.0, -10.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}, {"name": "square", "size": [32.226, 32.226], "center": [0.0, 0.0], "color": [0.20119006081159474, 0.5739943079967187, 0.286535323460543]}, {"name": "square", "size": [44.022000000000006, 44.022000000000006], "center": [-1.7763568394002505e-15, -1.3322676295501878e-15], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}], "medium": [{"name": "square", "size": [44.022000000000006, 44.022000000000006], "center": [-1.7763568394002505e-15, 1.7763568394002505e-15], "color": [0.9263021714527396, 0.2586802391870068, 0.24684779335980211]}, {"name": "square", "size": [32.226, 32.226], "center": [0.0, 0.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}, {"name": "square", "size": [22.012, 22.012], "center": [8.881784197001252e-16, 0.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}, {"name": "square", "size": [32.226, 32.226], "center": [0.0, -10.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}], "hard": [{"name": "square", "size": [32.226, 32.226], "center": [0.0, -10.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}, {"name": "square", "size": [32.226, 32.226], "center": [0.0, 0.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}, {"name": "square", "size": [16.112000000000002, 16.112], "center": [0.0, -1.7763568394002505e-15], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}, {"name": "square", "size": [44.022000000000006, 44.022000000000006], "center": [1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [54.626999999999995, 57.438], "center": [-0.00020000000000024442, -10.0], "color": [0.24810764484723313, 0.41230148540455513, 0.29126769808795006]}], "tranformed_B_sequence_info": [{"name": "square", "size": [32.226, 32.226], "center": [0.0, -10.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_94.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_94.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_94.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_94.png", "instructions": [["translate", [0, -10]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "D", "hard": "A"}
1steps_easy_no_31
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Reduce the size of the ellipse, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['scale', 0.5]]
easy
{"instance_id": 31, "shape_A": {"name": "square", "facecolor": [0.27267940346189623, 0.407182791882279, 0.018718948826570547], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.94519756270956, 31.94519756270956]}, "shape_B": {"name": "ellipse", "facecolor": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085], "edgecolor": "black", "center": [7.105427357601002e-16, 5.551115123125783e-18], "size": [31.73183157379287, 22.22191531776557]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_31.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_31.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_31.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_31.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_31.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_31.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [24.895999999999994, 29.568], "center": [-1.0658141036401502e-15, 4.440892098500626e-16], "color": [0.30403273025023214, 0.7508575194726741, 0.4514991840310496]}, {"name": "ellipse", "size": [15.866, 11.11], "center": [1.554312234475219e-16, -7.216449660063518e-17], "color": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085]}, {"name": "ellipse", "size": [31.732, 22.222], "center": [0.0, -3.4416913763379854e-16], "color": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085]}, {"name": "ellipse", "size": [27.244, 40.404], "center": [5.551115123125783e-16, -1.7763568394002506e-16], "color": [0.08309199815654156, 0.7480108960335597, 0.5295917493789751]}], "medium": [{"name": "ellipse", "size": [38.56399999999999, 33.366], "center": [-4.440892098500626e-16, -1.3322676295501878e-15], "color": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085]}, {"name": "ellipse", "size": [31.732, 22.222], "center": [0.0, -3.774758283725532e-16], "color": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085]}, {"name": "ellipse", "size": [15.866, 11.11], "center": [1.554312234475219e-16, -7.216449660063518e-17], "color": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085]}, {"name": "ellipse", "size": [22.222, 31.732], "center": [-3.4416913763379854e-16, -7.549516567451064e-16], "color": [0.5676399293087019, 0.3047413637882831, 0.7130788373936887]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [15.972, 15.972], "center": [0.0, 0.0], "color": [0.27267940346189623, 0.407182791882279, 0.018718948826570547]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [15.866, 11.11], "center": [1.554312234475219e-16, -7.216449660063518e-17], "color": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_31.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_31.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_31.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C"}, "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\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"}
1steps_easy_no_28
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['scale', 0.5]]
easy
{"instance_id": 28, "shape_A": {"name": "circle", "facecolor": [0.27978384553228375, 0.203554935098061, 0.13713148863185454], "edgecolor": "black", "center": [-1.3322676295501878e-15, -2.842170943040401e-15], "size": [62.79092482138978, 62.79092482138978]}, "shape_B": {"name": "hexagon", "facecolor": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.84426796882791, 53.55870713945721]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_28.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_28.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_28.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_28.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_28.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_28.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [53.558, 61.843999999999994], "center": [0.0, 1.1842378929335002e-15], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}, {"name": "hexagon", "size": [30.922, 26.78], "center": [0.0, 0.0], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}, {"name": "hexagon", "size": [71.464, 72.00200000000001], "center": [0.0, 4.144832625267251e-15], "color": [0.7354144882589632, 0.05711859321144741, 0.10921020473013932]}, {"name": "hexagon", "size": [61.843999999999994, 53.55800000000001], "center": [1.4802973661668755e-15, 0.0], "color": [0.43407601018057973, 0.4275491891996016, 0.7292261341852432]}], "medium": [{"name": "hexagon", "size": [53.558, 61.844], "center": [0.0, 2.9605947323337506e-16], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}, {"name": "hexagon", "size": [61.843999999999994, 53.55800000000001], "center": [0.0, -1.1842378929335002e-15], "color": [0.45582117374849596, 0.7481882793634895, 0.1154169193884218]}, {"name": "hexagon", "size": [30.922, 26.78], "center": [0.0, 0.0], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}, {"name": "hexagon", "size": [82.82, 77.01], "center": [0.0, -1.1842378929335002e-15], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [31.396, 31.396], "center": [0.0, -1.4432899320127036e-16], "color": [0.27978384553228375, 0.203554935098061, 0.13713148863185454]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [30.922, 26.78], "center": [0.0, 0.0], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_28.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_28.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_28.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n\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"}
1steps_easy_no_17
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square a little to the right. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [10, 0]]]
easy
{"instance_id": 17, "shape_A": {"name": "rectangle", "facecolor": [0.2876890332785008, 0.17937230685268712, 0.9067931971538303], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.66478635278581, 20.087725402611497]}, "shape_B": {"name": "square", "facecolor": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.866011079867402, 31.866011079867402]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_17.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_17.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_17.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_17.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_17.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_17.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_17.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [43.53, 43.53], "center": [-2.220446049250313e-16, 0.0], "color": [0.8724431344584407, 0.8268219966068482, 0.6849671512833029]}, {"name": "square", "size": [31.866, 31.866], "center": [10.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [21.764, 21.764], "center": [1.1102230246251565e-16, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [31.866, 31.866], "center": [0.0, 0.0], "color": [0.0945086523798293, 0.7526285064752095, 0.5437123352483425]}], "medium": [{"name": "square", "size": [43.53, 43.53], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [31.866, 31.866], "center": [10.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [15.934, 15.934], "center": [8.881784197001252e-16, 0.0], "color": [0.30742832366633543, 0.2098410064743328, 0.9811095675722133]}, {"name": "square", "size": [31.866, 31.866], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}], "hard": [{"name": "square", "size": [31.866, 31.866], "center": [10.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [31.866, 31.866], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [15.933999999999997, 15.933999999999997], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [43.53, 43.53], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [33.664, 20.088], "center": [10.0, 0.0], "color": [0.2876890332785008, 0.17937230685268712, 0.9067931971538303]}], "tranformed_B_sequence_info": [{"name": "square", "size": [31.866, 31.866], "center": [10.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_17.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_17.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_17.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_17.png", "instructions": [["translate", [10, 0]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square a little to the right. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "A"}
1steps_easy_no_13
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the left by a significant amount. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [-30, 0]]]
easy
{"instance_id": 13, "shape_A": {"name": "square", "facecolor": [0.2761000438384478, 0.11964959201073866, 0.7891437801948885], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.95733122182607, 33.95733122182607]}, "shape_B": {"name": "circle", "facecolor": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606], "edgecolor": "black", "center": [-5.329070518200751e-16, 7.549516567451064e-16], "size": [67.01328140023003, 67.01328140023003]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_13.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_13.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [88.453, 80.62], "center": [0.0002250000000003638, 9.999999999763532e-05], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [107.638, 95.354], "center": [-0.00010000000000136567, 7.499999999911466e-05], "color": [0.7657340955098555, 0.15413151393114954, 0.28312908353358535]}, {"name": "circle", "size": [67.014, 67.014], "center": [-30.0, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [67.014, 67.014], "center": [5.329070518200751e-16, -3.3306690738754696e-16], "color": [0.8190497337839815, 0.18986945244721887, 0.6832241825576808]}], "medium": [{"name": "circle", "size": [82.006, 84.75200000000001], "center": [-3.4638958368304883e-15, 6.217248937900876e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [33.507999999999996, 33.507999999999996], "center": [-5.000000000041638e-05, 9.999999999998899e-05], "color": [0.02170137145759954, 0.8219399224471144, 0.689719183909427]}, {"name": "circle", "size": [67.014, 67.014], "center": [5.329070518200751e-16, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [67.014, 67.014], "center": [-30.0, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}], "hard": [{"name": "circle", "size": [40.094, 36.426], "center": [-8.881784197001252e-16, -5.329070518200751e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [67.014, 67.014], "center": [-30.0, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [24.656680259499534, 67.014], "center": [6.661338147750939e-16, 1.7763568394002505e-15], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [67.014, 67.014], "center": [5.329070518200751e-16, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [33.958, 33.958], "center": [-30.0, 0.0], "color": [0.2761000438384478, 0.11964959201073866, 0.7891437801948885]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.014, 67.014], "center": [-30.0, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_13.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_13.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_13.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_13.png", "instructions": [["translate", [-30, 0]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "B"}
1steps_easy_no_86
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the pentagon, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['scale', 0.5]]
easy
{"instance_id": 86, "shape_A": {"name": "ellipse", "facecolor": [0.21193755773409761, 0.4023612011936085, 0.44129610267434016], "edgecolor": "black", "center": [-2.6645352591003756e-16, 4.1078251911130794e-16], "size": [32.872764498596936, 23.402897358129188]}, "shape_B": {"name": "pentagon", "facecolor": [0.6570734287923392, 0.8813407874250305, 0.4260292431791408], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [63.12595920665509, 66.37456147460368]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_86.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_86.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_86.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_86.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_86.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_86.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [97.791, 39.489000000000004], "center": [-0.6777000000000009, -2.0783], "color": [0.0012694604725924652, 0.814922468538765, 0.5156249203815708]}, {"name": "pentagon", "size": [66.011, 64.924], "center": [-1.1271000000000015, -2.242], "color": [0.6570734287923392, 0.8813407874250305, 0.4260292431791408]}, {"name": "pentagon", "size": [31.563000000000002, 33.188], "center": [0.00039999999999995595, 0.0], "color": [0.6570734287923392, 0.8813407874250305, 0.4260292431791408]}, {"name": "pentagon", "size": [79.049, 87.013], "center": [3.9982999999999977, -1.1115000000000008], "color": [0.5438080461024035, 0.7146487810844383, 0.6615076616487853]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [16.436, 11.702], "center": [-8.881784197001253e-17, -4.163336342344337e-16], "color": [0.21193755773409761, 0.4023612011936085, 0.44129610267434016]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [31.563000000000002, 33.188], "center": [0.00039999999999995595, 0.0], "color": [0.6570734287923392, 0.8813407874250305, 0.4260292431791408]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_86.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_86.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "C"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the pentagon, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C"}
1steps_easy_no_111
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the right and slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [10, -10]]]
easy
{"instance_id": 111, "shape_A": {"name": "circle", "facecolor": [0.5517697015668681, 0.10111771275949544, 0.12431885882507754], "edgecolor": "black", "center": [-7.105427357601002e-16, 5.773159728050814e-16], "size": [60.701509191997644, 60.701509191997644]}, "shape_B": {"name": "triangle", "facecolor": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [24.5061384013678, 68.48050596942332]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_111.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_111.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_111.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_111.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_111.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_111.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_111.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [16.186999999999998, 34.29], "center": [-0.9944999999999998, 4.605333333333333], "color": [0.24490290500279122, 0.20556163583991882, 0.11408890665340066]}, {"name": "triangle", "size": [33.956, 59.47], "center": [3.656, 9.896], "color": [0.19031293880666522, 0.6851788539966367, 0.23036580896128744]}, {"name": "triangle", "size": [24.506, 68.48], "center": [9.999666666666668, -9.999999999999998], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}, {"name": "triangle", "size": [24.506, 68.47999999999999], "center": [-3.975333333333334, 6.741999999999997], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}], "medium": [{"name": "triangle", "size": [12.253000000000004, 34.24], "center": [-1.987833333333331, 3.371], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}, {"name": "triangle", "size": [24.506, 68.47999999999999], "center": [-3.975333333333334, 6.741999999999997], "color": [0.14388043289222519, 0.09650036238993531, 0.1825118573615362]}, {"name": "triangle", "size": [31.826, 86.547], "center": [-1.1379999999999992, 9.2545], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}, {"name": "triangle", "size": [24.506, 68.48], "center": [9.999666666666668, -9.999999999999998], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}], "hard": [{"name": "triangle", "size": [24.506, 68.47999999999999], "center": [-3.975333333333334, 6.741999999999997], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}, {"name": "triangle", "size": [68.48, 24.506], "center": [6.742, 3.975333333333334], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}, {"name": "triangle", "size": [24.506, 68.48], "center": [9.999666666666668, -9.999999999999998], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}, {"name": "triangle", "size": [24.506, 13.99236145955944], "center": [-4.077877518076342, 1.5065400369934416], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [60.702, 60.702], "center": [10.0, -10.0], "color": [0.5517697015668681, 0.10111771275949544, 0.12431885882507754]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [24.506, 68.48], "center": [9.999666666666668, -9.999999999999998], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_111.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_111.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_111.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_111.png", "instructions": [["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the right and slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "C"}
1steps_easy_no_69
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon to the right by a significant amount and significantly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [30, -30]]]
easy
{"instance_id": 69, "shape_A": {"name": "ellipse", "facecolor": [0.802475727972907, 0.6910531162803616, 0.4215916985342145], "edgecolor": "black", "center": [-2.220446049250313e-16, 0.0], "size": [32.38110813023729, 20.816710986248278]}, "shape_B": {"name": "pentagon", "facecolor": [0.6139202331079753, 0.5268834034310499, 0.2677608771502651], "edgecolor": "black", "center": [-1.4210854715202005e-15, 0.0], "size": [56.946530200153354, 59.8771253069049]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_69.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_69.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_69.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_69.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_69.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_69.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [29.94, 28.473000000000003], "center": [0.0, 1.5031000000000034], "color": [0.9610740832386623, 0.34202575017393666, 0.4379453644806294]}, {"name": "pentagon", "size": [34.23, 37.541], "center": [1.3752, -0.11930000000000049], "color": [0.2723290627430367, 0.8336268559113061, 0.7005638833326597]}, {"name": "pentagon", "size": [56.946, 59.878], "center": [-3.0057999999999994, 0.0], "color": [0.6139202331079753, 0.5268834034310499, 0.2677608771502651]}, {"name": "pentagon", "size": [56.946, 59.878], "center": [30.0002, -30.0], "color": [0.6139202331079753, 0.5268834034310499, 0.2677608771502651]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.382000000000005, 20.816000000000003], "center": [29.999999999999993, -29.999999999999993], "color": [0.802475727972907, 0.6910531162803616, 0.4215916985342145]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [56.946, 59.878], "center": [30.0002, -30.0], "color": [0.6139202331079753, 0.5268834034310499, 0.2677608771502651]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_69.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_69.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_69.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_69.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_69.png", "instructions": [["translate", [30, -30]]], "correct_answer": {"easy": "D"}, "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 and significantly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D"}
1steps_easy_no_11
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [30, -10]]]
easy
{"instance_id": 11, "shape_A": {"name": "rectangle", "facecolor": [0.5776511530902706, 0.7741944842449918, 0.39812975179986976], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.17938309182564, 24.02184680443587]}, "shape_B": {"name": "circle", "facecolor": [0.55210494834027, 0.5575626751964372, 0.1787195978329551], "edgecolor": "black", "center": [-9.769962616701378e-16, -1.2878587085651815e-15], "size": [60.52052797084585, 60.52052797084585]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_11.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_11.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_11.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [49.251999999999995, 76.348], "center": [0.0, 2.1316282072803005e-15], "color": [0.5158136315528283, 0.2316709728180616, 0.16948289181310217]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.03606113314434878, 0.23925662528737723, 0.00028727185462340543]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [30.672, 31.632], "center": [3.9968028886505636e-16, 6.439293542825908e-16], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}], "medium": [{"name": "circle", "size": [84.25399999999999, 78.56], "center": [-2.1316282072803005e-15, 2.220446049250313e-15], "color": [0.1827844526404001, 0.7461562580101736, 0.9302552633727152]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [35.214, 33.432], "center": [0.00010000000000047749, 2.4999999999497646e-05], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}], "hard": [{"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [60.52, 41.720668141681124], "center": [1.6875389974302379e-15, -1.4210854715202005e-15], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [35.61, 33.478], "center": [1.9539925233402757e-15, 1.5543122344752192e-15], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [33.18000000000001, 24.022], "center": [30.0, -9.999999999999998], "color": [0.5776511530902706, 0.7741944842449918, 0.39812975179986976]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_11.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_11.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_11.png", "instructions": [["translate", [30, -10]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "A"}
1steps_easy_no_54
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle slightly upward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [0, 10]]]
easy
{"instance_id": 54, "shape_A": {"name": "ellipse", "facecolor": [0.7611700183142153, 0.9139806085900468, 0.9122661949657326], "edgecolor": "black", "center": [4.4408920985006264e-17, -1.8318679906315082e-16], "size": [31.356916610856874, 21.478132020794455]}, "shape_B": {"name": "circle", "facecolor": [0.950315567533943, 0.3874025664685953, 0.09709140329031751], "edgecolor": "black", "center": [-1.2434497875801752e-15, 1.3766765505351941e-15], "size": [66.31023390219511, 66.31023390219511]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_54.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [91.414, 59.087999999999994], "center": [1.7763568394002506e-16, 3.730349362740526e-15], "color": [0.9101611922993733, 0.6112818315428236, 0.43618795925559617]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, 9.999999999999998], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [71.811, 76.27], "center": [-2.4999999999053557e-05, -2.3980817331903383e-15], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, -1.1102230246251565e-16], "color": [0.4776867936322615, 0.3154263789388455, 0.42547020888416764]}], "medium": [{"name": "circle", "size": [60.902, 74.818], "center": [4.440892098500626e-16, 5.5067062021407766e-15], "color": [0.6333073300861608, 0.46331443261096983, 0.15705293734072656]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, -1.1102230246251565e-16], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [87.246, 59.892], "center": [9.999999999941168e-05, -0.0002250000000029173], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, 9.999999999999998], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}], "hard": [{"name": "circle", "size": [66.31, 66.31], "center": [0.0, 9.999999999999998], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [94.78, 85.024], "center": [-2.4868995751603505e-15, -1.7763568394002506e-16], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, -1.1102230246251565e-16], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [74.876, 73.78], "center": [-3.552713678800501e-16, 3.1530333899354444e-15], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [31.356, 21.478], "center": [-4.4408920985006264e-17, 9.999999999999996], "color": [0.7611700183142153, 0.9139806085900468, 0.9122661949657326]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [66.31, 66.31], "center": [0.0, 9.999999999999998], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_54.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_54.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_54.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_54.png", "instructions": [["translate", [0, 10]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "D", "hard": "A"}
1steps_easy_no_4
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['scale', 0.5]]
easy
{"instance_id": 4, "shape_A": {"name": "circle", "facecolor": [0.9676965076927446, 0.698479962811881, 0.39195798433536033], "edgecolor": "black", "center": [1.2434497875801752e-15, 5.995204332975846e-16], "size": [64.86270920872727, 64.86270920872727]}, "shape_B": {"name": "hexagon", "facecolor": [0.4234063663221037, 0.3618280963467846, 0.3625976689820444], "edgecolor": "black", "center": [5.921189464667501e-16, 0.0], "size": [68.35119826634556, 59.19387407776214]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_4.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_4.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_4.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_4.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_4.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_4.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [44.54, 37.018], "center": [0.0001666666666665743, 0.0], "color": [0.44892796303334037, 0.5340111496982611, 0.3094678965627896]}, {"name": "hexagon", "size": [34.176, 29.596], "center": [0.0, 0.0], "color": [0.4234063663221037, 0.3618280963467846, 0.3625976689820444]}, {"name": "hexagon", "size": [59.194, 68.352], "center": [0.0, 0.0], "color": [0.44419870980527565, 0.28492793256335824, 0.7485365180954363]}, {"name": "hexagon", "size": [68.352, 59.194], "center": [0.0, 0.0], "color": [0.4234063663221037, 0.3618280963467846, 0.3625976689820444]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [32.432, 32.432], "center": [2.6645352591003756e-16, 3.9968028886505636e-16], "color": [0.9676965076927446, 0.698479962811881, 0.39195798433536033]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [34.176, 29.596], "center": [0.0, 0.0], "color": [0.4234063663221037, 0.3618280963467846, 0.3625976689820444]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_4.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_4.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_4.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_4.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_4.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n\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"}
1steps_easy_no_27
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['scale', 0.5]]
easy
{"instance_id": 27, "shape_A": {"name": "ellipse", "facecolor": [0.09999246377201576, 0.8038926179422919, 0.3356773514495518], "edgecolor": "black", "center": [1.7763568394002506e-16, -3.7192471324942745e-16], "size": [34.32563870780791, 24.218485601087792]}, "shape_B": {"name": "hexagon", "facecolor": [0.4906618500859663, 0.35078104577804436, 0.5457150731782578], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.8435483956904, 56.156160182193574]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_27.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_27.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_27.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_27.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_27.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_27.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_27.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [32.422, 28.078], "center": [0.0, 0.0], "color": [0.4906618500859663, 0.35078104577804436, 0.5457150731782578]}, {"name": "hexagon", "size": [64.844, 56.156000000000006], "center": [0.0, 1.1842378929335002e-15], "color": [0.8992213823824409, 0.4492693467984472, 0.9583061253733399]}, {"name": "hexagon", "size": [56.156, 64.844], "center": [0.0, 0.0], "color": [0.9654530605221083, 0.8771440358973421, 0.678801525718841]}, {"name": "hexagon", "size": [83.088, 74.794], "center": [-1.1842378929335002e-15, 0.0], "color": [0.4906618500859663, 0.35078104577804436, 0.5457150731782578]}], "hard": [{"name": "hexagon", "size": [32.422, 28.078], "center": [0.0, 0.0], "color": [0.4906618500859663, 0.35078104577804436, 0.5457150731782578]}, {"name": "hexagon", "size": [64.844, 56.156000000000006], "center": [0.0, 0.0], "color": [0.4906618500859663, 0.35078104577804436, 0.5457150731782578]}, {"name": "hexagon", "size": [56.156000000000006, 64.844], "center": [-1.1842378929335002e-15, 0.0], "color": [0.4906618500859663, 0.35078104577804436, 0.5457150731782578]}, {"name": "hexagon", "size": [32.422, 9.241159520277394], "center": [-7.401486830834377e-16, 0.0], "color": [0.4906618500859663, 0.35078104577804436, 0.5457150731782578]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [17.162, 12.11], "center": [0.0, 2.914335439641036e-16], "color": [0.09999246377201576, 0.8038926179422919, 0.3356773514495518]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [32.422, 28.078], "center": [0.0, 0.0], "color": [0.4906618500859663, 0.35078104577804436, 0.5457150731782578]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_27.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_27.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_27.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_27.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_27.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_27.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_27.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n\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", "hard": "A"}
1steps_easy_no_64
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['rotate', 30]]
easy
{"instance_id": 64, "shape_A": {"name": "square", "facecolor": [0.054229834564175294, 0.9589376337990351, 0.431737213390162], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.69267670768586, 33.69267670768586]}, "shape_B": {"name": "pentagon", "facecolor": [0.40885766208469576, 0.03666818218750345, 0.31503709461828966], "edgecolor": "black", "center": [-7.105427357601002e-16, -1.4210854715202005e-15], "size": [60.9655782991361, 64.10300256038187]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_64.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_64.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_64.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_64.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_64.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_64.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [30.483000000000004, 32.052], "center": [-1.6088999999999998, 0.0], "color": [0.40885766208469576, 0.03666818218750345, 0.31503709461828966]}, {"name": "pentagon", "size": [62.702, 63.751], "center": [0.00020000000000095497, 7.105427357601002e-16], "color": [0.40885766208469576, 0.03666818218750345, 0.31503709461828966]}, {"name": "pentagon", "size": [78.88, 86.55799999999999], "center": [3.5622000000000007, 1.6371999999999978], "color": [0.6632548849222079, 0.6139492225461329, 0.04635707922530452]}, {"name": "pentagon", "size": [28.671000000000003, 111.684], "center": [0.013500000000000512, -3.0879999999999996], "color": [0.37778072163342047, 0.6550150441194422, 0.09560579032361716]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [46.026, 46.026], "center": [0.0, 0.0], "color": [0.054229834564175294, 0.9589376337990351, 0.431737213390162]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [62.702, 63.751], "center": [0.00020000000000095497, 7.105427357601002e-16], "color": [0.40885766208469576, 0.03666818218750345, 0.31503709461828966]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_64.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_64.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_64.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_64.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_64.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B"}
1steps_easy_no_77
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the left and slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [-10, -10]]]
easy
{"instance_id": 77, "shape_A": {"name": "ellipse", "facecolor": [0.1493458985082209, 0.002669375180722966, 0.13373432313340528], "edgecolor": "black", "center": [-1.7763568394002506e-16, 7.327471962526033e-16], "size": [33.81016224205581, 21.04670307149107]}, "shape_B": {"name": "hexagon", "facecolor": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.955599391925865, 55.3871737876684]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_77.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_77.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_77.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_77.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_77.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_77.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_77.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-5.921189464667501e-16, 0.0], "color": [0.12882131657953866, 0.8771134627827869, 0.20799123264910058]}, {"name": "hexagon", "size": [31.978, 34.260999999999996], "center": [2.9605947323337506e-16, 0.00033333333333433285], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [55.388000000000005, 63.956], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.6886355916989308, 0.7685835008020164, 0.710005291766658]}], "medium": [{"name": "hexagon", "size": [47.967830133216594, 55.388000000000005], "center": [1.1842378929335002e-15, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [72.838, 73.832], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-5.921189464667501e-16, 0.0], "color": [0.22111353370523357, 0.42202687144453677, 0.8998520060223312]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}], "hard": [{"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [31.977999999999998, 27.694000000000003], "center": [5.921189464667501e-16, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-5.921189464667501e-16, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [73.072, 63.956], "center": [1.1842378929335002e-15, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.81, 21.046], "center": [-10.0, -10.0], "color": [0.1493458985082209, 0.002669375180722966, 0.13373432313340528]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_77.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_77.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_77.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_77.png", "instructions": [["translate", [-10, -10]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "A"}
1steps_easy_no_25
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the right and slightly upward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [10, 10]]]
easy
{"instance_id": 25, "shape_A": {"name": "triangle", "facecolor": [0.9970094979583265, 0.60687704440205, 0.9580156516462669], "edgecolor": "black", "center": [-1.1842378929335002e-15, -1.1842378929335002e-15], "size": [60.120050013244196, 28.320818441605198]}, "shape_B": {"name": "rectangle", "facecolor": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.84858819596678, 21.478040894920845]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_25.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_25.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_25.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_25.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_25.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_25.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_25.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.848, 21.478], "center": [10.0, 10.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [28.474, 10.162], "center": [-4.440892098500626e-16, 0.0], "color": [0.3992804203467756, 0.07297867702730954, 0.3882229989331877]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [0.0, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [15.424, 10.739999999999998], "center": [0.0, -4.440892098500626e-16], "color": [0.8530597843624502, 0.2906606001840657, 0.1582058040062615]}], "medium": [{"name": "rectangle", "size": [15.424, 10.74], "center": [0.0, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [34.024, 37.45399999999999], "center": [-2.220446049250313e-16, 8.881784197001252e-16], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [10.0, 10.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [0.0, 0.0], "color": [0.2134208310699277, 0.2114928876461133, 0.02294273639205846]}], "hard": [{"name": "rectangle", "size": [19.510024348568987, 21.478], "center": [-8.326672684688674e-17, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [10.0, 10.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [44.348, 30.324], "center": [0.0, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [0.0, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [60.120000000000005, 28.320999999999998], "center": [10.0, 10.0], "color": [0.9970094979583265, 0.60687704440205, 0.9580156516462669]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.848, 21.478], "center": [10.0, 10.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_25.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_25.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_25.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_25.png", "instructions": [["translate", [10, 10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the right and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "C", "hard": "B"}
1steps_easy_no_91
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Reduce the size of the circle, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5]]
easy
{"instance_id": 91, "shape_A": {"name": "hexagon", "facecolor": [0.2844907865223737, 0.490191428635519, 0.860096470142603], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.72284426429722, 56.051627338065344]}, "shape_B": {"name": "circle", "facecolor": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627], "edgecolor": "black", "center": [-5.329070518200751e-16, -6.217248937900876e-16], "size": [62.761948360869376, 62.761948360869376]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_91.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_91.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_91.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_91.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_91.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_91.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_91.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [68.203, 75.241], "center": [2.5000000003672086e-05, -2.4999999999053557e-05], "color": [0.17045698438180878, 0.29106518352857225, 0.10669406121674552]}, {"name": "circle", "size": [37.546, 41.736], "center": [-1.7763568394002506e-16, 5.0000000000238744e-05], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [62.762, 62.762], "center": [-5.329070518200751e-16, 7.993605777301127e-16], "color": [0.7381392947242232, 0.7402127472856728, 0.00045506591074484515]}, {"name": "circle", "size": [31.38, 31.38], "center": [-1.3322676295501878e-16, -5.995204332975846e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}], "medium": [{"name": "circle", "size": [31.38, 31.38], "center": [-1.3322676295501878e-16, -5.995204332975846e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [73.862, 81.69800000000001], "center": [-1.2434497875801752e-15, -3.552713678800501e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [100.0, 30.13049500619669], "center": [0.0003442605687972389, -0.0004050124338836336], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [62.762, 62.762], "center": [9.769962616701378e-16, 4.2188474935755947e-16], "color": [0.8900295275670176, 0.15214680918783785, 0.6192798234684117]}], "hard": [{"name": "circle", "size": [31.38, 18.266872077028886], "center": [4.884981308350689e-16, 4.4408920985006264e-17], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [64.86, 62.872], "center": [-8.881784197001253e-17, 3.552713678800501e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [100.0, 48.322407974865214], "center": [2.3092638912203257e-15, 8.437694987151189e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [31.38, 31.38], "center": [-1.3322676295501878e-16, -5.995204332975846e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [32.362, 28.026], "center": [0.0, 0.0], "color": [0.2844907865223737, 0.490191428635519, 0.860096470142603]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [31.38, 31.38], "center": [-1.3322676295501878e-16, -5.995204332975846e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_91.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_91.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_91.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_91.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "D"}
1steps_easy_no_83
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['scale', 0.5]]
easy
{"instance_id": 83, "shape_A": {"name": "ellipse", "facecolor": [0.8582575742542343, 0.21765504547045889, 0.5478558235012966], "edgecolor": "black", "center": [-2.6645352591003756e-16, -6.272760089132135e-16], "size": [33.81721227941492, 24.93051380846707]}, "shape_B": {"name": "rectangle", "facecolor": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.19588873245481, 21.029721266840454]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_83.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_83.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_83.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_83.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_83.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_83.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [15.598, 10.514], "center": [0.0, 0.0], "color": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352]}, {"name": "rectangle", "size": [19.692, 23.164], "center": [0.0, 0.0], "color": [0.45378194262647953, 0.7511292003345171, 0.15349609671612052]}, {"name": "rectangle", "size": [37.532, 33.81], "center": [0.0, 3.3306690738754696e-16], "color": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352]}, {"name": "rectangle", "size": [31.196, 21.03], "center": [0.0, 0.0], "color": [0.7074862335597226, 0.6530187909247748, 0.15202382375369705]}], "medium": [{"name": "rectangle", "size": [37.532, 33.81], "center": [0.0, 3.3306690738754696e-16], "color": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352]}, {"name": "rectangle", "size": [15.598, 10.514], "center": [0.0, 0.0], "color": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352]}, {"name": "rectangle", "size": [52.019999999999996, 45.772000000000006], "center": [0.0, -8.881784197001252e-16], "color": [0.39721311395182346, 0.6045960504231185, 0.8612968229928124]}, {"name": "rectangle", "size": [31.195999999999998, 21.03], "center": [0.0, 0.0], "color": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [16.908, 12.466], "center": [-4.4408920985006264e-17, 8.604228440844963e-17], "color": [0.8582575742542343, 0.21765504547045889, 0.5478558235012966]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [15.598, 10.514], "center": [0.0, 0.0], "color": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_83.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_83.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_83.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n\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"}
1steps_easy_no_89
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon to the right by a significant amount and slightly upward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [30, 10]]]
easy
{"instance_id": 89, "shape_A": {"name": "ellipse", "facecolor": [0.8738797841960166, 0.3699373027970778, 0.8793839790525986], "edgecolor": "black", "center": [2.220446049250313e-16, 2.331468351712829e-16], "size": [31.42511382230244, 21.654669675704362]}, "shape_B": {"name": "pentagon", "facecolor": [0.8515258825455461, 0.7366607977956133, 0.8122339234606947], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [63.164295525139664, 66.41487066530658]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_89.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_89.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [31.582, 33.208], "center": [-1.667000000000001, 0.0], "color": [0.36401369114312054, 0.22099686669935337, 0.9016378822168126]}, {"name": "pentagon", "size": [63.163999999999994, 66.414], "center": [29.999999999999993, 10.000000000000002], "color": [0.8515258825455461, 0.7366607977956133, 0.8122339234606947]}, {"name": "pentagon", "size": [63.164, 66.414], "center": [-3.3339999999999974, 1.4210854715202005e-15], "color": [0.8515258825455461, 0.7366607977956133, 0.8122339234606947]}, {"name": "pentagon", "size": [92.154, 87.866], "center": [2.459800000000002, -1.2907999999999986], "color": [0.6589910301972501, 0.4885789462731246, 0.15403801448562826]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [31.426000000000002, 21.654000000000003], "center": [30.0, 9.999999999999996], "color": [0.8738797841960166, 0.3699373027970778, 0.8793839790525986]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [63.163999999999994, 66.414], "center": [29.999999999999993, 10.000000000000002], "color": [0.8515258825455461, 0.7366607977956133, 0.8122339234606947]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_89.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_89.png", "instructions": [["translate", [30, 10]]], "correct_answer": {"easy": "B"}, "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 and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B"}
1steps_easy_no_113
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle to the right by a significant amount and significantly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [30, -30]]]
easy
{"instance_id": 113, "shape_A": {"name": "hexagon", "facecolor": [0.555322532214736, 0.9909776469521401, 0.8414957444249653], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.87400488390536, 53.584460063344466]}, "shape_B": {"name": "rectangle", "facecolor": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.173776328926845, 24.62562543986995]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_113.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_113.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_113.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_113.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_113.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_113.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_113.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [30.0, -30.0], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [19.656, 18.456], "center": [0.0, -1.1102230246251565e-16], "color": [0.35488710719297956, 0.47819897901811004, 0.8706699593434426]}, {"name": "rectangle", "size": [39.31, 36.914], "center": [0.0, -8.881784197001252e-16], "color": [0.4670344418344139, 0.5255030040148531, 0.13956648318613685]}], "medium": [{"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [36.914, 39.31], "center": [-4.440892098500626e-16, 0.0], "color": [0.9076265589207296, 0.6131727033691329, 0.11798361424253423]}, {"name": "rectangle", "size": [15.586, 12.312], "center": [0.0, 8.881784197001252e-16], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [30.0, -30.0], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}], "hard": [{"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [30.0, -30.0], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [19.86333933996857, 24.626], "center": [0.0, 0.0], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [15.586, 12.311999999999998], "center": [0.0, 0.0], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [61.873999999999995, 53.584], "center": [30.0, -30.0], "color": [0.555322532214736, 0.9909776469521401, 0.8414957444249653]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [30.0, -30.0], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_113.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_113.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_113.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_113.png", "instructions": [["translate", [30, -30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the right by a significant amount and significantly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "B"}
1steps_easy_no_115
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the left. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-10, 0]]]
easy
{"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.4014934934072535, 0.7380168925851729, 0.3814164165428119], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.732742929758466, 31.732742929758466]}, "shape_B": {"name": "triangle", "facecolor": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015], "edgecolor": "black", "center": [0.0, 1.7763568394002505e-15], "size": [59.520802591828854, 19.37818540373977]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_115.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_115.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_115.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [47.522, 43.075], "center": [4.029999999999999, -5.064500000000002], "color": [0.9016738106658976, 0.21996315886032403, 0.35994727594242615]}, {"name": "triangle", "size": [59.521, 19.378], "center": [7.6081666666666665, 0.5466666666666669], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [25.814999999999998, 93.245], "center": [4.2045, -13.704833333333333], "color": [0.6533812285260087, 0.044091302373809094, 0.534874752743609]}, {"name": "triangle", "size": [59.521, 19.378], "center": [-10.000333333333332, -0.0003333333333337407], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}], "medium": [{"name": "triangle", "size": [26.875, 94.314], "center": [-3.5225000000000004, -14.313], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [19.378, 59.52], "center": [-0.5470000000000003, 7.608], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [59.521, 19.378], "center": [7.6081666666666665, 0.5466666666666669], "color": [0.9209770819782677, 0.4822186514671657, 0.04574075664183952]}, {"name": "triangle", "size": [59.521, 19.378], "center": [-10.000333333333332, -0.0003333333333337407], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}], "hard": [{"name": "triangle", "size": [47.25119956121105, 19.378], "center": [7.778267412607868, -0.5339791136463367], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [59.521, 19.378], "center": [-10.000333333333332, -0.0003333333333337407], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [6.308919422043008, 19.378], "center": [0.178087466397848, -2.4769459677419334], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [59.521, 19.378], "center": [7.6081666666666665, 0.5466666666666669], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.732, 31.732], "center": [-10.0, 0.0], "color": [0.4014934934072535, 0.7380168925851729, 0.3814164165428119]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [59.521, 19.378], "center": [-10.000333333333332, -0.0003333333333337407], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_115.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_115.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_115.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_115.png", "instructions": [["translate", [-10, 0]]], "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 a little to the left. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "B"}
1steps_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> 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]]
easy
{"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [3.552713678800501e-16, 7.105427357601002e-16], "size": [59.73126308469467, 62.805166739594156]}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926], "edgecolor": "black", "center": [3.552713678800501e-16, 4.662936703425658e-16], "size": [66.98139394988227, 66.98139394988227]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_0.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_0.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [66.982, 66.982], "center": [-3.552713678800501e-16, 3.552713678800501e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [91.986, 82.59800000000001], "center": [1.5099033134902129e-15, 0.0], "color": [0.8341104266407503, 0.1626540971560848, 0.3552707002275215]}, {"name": "circle", "size": [73.616, 80.694], "center": [2.042810365310288e-15, 2.6645352591003757e-15], "color": [0.6701751743776934, 0.7018203134585513, 0.6835476655366672]}], "medium": [{"name": "circle", "size": [59.658, 55.34], "center": [-7.105427357601002e-16, 0.0], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [78.344, 75.526], "center": [3.552713678800501e-16, -3.730349362740526e-15], "color": [0.9538159275210801, 0.8758529403781941, 0.26338905075109076]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [86.68, 83.364], "center": [1.865174681370263e-15, 1.865174681370263e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "hard": [{"name": "circle", "size": [44.414, 40.201], "center": [4.999999999970584e-05, 2.4999999997854518e-05], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.982, 66.982], "center": [3.552713678800501e-16, -3.819167204710538e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [82.856, 78.658], "center": [0.00032500000000217354, 2.886579864025407e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [0.00020000000000024442, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_0.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_0.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_0.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "D"}
1steps_easy_no_43
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the right and significantly upward. <shapeB_step_0> 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]]]
easy
{"instance_id": 43, "shape_A": {"name": "square", "facecolor": [0.518934989443789, 0.9562589778473904, 0.9495770771065521], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.421245432079395, 32.421245432079395]}, "shape_B": {"name": "triangle", "facecolor": [0.48776838014277246, 0.6801030657239612, 0.824861990375124], "edgecolor": "black", "center": [0.0, 0.0], "size": [47.64306422710757, 58.22121015747649]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_43.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_43.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_43.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_43.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_43.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_43.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_43.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [20.29, 22.064999999999998], "center": [3.0083333333333333, 2.0905], "color": [0.28347880356301947, 0.7697593777809609, 0.08713702883714569]}, {"name": "triangle", "size": [47.643, 58.221000000000004], "center": [10.000000000000002, 30.0], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [47.643, 58.221000000000004], "center": [-1.9675, -5.958500000000001], "color": [0.7763337072272561, 0.17732475293154248, 0.3829323918798473]}, {"name": "triangle", "size": [64.753, 41.462], "center": [4.084166666666666, -1.2870000000000001], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}], "medium": [{"name": "triangle", "size": [47.643, 58.221000000000004], "center": [10.000000000000002, 30.0], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [64.753, 41.462], "center": [-4.084499999999999, -1.2870000000000001], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [47.643, 58.221000000000004], "center": [-1.9675, -5.958500000000001], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [29.111, 23.820999999999998], "center": [-2.9795, 0.9834999999999994], "color": [0.136125273500193, 0.8510131389368888, 0.8824899944618507]}], "hard": [{"name": "triangle", "size": [64.513, 31.358], "center": [9.0415, -0.6959999999999997], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [47.643, 58.221000000000004], "center": [10.000000000000002, 30.0], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [47.643, 58.221000000000004], "center": [-1.9675, -5.958500000000001], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [47.642999999999994, 21.245919766960057], "center": [2.1536448966010826, 2.4494582574739776], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.422, 32.422], "center": [10.0, 30.0], "color": [0.518934989443789, 0.9562589778473904, 0.9495770771065521]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [47.643, 58.221000000000004], "center": [10.000000000000002, 30.0], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_43.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_43.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_43.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_43.png", "instructions": [["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the right and significantly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "B"}
1steps_easy_no_85
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['scale', 0.5]]
easy
{"instance_id": 85, "shape_A": {"name": "triangle", "facecolor": [0.9040285740471566, 0.3453132671999223, 0.9530303472757722], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [53.1961517479365, 38.33117053960915]}, "shape_B": {"name": "rectangle", "facecolor": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.90548644315825, 21.67505696738293]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_85.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_85.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_85.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_85.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_85.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_85.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_85.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [21.676000000000002, 31.906000000000002], "center": [-8.881784197001252e-16, -1.7763568394002505e-15], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [15.952, 10.838], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [31.906, 21.676], "center": [0.0, 0.0], "color": [0.23054815990551825, 0.9929094110270736, 0.12951847277170814]}, {"name": "rectangle", "size": [45.974, 36.566], "center": [0.0, 1.1102230246251565e-16], "color": [0.5327902134036759, 0.3549524001564982, 0.4002468374322419]}], "medium": [{"name": "rectangle", "size": [15.952, 10.838], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [21.676, 31.906], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [29.584, 39.834], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [31.906, 21.676000000000002], "center": [0.0, -8.881784197001252e-16], "color": [0.22094841750882754, 0.45681420425779473, 0.9101784125506043]}], "hard": [{"name": "rectangle", "size": [31.904, 21.676000000000002], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [15.952, 10.838], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [21.676, 31.906], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [38.72, 38.45], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [26.598, 19.166], "center": [0.0, 0.0], "color": [0.9040285740471566, 0.3453132671999223, 0.9530303472757722]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [15.952, 10.838], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_85.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_85.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_85.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_85.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "B"}
1steps_easy_no_19
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [30, 10]]]
easy
{"instance_id": 19, "shape_A": {"name": "triangle", "facecolor": [0.7822337450080271, 0.055327272859096444, 0.8965054756695743], "edgecolor": "black", "center": [5.921189464667501e-16, 2.3684757858670005e-15], "size": [19.71630746870586, 59.19983679955833]}, "shape_B": {"name": "circle", "facecolor": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744], "edgecolor": "black", "center": [-3.552713678800501e-16, -7.993605777301127e-16], "size": [68.42750267241598, 68.42750267241598]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_19.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_19.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_19.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_19.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_19.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_19.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_19.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [68.428, 68.428], "center": [29.999999999999993, 10.000000000000004], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [68.428, 68.428], "center": [1.2434497875801752e-15, -8.881784197001253e-17], "color": [0.6453975883633282, 0.9052294314340854, 0.034809431742675256]}, {"name": "circle", "size": [58.94, 107.708], "center": [-7.993605777301127e-16, 2.220446049250313e-15], "color": [0.4752217808043303, 0.36773928866807637, 0.30817139909471725]}, {"name": "circle", "size": [33.381, 34.36], "center": [0.00052499999999851, 2.4999999999675283e-05], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}], "medium": [{"name": "circle", "size": [68.428, 68.428], "center": [29.999999999999993, 10.000000000000004], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [55.43051981829518, 68.428], "center": [0.0, 2.9753977059954196e-15], "color": [0.4532617531359948, 0.027350893333371262, 0.052098822901940234]}, {"name": "circle", "size": [68.428, 68.428], "center": [1.2434497875801752e-15, -8.881784197001253e-17], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [34.852, 34.554], "center": [5.000000000041638e-05, -0.00012500000000013057], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}], "hard": [{"name": "circle", "size": [68.428, 68.428], "center": [29.999999999999993, 10.000000000000004], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [79.376, 74.382], "center": [2.4868995751603505e-15, -3.1086244689504383e-15], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [68.428, 68.428], "center": [1.2434497875801752e-15, -8.881784197001253e-17], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [44.956, 43.524], "center": [-5.000000000050519e-05, -2.4999999999497646e-05], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [19.717, 59.2], "center": [30.0, 9.999999999999998], "color": [0.7822337450080271, 0.055327272859096444, 0.8965054756695743]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.428, 68.428], "center": [29.999999999999993, 10.000000000000004], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_19.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_19.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_19.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_19.png", "instructions": [["translate", [30, 10]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "A"}
1steps_easy_no_100
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
easy
{"instance_id": 100, "shape_A": {"name": "pentagon", "facecolor": [0.03245194873702206, 0.6352457292026804, 0.24131348185129242], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [59.86112195051914, 62.94170843149102]}, "shape_B": {"name": "hexagon", "facecolor": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.87327282036881, 56.181902289077954]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_100.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_100.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_100.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_100.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_100.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_100.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_100.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [64.874, 56.182], "center": [-2.3684757858670005e-15, 0.0], "color": [0.7175577096852506, 0.7116305524229208, 0.6666397815493765]}, {"name": "hexagon", "size": [65.07, 84.614], "center": [5.921189464667501e-16, 5.921189464667501e-16], "color": [0.20121864131990086, 0.12550210774153991, 0.5615484249177809]}, {"name": "hexagon", "size": [56.182, 64.874], "center": [0.0, 5.921189464667501e-16], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}, {"name": "hexagon", "size": [28.092, 32.436], "center": [0.0, 5.921189464667501e-16], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}], "medium": [{"name": "hexagon", "size": [64.874, 56.182], "center": [5.921189464667501e-16, 0.0], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}, {"name": "hexagon", "size": [32.436, 28.09], "center": [-5.921189464667501e-16, 0.0], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}, {"name": "hexagon", "size": [56.182, 45.07383012020391], "center": [5.921189464667501e-16, 0.0], "color": [0.004324391046847675, 0.12050138513850484, 0.48267685086702905]}, {"name": "hexagon", "size": [56.182, 64.874], "center": [0.0, 5.921189464667501e-16], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}], "hard": [{"name": "hexagon", "size": [32.436, 28.09], "center": [5.921189464667501e-16, 0.0], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}, {"name": "hexagon", "size": [56.182, 64.874], "center": [0.0, 5.921189464667501e-16], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}, {"name": "hexagon", "size": [38.26, 37.794], "center": [0.0, 0.0], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}, {"name": "hexagon", "size": [56.182, 54.65261362024848], "center": [5.921189464667501e-16, 5.921189464667501e-16], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [61.566, 62.596999999999994], "center": [7.105427357601002e-16, -0.00019999999999953388], "color": [0.03245194873702206, 0.6352457292026804, 0.24131348185129242]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [56.182, 64.874], "center": [0.0, 5.921189464667501e-16], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_100.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_100.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_100.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_100.png", "instructions": [["rotate", 30]], "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 counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "B"}
1steps_easy_no_119
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle to the left by a significant amount. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [-30, 0]]]
easy
{"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3625026865502513, 0.3684118524639656, 0.9762874785692875], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [62.38601511685521, 65.59653821613074]}, "shape_B": {"name": "rectangle", "facecolor": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.352761751473544, 20.069623533794292]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_119.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [16.176, 10.034000000000002], "center": [0.0, 1.7763568394002505e-15], "color": [0.7916012896307182, 0.8858480336699703, 0.325896016829761]}, {"name": "rectangle", "size": [38.054, 33.55800000000001], "center": [0.0, 8.881784197001252e-16], "color": [0.43717502926126484, 0.5517078489548533, 0.49083160755990596]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "medium": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [12.449925820609508, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [20.069999999999997, 32.352000000000004], "center": [-1.7763568394002505e-15, 0.0], "color": [0.8689337559539068, 0.9517460276412456, 0.7239486144303212]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "hard": [{"name": "rectangle", "size": [29.91, 43.944], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [48.376, 43.496], "center": [-3.885780586188048e-16, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [62.385999999999996, 65.596], "center": [-30.0, 0.0], "color": [0.3625026865502513, 0.3684118524639656, 0.9762874785692875]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_119.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_119.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_119.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_119.png", "instructions": [["translate", [-30, 0]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the left by a significant amount. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "B"}
1steps_easy_no_110
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['scale', 0.5]]
easy
{"instance_id": 110, "shape_A": {"name": "square", "facecolor": [0.4252919163020703, 0.8847979142498625, 0.2420995282585654], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.3714474106758, 31.3714474106758]}, "shape_B": {"name": "rectangle", "facecolor": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.47749790823757, 21.613553115501944]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_110.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_110.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_110.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_110.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_110.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_110.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_110.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [21.614, 33.478], "center": [-1.7763568394002505e-15, 3.552713678800501e-15], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [16.738, 10.806], "center": [0.0, 0.0], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [33.478, 21.614], "center": [0.0, 0.0], "color": [0.4265712686029307, 0.7717651006598091, 0.15623669949249375]}, {"name": "rectangle", "size": [35.456, 39.8], "center": [0.0, 0.0], "color": [0.9511658799857805, 0.8366830664978898, 0.07650318492770924]}], "medium": [{"name": "rectangle", "size": [33.477999999999994, 21.613999999999997], "center": [1.7763568394002505e-15, 8.881784197001252e-16], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [21.614, 33.478], "center": [0.0, 0.0], "color": [0.5021901731745965, 0.5306376164175666, 0.44691258467675354]}, {"name": "rectangle", "size": [21.16, 20.304], "center": [0.0, 2.7755575615628914e-17], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [16.738, 10.806], "center": [0.0, 0.0], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}], "hard": [{"name": "rectangle", "size": [33.477999999999994, 21.613999999999997], "center": [1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [21.612, 33.476], "center": [0.0, 0.0], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [16.738, 10.806], "center": [0.0, 0.0], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [39.8, 35.456], "center": [0.0, 0.0], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [15.686, 15.686], "center": [0.0, 0.0], "color": [0.4252919163020703, 0.8847979142498625, 0.2420995282585654]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [16.738, 10.806], "center": [0.0, 0.0], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_110.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_110.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_110.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_110.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n\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": "C"}
1steps_easy_no_101
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> 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]]
easy
{"instance_id": 101, "shape_A": {"name": "rectangle", "facecolor": [0.4286103694029272, 0.21983952405210871, 0.16389177698089252], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.629883255451308, 24.027644220255404]}, "shape_B": {"name": "triangle", "facecolor": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527], "edgecolor": "black", "center": [1.1842378929335002e-15, 0.0], "size": [13.015201290496858, 65.22893875006488]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_101.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_101.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_101.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_101.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_101.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_101.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_101.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [62.997, 28.374], "center": [-8.542499999999999, 2.385333333333333], "color": [0.33051585564274477, 0.9810204363951056, 0.13659843033263275]}, {"name": "triangle", "size": [31.499000000000002, 14.187], "center": [-4.2715, 1.1925], "color": [0.42875502656251063, 0.12451195015112537, 0.8498348903717695]}, {"name": "triangle", "size": [13.015999999999998, 65.229], "center": [0.839000000000001, 10.3485], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}, {"name": "triangle", "size": [62.997, 28.374], "center": [-1.1842378929335002e-15, 0.00033333333333344467], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}], "medium": [{"name": "triangle", "size": [62.997, 28.374], "center": [-8.542499999999999, 2.385333333333333], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}, {"name": "triangle", "size": [62.997, 28.374], "center": [-1.1842378929335002e-15, 0.00033333333333344467], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}, {"name": "triangle", "size": [62.99699999999999, 12.56849544688027], "center": [9.99472563237774, -0.8102787521079241], "color": [0.07033956733617863, 0.579906975265761, 0.05559559141230619]}, {"name": "triangle", "size": [13.016000000000002, 65.229], "center": [0.8389999999999986, -10.3485], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}], "hard": [{"name": "triangle", "size": [65.229, 13.014], "center": [10.3485, -0.8389999999999999], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}, {"name": "triangle", "size": [62.997, 28.374], "center": [-8.542499999999999, 2.385333333333333], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}, {"name": "triangle", "size": [62.997, 28.374], "center": [-1.1842378929335002e-15, 0.00033333333333344467], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}, {"name": "triangle", "size": [5.660880515100413, 28.373999999999995], "center": [0.3649514947110208, 4.501648413306761], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [36.624, 39.406], "center": [0.0, 0.0], "color": [0.4286103694029272, 0.21983952405210871, 0.16389177698089252]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [62.997, 28.374], "center": [-1.1842378929335002e-15, 0.00033333333333344467], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_101.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_101.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_101.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_101.png", "instructions": [["rotate", 60]], "correct_answer": {"easy": "D", "medium": "B", "hard": "C"}, "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\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "B", "hard": "C"}
1steps_easy_no_48
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [0, -10]]]
easy
{"instance_id": 48, "shape_A": {"name": "pentagon", "facecolor": [0.1253063881148132, 0.8897634443373729, 0.21780396001199154], "edgecolor": "black", "center": [-1.0658141036401502e-15, 0.0], "size": [58.41746665608559, 61.42375942457255]}, "shape_B": {"name": "square", "facecolor": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.24139023903668, 34.24139023903668]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_48.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [23.388, 23.388], "center": [-2.220446049250313e-16, 4.440892098500626e-16], "color": [0.31310360323715114, 0.1300078846428092, 0.39116299289200374]}, {"name": "square", "size": [46.774, 46.774], "center": [-2.220446049250313e-16, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242000000000004], "center": [0.0, 1.7763568394002505e-15], "color": [0.28586906273490087, 0.4593785072657385, 0.2547711669189501]}, {"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}], "medium": [{"name": "square", "size": [46.774, 46.774], "center": [4.440892098500626e-16, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242000000000004], "center": [0.0, 1.7763568394002505e-15], "color": [0.005618599334409224, 0.7643054273655655, 0.5410138633533258]}, {"name": "square", "size": [23.388, 23.387999999999998], "center": [0.0002499999999997504, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}], "hard": [{"name": "square", "size": [23.387999999999998, 23.387999999999998], "center": [0.0, 2.220446049250313e-16], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [46.775999999999996, 46.775999999999996], "center": [-8.881784197001252e-16, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242000000000004], "center": [0.0, 1.7763568394002505e-15], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [58.417, 61.42400000000001], "center": [0.0, -10.000000000000002], "color": [0.1253063881148132, 0.8897634443373729, 0.21780396001199154]}], "tranformed_B_sequence_info": [{"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_48.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_48.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_48.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_48.png", "instructions": [["translate", [0, -10]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "B", "hard": "B"}
1steps_easy_no_12
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square a little to the left and significantly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-10, -30]]]
easy
{"instance_id": 12, "shape_A": {"name": "hexagon", "facecolor": [0.16199948894698535, 0.22821793938787327, 0.3168782416955612], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [61.83886199103384, 53.55402542535525]}, "shape_B": {"name": "square", "facecolor": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.22449193823986, 32.22449193823986]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_12.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_12.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_12.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_12.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [22.01, 22.009999999999998], "center": [0.00024999999999997247, -0.00024999999999986144], "color": [0.5484337438182938, 0.026364913366241027, 0.39701252076016946]}, {"name": "square", "size": [32.224000000000004, 32.224000000000004], "center": [1.7763568394002505e-15, 0.0], "color": [0.7649963721335957, 0.08325120139068665, 0.26245226426498713]}, {"name": "square", "size": [44.018, 44.018], "center": [4.440892098500626e-16, 0.0], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}, {"name": "square", "size": [32.224, 32.224000000000004], "center": [-10.0, -30.000000000000004], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}], "medium": [{"name": "square", "size": [32.224, 32.224000000000004], "center": [-10.0, -30.000000000000004], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}, {"name": "square", "size": [32.224000000000004, 32.224000000000004], "center": [1.7763568394002505e-15, 0.0], "color": [0.9469575118681244, 0.47706707045145713, 0.009132599576333167]}, {"name": "square", "size": [44.02, 44.02], "center": [-8.881784197001252e-16, -4.440892098500626e-16], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}, {"name": "square", "size": [22.01, 22.01], "center": [0.0, 0.0], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}], "hard": [{"name": "square", "size": [22.01, 22.009999999999998], "center": [0.0, 0.0], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}, {"name": "square", "size": [44.019999999999996, 44.019999999999996], "center": [-4.440892098500626e-16, 0.0], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}, {"name": "square", "size": [32.224, 32.224000000000004], "center": [-10.0, -30.000000000000004], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}, {"name": "square", "size": [32.224000000000004, 32.224000000000004], "center": [1.7763568394002505e-15, 0.0], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [61.837999999999994, 53.554], "center": [-10.000000000000002, -30.0], "color": [0.16199948894698535, 0.22821793938787327, 0.3168782416955612]}], "tranformed_B_sequence_info": [{"name": "square", "size": [32.224, 32.224000000000004], "center": [-10.0, -30.000000000000004], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_12.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_12.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_12.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_12.png", "instructions": [["translate", [-10, -30]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square a little to the left and significantly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "C"}
1steps_easy_no_45
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the left and slightly upward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-10, 10]]]
easy
{"instance_id": 45, "shape_A": {"name": "ellipse", "facecolor": [0.04229692560077969, 0.6105584026042313, 0.5018360319576993], "edgecolor": "black", "center": [-6.217248937900876e-16, -3.774758283725532e-16], "size": [32.95158577855741, 23.42577856482111]}, "shape_B": {"name": "hexagon", "facecolor": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.13665303696516, 59.00807245885795]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_45.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_45.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_45.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_45.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_45.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_45.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_45.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [0.0, 0.0], "color": [0.4798918781505368, 0.2661741245407, 0.23329888158229328]}, {"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [-9.999999999999998, 9.999999999999998], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [59.008, 68.136], "center": [0.0, 0.0], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [29.504, 34.068], "center": [0.0, 0.0], "color": [0.17419542195048254, 0.3223195406563111, 0.18301533319752972]}], "medium": [{"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [-9.999999999999998, 9.999999999999998], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [0.0, 0.0], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [59.007999999999996, 68.136], "center": [-1.1842378929335002e-15, 0.0], "color": [0.5710876284752487, 0.4403535945156153, 0.5068479878738469]}, {"name": "hexagon", "size": [29.503999999999998, 34.068], "center": [0.0, 1.1842378929335002e-15], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}], "hard": [{"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [0.0, 0.0], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [29.503999999999998, 34.068], "center": [0.0, -1.1842378929335002e-15], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [51.10285405659269, 59.007999999999996], "center": [-1.1842378929335002e-15, -2.0724163126336257e-15], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [-9.999999999999998, 9.999999999999998], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.952, 23.426000000000002], "center": [-10.0, 10.0], "color": [0.04229692560077969, 0.6105584026042313, 0.5018360319576993]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [-9.999999999999998, 9.999999999999998], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_45.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_45.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_45.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_45.png", "instructions": [["translate", [-10, 10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "D"}
1steps_easy_no_44
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Rotate the pentagon by 90 degrees clockwise around its center. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', -90]]
easy
{"instance_id": 44, "shape_A": {"name": "triangle", "facecolor": [0.13566664143584373, 0.15475493567241527, 0.5712188179950246], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [39.09065007894619, 68.13348693692095]}, "shape_B": {"name": "pentagon", "facecolor": [0.3824127830539007, 0.6576778631940466, 0.2410889471289236], "edgecolor": "black", "center": [7.105427357601002e-16, 7.105427357601002e-16], "size": [56.215822874788, 59.108814157309055]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_44.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_44.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_44.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_44.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_44.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_44.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [68.035, 68.495], "center": [1.0264999999999986, -3.5514999999999994], "color": [0.3031985479315523, 0.5531363975305775, 0.14387295571308367]}, {"name": "pentagon", "size": [28.108, 29.554], "center": [-1.4839999999999995, -3.552713678800501e-16], "color": [0.8967065600049781, 0.3251025129356955, 0.36369229631476285]}, {"name": "pentagon", "size": [59.108, 56.215], "center": [-7.105427357601002e-16, -0.00019999999999917862], "color": [0.3824127830539007, 0.6576778631940466, 0.2410889471289236]}, {"name": "pentagon", "size": [99.01400000000001, 26.636], "center": [2.711000000000002, 0.8010000000000002], "color": [0.3824127830539007, 0.6576778631940466, 0.2410889471289236]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [68.134, 39.09], "center": [0.0, 0.0], "color": [0.13566664143584373, 0.15475493567241527, 0.5712188179950246]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [59.108, 56.215], "center": [-7.105427357601002e-16, -0.00019999999999917862], "color": [0.3824127830539007, 0.6576778631940466, 0.2410889471289236]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_44.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_44.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_44.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_44.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_44.png", "instructions": [["rotate", -90]], "correct_answer": {"easy": "C"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 90 degrees clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C"}
1steps_easy_no_58
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right and slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [10, -10]]]
easy
{"instance_id": 58, "shape_A": {"name": "circle", "facecolor": [0.39441899337053987, 0.8314752779425982, 0.4433840218168307], "edgecolor": "black", "center": [-2.6645352591003756e-16, -2.264854970235319e-15], "size": [63.707355392203894, 63.707355392203894]}, "shape_B": {"name": "hexagon", "facecolor": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.91886238919145, 57.087409417610374]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_58.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [-2.3684757858670005e-15, 0.0], "color": [0.010323368122617582, 0.5724429065403671, 0.228269170694268]}, {"name": "hexagon", "size": [28.544, 32.96], "center": [0.0, -5.921189464667501e-16], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [10.0, -9.999999999999998], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [57.087999999999994, 65.918], "center": [-1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.2183886372202004, 0.525721577653499, 0.939392949297939]}], "medium": [{"name": "hexagon", "size": [57.087999999999994, 65.918], "center": [0.0, -1.7763568394002505e-15], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [10.0, -9.999999999999998], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [61.298, 75.166], "center": [-4.440892098500626e-16, 0.0], "color": [0.26866823692135844, 0.42840064153749335, 0.3352411150644017]}, {"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [-2.3684757858670005e-15, 0.0], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}], "hard": [{"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [-2.3684757858670005e-15, 0.0], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [32.96, 28.543999999999997], "center": [-8.881784197001252e-16, 5.921189464667501e-16], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [49.43931650485437, 57.087999999999994], "center": [0.0, -1.1842378929335002e-15], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [10.0, -9.999999999999998], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [63.708, 63.708], "center": [9.999999999999998, -9.999999999999998], "color": [0.39441899337053987, 0.8314752779425982, 0.4433840218168307]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [10.0, -9.999999999999998], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_58.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_58.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_58.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_58.png", "instructions": [["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "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 right and slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "B", "hard": "D"}
1steps_easy_no_10
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> 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]]
easy
{"instance_id": 10, "shape_A": {"name": "hexagon", "facecolor": [0.5613346831775337, 0.7521337567354232, 0.6493001133859433], "edgecolor": "black", "center": [0.0, -1.7763568394002505e-15], "size": [61.13374027504592, 52.943372106549646]}, "shape_B": {"name": "rectangle", "facecolor": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.21913581933442, 20.199386242127098]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_10.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_10.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_10.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_10.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_10.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_10.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_10.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [31.22, 20.200000000000003], "center": [0.0, -8.881784197001252e-16], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [15.61, 10.099999999999998], "center": [0.0, -1.7763568394002505e-15], "color": [0.9716287699064329, 0.7733185182360919, 0.5332058221647932]}, {"name": "rectangle", "size": [37.136, 33.102], "center": [0.0, -5.551115123125783e-17], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [20.200000000000003, 31.22], "center": [0.0, 0.0], "color": [0.6269330759754167, 0.21078147493552502, 0.6295144839106669]}], "medium": [{"name": "rectangle", "size": [10.1, 15.61], "center": [0.0, 0.0], "color": [0.12323515893349901, 0.005029839074005116, 0.5966548874533303]}, {"name": "rectangle", "size": [31.22, 20.2], "center": [0.0, 0.0], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [37.136, 33.102], "center": [0.0, -5.551115123125783e-17], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [21.417693786034594, 33.102], "center": [0.0, 0.0], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}], "hard": [{"name": "rectangle", "size": [15.61, 10.099999999999998], "center": [0.0, 1.7763568394002505e-15], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [20.2, 31.22], "center": [0.0, 0.0], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [37.136, 33.102], "center": [0.0, -5.551115123125783e-17], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [31.22, 20.200000000000003], "center": [0.0, -8.881784197001252e-16], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [52.944, 61.134], "center": [0.0, 2.9605947323337506e-16], "color": [0.5613346831775337, 0.7521337567354232, 0.6493001133859433]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [37.136, 33.102], "center": [0.0, -5.551115123125783e-17], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_10.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_10.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_10.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_10.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "C", "medium": "C", "hard": "C"}, "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\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "C", "hard": "C"}
1steps_easy_no_37
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [30, -30]]]
easy
{"instance_id": 37, "shape_A": {"name": "hexagon", "facecolor": [0.669417138841795, 0.811689778412918, 0.34273713541625694], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.55598325042068, 53.30904524979371]}, "shape_B": {"name": "ellipse", "facecolor": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338], "edgecolor": "black", "center": [1.3322676295501878e-15, 3.774758283725532e-16], "size": [33.15762261543205, 21.632665340852334]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_37.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.158, 21.632], "center": [-1.0658141036401502e-15, 7.105427357601002e-16], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [21.631999999999998, 33.158], "center": [8.881784197001253e-17, -8.881784197001253e-17], "color": [0.1479719695077395, 0.22362521174913785, 0.7834764511805218]}, {"name": "ellipse", "size": [15.325999999999997, 12.484000000000002], "center": [8.881784197001253e-17, 2.500000000047464e-05], "color": [0.3003424912815823, 0.8631259147647192, 0.1064968021517172]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [29.999999999999993, -30.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}], "medium": [{"name": "ellipse", "size": [14.113385933164436, 21.632], "center": [-1.1102230246251566e-17, 4.4408920985006264e-17], "color": [0.15004624828972257, 0.4285426176536714, 0.8965813077413666]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [-1.0658141036401502e-15, 7.105427357601002e-16], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [21.631999999999998, 33.158], "center": [8.881784197001253e-17, 0.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [29.999999999999993, -30.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}], "hard": [{"name": "ellipse", "size": [21.631999999999998, 33.158], "center": [8.881784197001253e-17, 8.881784197001253e-17], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [-1.0658141036401502e-15, 7.105427357601002e-16], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [29.999999999999993, -30.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [14.112534652270945, 21.632000000000005], "center": [1.2434497875801752e-15, -4.440892098500626e-16], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [61.556, 53.31], "center": [30.0, -30.0], "color": [0.669417138841795, 0.811689778412918, 0.34273713541625694]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.158, 21.632], "center": [29.999999999999993, -30.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_37.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_37.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_37.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_37.png", "instructions": [["translate", [30, -30]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>\n\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": "C"}
1steps_easy_no_46
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> 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]]
easy
{"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.7147347733928225, 0.10796046430355977, 0.2133437952034949], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.510440837427673, 20.723222801915657]}, "shape_B": {"name": "circle", "facecolor": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783], "edgecolor": "black", "center": [-1.7763568394002506e-16, 4.662936703425658e-16], "size": [69.06429081828506, 69.06429081828506]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_46.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [83.06, 80.728], "center": [1.7763568394002506e-16, 7.993605777301127e-16], "color": [0.5459150181873522, 0.6164681662855144, 0.5384037540659804]}, {"name": "circle", "size": [34.532, 34.532], "center": [8.881784197001253e-17, -1.0103029524088924e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [91.243, 98.908], "center": [4.999999999393268e-05, 1.3322676295501878e-16], "color": [0.9191167234966132, 0.626590098265795, 0.9471849297361556]}], "medium": [{"name": "circle", "size": [34.532, 34.532], "center": [8.881784197001253e-17, -1.0103029524088924e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [122.804, 67.472], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [90.905, 88.128], "center": [2.5000000003672086e-05, 5.000000000370264e-05], "color": [0.4104603011161263, 0.32687448553128473, 0.4358039890388459]}], "hard": [{"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [85.76, 125.992], "center": [-1.0880185641326535e-15, 0.0], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [78.176, 76.02], "center": [3.0198066269804257e-15, 7.549516567451064e-16], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [16.14585625268586, 68.97], "center": [1.7763568394002506e-16, 4.884981308350689e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [37.65, 33.702], "center": [0.0, 0.0], "color": [0.7147347733928225, 0.10796046430355977, 0.2133437952034949]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_46.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_46.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_46.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "A", "medium": "C", "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\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"}
1steps_easy_no_73
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the left and significantly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [-10, -30]]]
easy
{"instance_id": 73, "shape_A": {"name": "rectangle", "facecolor": [0.16792517369553162, 0.20171623799177596, 0.23182828122818733], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.92455337100892, 21.292950202067118]}, "shape_B": {"name": "triangle", "facecolor": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275], "edgecolor": "black", "center": [-1.1842378929335002e-15, -1.1842378929335002e-15], "size": [35.814747624629085, 50.20813196195812]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_73.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_73.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_73.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_73.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_73.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_73.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_73.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [17.907000000000004, 25.104], "center": [1.9755000000000003, -0.29566666666666624], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [32.34, 25.387], "center": [2.394, 2.1135], "color": [0.3363317496126026, 0.5317080578124259, 0.7798723798027771]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-3.9510000000000005, -0.5909999999999999], "color": [0.3406427073881695, 0.1066338130567066, 0.9618465720017052]}], "medium": [{"name": "triangle", "size": [35.81399999999999, 20.13389209269414], "center": [-4.045855003243115, -2.8164359926882483], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-3.9510000000000005, -0.5909999999999999], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [58.362, 19.351000000000003], "center": [2.9773333333333327, -3.002499999999999], "color": [0.20298269261692725, 0.7975810445820377, 0.07628866472541018]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}], "hard": [{"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [25.439, 14.301], "center": [-2.8738333333333337, -2.0005], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [17.907, 25.104], "center": [-1.9754999999999978, -0.29566666666666624], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-3.9510000000000005, -0.5909999999999999], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.924, 21.292], "center": [-10.0, -30.0], "color": [0.16792517369553162, 0.20171623799177596, 0.23182828122818733]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_73.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_73.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_73.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_73.png", "instructions": [["translate", [-10, -30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and significantly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "A"}
1steps_medium_no_84
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> 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]]
medium
{"instance_id": 84, "shape_A": {"name": "rectangle", "facecolor": [0.8531873322160516, 0.1737302215808132, 0.7056139401422957], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.02691706487666, 22.45971350274154]}, "shape_B": {"name": "triangle", "facecolor": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884], "edgecolor": "black", "center": [5.921189464667501e-16, 0.0], "size": [28.4250963474395, 68.49539441983214]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_84.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_84.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_84.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_84.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_84.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_84.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_84.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [37.168, 57.693], "center": [-6.160333333333334, 7.1065], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [37.168, 57.693], "center": [-0.0003333333333331486, -2.3684757858670005e-15], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [28.846999999999998, 18.584], "center": [-3.553166666666666, -3.0803333333333334], "color": [0.002029064950654247, 0.7277213452522288, 0.12082122352714486]}, {"name": "triangle", "size": [68.495, 28.425], "center": [3.0484999999999993, -3.653166666666667], "color": [0.5945175534307601, 0.07298432240158292, 0.7215328882337264]}], "medium": [{"name": "triangle", "size": [37.168, 57.693], "center": [-6.160333333333334, 7.1065], "color": [0.2411754242855435, 0.9999888593078554, 0.6691053694699161]}, {"name": "triangle", "size": [12.77382346735822, 57.69299999999999], "center": [-1.2860043130446248, -3.734389157500305], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [28.424999999999997, 68.495], "center": [3.653166666666667, -3.0484999999999993], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [37.168, 57.693], "center": [-0.0003333333333331486, -2.3684757858670005e-15], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}], "hard": [{"name": "triangle", "size": [37.168, 57.693], "center": [-6.160333333333334, 7.1065], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [23.942237024600328, 57.692999999999984], "center": [3.0770442295058, -2.567736484414919], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [37.168, 57.693], "center": [-0.0003333333333331486, -2.3684757858670005e-15], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [57.693, 37.168], "center": [-7.1065, -6.160333333333334], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [38.966, 35.464], "center": [0.0, 0.0], "color": [0.8531873322160516, 0.1737302215808132, 0.7056139401422957]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [37.168, 57.693], "center": [-0.0003333333333331486, -2.3684757858670005e-15], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_84.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_84.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_84.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_84.png", "instructions": [["rotate", -30]], "correct_answer": {"easy": "B", "medium": "D", "hard": "C"}, "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\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": "C"}
1steps_medium_no_37
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [30, -30]]]
medium
{"instance_id": 37, "shape_A": {"name": "hexagon", "facecolor": [0.669417138841795, 0.811689778412918, 0.34273713541625694], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.55598325042068, 53.30904524979371]}, "shape_B": {"name": "ellipse", "facecolor": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338], "edgecolor": "black", "center": [1.3322676295501878e-15, 3.774758283725532e-16], "size": [33.15762261543205, 21.632665340852334]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_37.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.158, 21.632], "center": [-1.0658141036401502e-15, 7.105427357601002e-16], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [21.631999999999998, 33.158], "center": [8.881784197001253e-17, -8.881784197001253e-17], "color": [0.1479719695077395, 0.22362521174913785, 0.7834764511805218]}, {"name": "ellipse", "size": [15.325999999999997, 12.484000000000002], "center": [8.881784197001253e-17, 2.500000000047464e-05], "color": [0.3003424912815823, 0.8631259147647192, 0.1064968021517172]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [29.999999999999993, -30.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}], "medium": [{"name": "ellipse", "size": [14.113385933164436, 21.632], "center": [-1.1102230246251566e-17, 4.4408920985006264e-17], "color": [0.15004624828972257, 0.4285426176536714, 0.8965813077413666]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [-1.0658141036401502e-15, 7.105427357601002e-16], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [21.631999999999998, 33.158], "center": [8.881784197001253e-17, 0.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [29.999999999999993, -30.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}], "hard": [{"name": "ellipse", "size": [21.631999999999998, 33.158], "center": [8.881784197001253e-17, 8.881784197001253e-17], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [-1.0658141036401502e-15, 7.105427357601002e-16], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [29.999999999999993, -30.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [14.112534652270945, 21.632000000000005], "center": [1.2434497875801752e-15, -4.440892098500626e-16], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [61.556, 53.31], "center": [30.0, -30.0], "color": [0.669417138841795, 0.811689778412918, 0.34273713541625694]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.158, 21.632], "center": [29.999999999999993, -30.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_37.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_37.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_37.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_37.png", "instructions": [["translate", [30, -30]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>\n\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": "C"}
1steps_medium_no_10
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> 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]]
medium
{"instance_id": 10, "shape_A": {"name": "hexagon", "facecolor": [0.5613346831775337, 0.7521337567354232, 0.6493001133859433], "edgecolor": "black", "center": [0.0, -1.7763568394002505e-15], "size": [61.13374027504592, 52.943372106549646]}, "shape_B": {"name": "rectangle", "facecolor": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.21913581933442, 20.199386242127098]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_10.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_10.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_10.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_10.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_10.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_10.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_10.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [31.22, 20.200000000000003], "center": [0.0, -8.881784197001252e-16], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [15.61, 10.099999999999998], "center": [0.0, -1.7763568394002505e-15], "color": [0.9716287699064329, 0.7733185182360919, 0.5332058221647932]}, {"name": "rectangle", "size": [37.136, 33.102], "center": [0.0, -5.551115123125783e-17], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [20.200000000000003, 31.22], "center": [0.0, 0.0], "color": [0.6269330759754167, 0.21078147493552502, 0.6295144839106669]}], "medium": [{"name": "rectangle", "size": [10.1, 15.61], "center": [0.0, 0.0], "color": [0.12323515893349901, 0.005029839074005116, 0.5966548874533303]}, {"name": "rectangle", "size": [31.22, 20.2], "center": [0.0, 0.0], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [37.136, 33.102], "center": [0.0, -5.551115123125783e-17], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [21.417693786034594, 33.102], "center": [0.0, 0.0], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}], "hard": [{"name": "rectangle", "size": [15.61, 10.099999999999998], "center": [0.0, 1.7763568394002505e-15], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [20.2, 31.22], "center": [0.0, 0.0], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [37.136, 33.102], "center": [0.0, -5.551115123125783e-17], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}, {"name": "rectangle", "size": [31.22, 20.200000000000003], "center": [0.0, -8.881784197001252e-16], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [52.944, 61.134], "center": [0.0, 2.9605947323337506e-16], "color": [0.5613346831775337, 0.7521337567354232, 0.6493001133859433]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [37.136, 33.102], "center": [0.0, -5.551115123125783e-17], "color": [0.40341706642467934, 0.34940295086203565, 0.8833967388671174]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_10.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_10.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_10.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_10.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_10.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "C", "medium": "C", "hard": "C"}, "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\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "C", "hard": "C"}
1steps_medium_no_109
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the triangle, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5]]
medium
{"instance_id": 109, "shape_A": {"name": "pentagon", "facecolor": [0.25004868243784584, 0.3344490882933867, 0.11013419630917398], "edgecolor": "black", "center": [-1.4210854715202005e-15, 1.4210854715202005e-15], "size": [57.279941843517925, 60.22769505502394]}, "shape_B": {"name": "triangle", "facecolor": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.887896907284613, 67.20612121141576]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_109.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_109.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_109.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_109.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_109.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_109.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_109.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [15.944, 33.603], "center": [-0.0003333333333337407, 0.0], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [67.20599999999999, 31.888], "center": [-8.716999999999997, 3.148999999999999], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [33.846000000000004, 13.988], "center": [4.600666666666667, 1.9543333333333333], "color": [0.18571979408179173, 0.9284550620067288, 0.527256144459418]}, {"name": "triangle", "size": [27.976, 67.693], "center": [-3.9089999999999994, 9.201500000000001], "color": [0.23980809489011867, 0.9452327715466228, 0.1500723712483537]}], "medium": [{"name": "triangle", "size": [67.206, 31.887999999999998], "center": [-8.717, 3.1489999999999996], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [54.954, 57.492999999999995], "center": [2.776, 3.4944999999999986], "color": [0.994000668557442, 0.8868362255793332, 0.9661530212794897]}, {"name": "triangle", "size": [31.887999999999998, 67.206], "center": [3.1489999999999996, 8.717], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [15.944, 33.603], "center": [-0.0003333333333337407, 0.0], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}], "hard": [{"name": "triangle", "size": [15.943999999999999, 15.239882698763328], "center": [-0.9690972466213266, 0.7698423112378897], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [15.944, 33.603], "center": [-0.0003333333333337407, 0.0], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [67.206, 31.887999999999998], "center": [8.717, -3.1489999999999996], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [27.976, 67.693], "center": [-3.9089999999999994, 9.201500000000001], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [28.64, 30.114], "center": [1.7763568394002506e-16, 0.0], "color": [0.25004868243784584, 0.3344490882933867, 0.11013419630917398]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [15.944, 33.603], "center": [-0.0003333333333337407, 0.0], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_109.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_109.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_109.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_109.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "B"}
1steps_medium_no_116
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5]]
medium
{"instance_id": 116, "shape_A": {"name": "rectangle", "facecolor": [0.7679416466337821, 0.3206416660631617, 0.6305772870412071], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.79956756943916, 20.823049936494733]}, "shape_B": {"name": "hexagon", "facecolor": [0.3284032590596546, 0.48219689883106154, 0.9029032553890043], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [63.14733775136588, 54.68719867403897]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_116.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_116.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_116.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_116.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_116.png", "answer_choices": {"medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_116.png"}, "answer_choices_info": {"medium": [{"name": "hexagon", "size": [40.022, 39.084], "center": [-1.4802973661668753e-16, 0.0], "color": [0.3284032590596546, 0.48219689883106154, 0.9029032553890043]}, {"name": "hexagon", "size": [63.148, 54.688], "center": [-5.921189464667501e-16, 0.0], "color": [0.7262822591789593, 0.6589628469464168, 0.49565921735878793]}, {"name": "hexagon", "size": [54.688, 63.148], "center": [0.0, 2.9605947323337506e-16], "color": [0.3284032590596546, 0.48219689883106154, 0.9029032553890043]}, {"name": "hexagon", "size": [31.574, 27.344], "center": [-2.9605947323337506e-16, 0.0], "color": [0.3284032590596546, 0.48219689883106154, 0.9029032553890043]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [15.4, 10.412], "center": [0.0, 0.0], "color": [0.7679416466337821, 0.3206416660631617, 0.6305772870412071]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [31.574, 27.344], "center": [-2.9605947323337506e-16, 0.0], "color": [0.3284032590596546, 0.48219689883106154, 0.9029032553890043]}], "individual_answer_choices_path": {"medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_116.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_116.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_116.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_116.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_116.png", "instructions": [["scale", 0.5]], "correct_answer": {"medium": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"medium": "D"}
1steps_medium_no_110
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5]]
medium
{"instance_id": 110, "shape_A": {"name": "square", "facecolor": [0.4252919163020703, 0.8847979142498625, 0.2420995282585654], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.3714474106758, 31.3714474106758]}, "shape_B": {"name": "rectangle", "facecolor": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.47749790823757, 21.613553115501944]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_110.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_110.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_110.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_110.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_110.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_110.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_110.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [21.614, 33.478], "center": [-1.7763568394002505e-15, 3.552713678800501e-15], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [16.738, 10.806], "center": [0.0, 0.0], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [33.478, 21.614], "center": [0.0, 0.0], "color": [0.4265712686029307, 0.7717651006598091, 0.15623669949249375]}, {"name": "rectangle", "size": [35.456, 39.8], "center": [0.0, 0.0], "color": [0.9511658799857805, 0.8366830664978898, 0.07650318492770924]}], "medium": [{"name": "rectangle", "size": [33.477999999999994, 21.613999999999997], "center": [1.7763568394002505e-15, 8.881784197001252e-16], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [21.614, 33.478], "center": [0.0, 0.0], "color": [0.5021901731745965, 0.5306376164175666, 0.44691258467675354]}, {"name": "rectangle", "size": [21.16, 20.304], "center": [0.0, 2.7755575615628914e-17], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [16.738, 10.806], "center": [0.0, 0.0], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}], "hard": [{"name": "rectangle", "size": [33.477999999999994, 21.613999999999997], "center": [1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [21.612, 33.476], "center": [0.0, 0.0], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [16.738, 10.806], "center": [0.0, 0.0], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}, {"name": "rectangle", "size": [39.8, 35.456], "center": [0.0, 0.0], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [15.686, 15.686], "center": [0.0, 0.0], "color": [0.4252919163020703, 0.8847979142498625, 0.2420995282585654]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [16.738, 10.806], "center": [0.0, 0.0], "color": [0.10518620727147365, 0.6835961938789619, 0.9464791081575031]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_110.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_110.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_110.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_110.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_110.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n\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": "C"}
1steps_medium_no_12
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square a little to the left and significantly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [-10, -30]]]
medium
{"instance_id": 12, "shape_A": {"name": "hexagon", "facecolor": [0.16199948894698535, 0.22821793938787327, 0.3168782416955612], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [61.83886199103384, 53.55402542535525]}, "shape_B": {"name": "square", "facecolor": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.22449193823986, 32.22449193823986]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_12.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_12.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_12.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_12.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [22.01, 22.009999999999998], "center": [0.00024999999999997247, -0.00024999999999986144], "color": [0.5484337438182938, 0.026364913366241027, 0.39701252076016946]}, {"name": "square", "size": [32.224000000000004, 32.224000000000004], "center": [1.7763568394002505e-15, 0.0], "color": [0.7649963721335957, 0.08325120139068665, 0.26245226426498713]}, {"name": "square", "size": [44.018, 44.018], "center": [4.440892098500626e-16, 0.0], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}, {"name": "square", "size": [32.224, 32.224000000000004], "center": [-10.0, -30.000000000000004], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}], "medium": [{"name": "square", "size": [32.224, 32.224000000000004], "center": [-10.0, -30.000000000000004], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}, {"name": "square", "size": [32.224000000000004, 32.224000000000004], "center": [1.7763568394002505e-15, 0.0], "color": [0.9469575118681244, 0.47706707045145713, 0.009132599576333167]}, {"name": "square", "size": [44.02, 44.02], "center": [-8.881784197001252e-16, -4.440892098500626e-16], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}, {"name": "square", "size": [22.01, 22.01], "center": [0.0, 0.0], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}], "hard": [{"name": "square", "size": [22.01, 22.009999999999998], "center": [0.0, 0.0], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}, {"name": "square", "size": [44.019999999999996, 44.019999999999996], "center": [-4.440892098500626e-16, 0.0], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}, {"name": "square", "size": [32.224, 32.224000000000004], "center": [-10.0, -30.000000000000004], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}, {"name": "square", "size": [32.224000000000004, 32.224000000000004], "center": [1.7763568394002505e-15, 0.0], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [61.837999999999994, 53.554], "center": [-10.000000000000002, -30.0], "color": [0.16199948894698535, 0.22821793938787327, 0.3168782416955612]}], "tranformed_B_sequence_info": [{"name": "square", "size": [32.224, 32.224000000000004], "center": [-10.0, -30.000000000000004], "color": [0.8896324491382205, 0.38107099841284575, 0.2865235765557891]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_12.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_12.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_12.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_12.png", "instructions": [["translate", [-10, -30]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square a little to the left and significantly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "C"}
1steps_medium_no_48
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [0, -10]]]
medium
{"instance_id": 48, "shape_A": {"name": "pentagon", "facecolor": [0.1253063881148132, 0.8897634443373729, 0.21780396001199154], "edgecolor": "black", "center": [-1.0658141036401502e-15, 0.0], "size": [58.41746665608559, 61.42375942457255]}, "shape_B": {"name": "square", "facecolor": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.24139023903668, 34.24139023903668]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_48.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [23.388, 23.388], "center": [-2.220446049250313e-16, 4.440892098500626e-16], "color": [0.31310360323715114, 0.1300078846428092, 0.39116299289200374]}, {"name": "square", "size": [46.774, 46.774], "center": [-2.220446049250313e-16, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242000000000004], "center": [0.0, 1.7763568394002505e-15], "color": [0.28586906273490087, 0.4593785072657385, 0.2547711669189501]}, {"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}], "medium": [{"name": "square", "size": [46.774, 46.774], "center": [4.440892098500626e-16, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242000000000004], "center": [0.0, 1.7763568394002505e-15], "color": [0.005618599334409224, 0.7643054273655655, 0.5410138633533258]}, {"name": "square", "size": [23.388, 23.387999999999998], "center": [0.0002499999999997504, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}], "hard": [{"name": "square", "size": [23.387999999999998, 23.387999999999998], "center": [0.0, 2.220446049250313e-16], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [46.775999999999996, 46.775999999999996], "center": [-8.881784197001252e-16, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242000000000004], "center": [0.0, 1.7763568394002505e-15], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [58.417, 61.42400000000001], "center": [0.0, -10.000000000000002], "color": [0.1253063881148132, 0.8897634443373729, 0.21780396001199154]}], "tranformed_B_sequence_info": [{"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_48.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_48.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_48.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_48.png", "instructions": [["translate", [0, -10]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "B", "hard": "B"}
1steps_medium_no_58
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right and slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [10, -10]]]
medium
{"instance_id": 58, "shape_A": {"name": "circle", "facecolor": [0.39441899337053987, 0.8314752779425982, 0.4433840218168307], "edgecolor": "black", "center": [-2.6645352591003756e-16, -2.264854970235319e-15], "size": [63.707355392203894, 63.707355392203894]}, "shape_B": {"name": "hexagon", "facecolor": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.91886238919145, 57.087409417610374]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_58.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [-2.3684757858670005e-15, 0.0], "color": [0.010323368122617582, 0.5724429065403671, 0.228269170694268]}, {"name": "hexagon", "size": [28.544, 32.96], "center": [0.0, -5.921189464667501e-16], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [10.0, -9.999999999999998], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [57.087999999999994, 65.918], "center": [-1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.2183886372202004, 0.525721577653499, 0.939392949297939]}], "medium": [{"name": "hexagon", "size": [57.087999999999994, 65.918], "center": [0.0, -1.7763568394002505e-15], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [10.0, -9.999999999999998], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [61.298, 75.166], "center": [-4.440892098500626e-16, 0.0], "color": [0.26866823692135844, 0.42840064153749335, 0.3352411150644017]}, {"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [-2.3684757858670005e-15, 0.0], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}], "hard": [{"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [-2.3684757858670005e-15, 0.0], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [32.96, 28.543999999999997], "center": [-8.881784197001252e-16, 5.921189464667501e-16], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [49.43931650485437, 57.087999999999994], "center": [0.0, -1.1842378929335002e-15], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [10.0, -9.999999999999998], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [63.708, 63.708], "center": [9.999999999999998, -9.999999999999998], "color": [0.39441899337053987, 0.8314752779425982, 0.4433840218168307]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [10.0, -9.999999999999998], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_58.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_58.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_58.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_58.png", "instructions": [["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "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 right and slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "B", "hard": "D"}
1steps_medium_no_46
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> 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]]
medium
{"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.7147347733928225, 0.10796046430355977, 0.2133437952034949], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.510440837427673, 20.723222801915657]}, "shape_B": {"name": "circle", "facecolor": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783], "edgecolor": "black", "center": [-1.7763568394002506e-16, 4.662936703425658e-16], "size": [69.06429081828506, 69.06429081828506]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_46.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [83.06, 80.728], "center": [1.7763568394002506e-16, 7.993605777301127e-16], "color": [0.5459150181873522, 0.6164681662855144, 0.5384037540659804]}, {"name": "circle", "size": [34.532, 34.532], "center": [8.881784197001253e-17, -1.0103029524088924e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [91.243, 98.908], "center": [4.999999999393268e-05, 1.3322676295501878e-16], "color": [0.9191167234966132, 0.626590098265795, 0.9471849297361556]}], "medium": [{"name": "circle", "size": [34.532, 34.532], "center": [8.881784197001253e-17, -1.0103029524088924e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [122.804, 67.472], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [90.905, 88.128], "center": [2.5000000003672086e-05, 5.000000000370264e-05], "color": [0.4104603011161263, 0.32687448553128473, 0.4358039890388459]}], "hard": [{"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [85.76, 125.992], "center": [-1.0880185641326535e-15, 0.0], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [78.176, 76.02], "center": [3.0198066269804257e-15, 7.549516567451064e-16], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [16.14585625268586, 68.97], "center": [1.7763568394002506e-16, 4.884981308350689e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [37.65, 33.702], "center": [0.0, 0.0], "color": [0.7147347733928225, 0.10796046430355977, 0.2133437952034949]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_46.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_46.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_46.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "A", "medium": "C", "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\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"}
1steps_medium_no_47
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> 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]]
medium
{"instance_id": 47, "shape_A": {"name": "hexagon", "facecolor": [0.24092356595135767, 0.5957564199219111, 0.14708356214039675], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [61.55003554260725, 53.303894383732995]}, "shape_B": {"name": "ellipse", "facecolor": [0.7556517639037095, 0.8004530573340279, 0.6695181080736113], "edgecolor": "black", "center": [-7.993605777301127e-16, 2.331468351712829e-16], "size": [32.93162921546749, 22.57246232689959]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_47.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_47.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_47.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_47.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_47.png", "answer_choices": {"medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_47.png"}, "answer_choices_info": {"medium": [{"name": "ellipse", "size": [30.612, 25.494], "center": [8.881784197001253e-17, 3.3306690738754696e-16], "color": [0.7556517639037095, 0.8004530573340279, 0.6695181080736113]}, {"name": "ellipse", "size": [22.572, 32.932], "center": [1.887379141862766e-16, 1.7763568394002506e-16], "color": [0.7556517639037095, 0.8004530573340279, 0.6695181080736113]}, {"name": "ellipse", "size": [14.53, 44.58], "center": [9.992007221626409e-17, 1.6875389974302379e-15], "color": [0.7556517639037095, 0.8004530573340279, 0.6695181080736113]}, {"name": "ellipse", "size": [16.466, 11.286000000000001], "center": [-9.999999999990016e-05, -0.00014999999999973924], "color": [0.7849116401033597, 0.5279544832861411, 0.5399356144178586]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [53.304, 61.55], "center": [0.0, -2.9605947323337506e-16], "color": [0.24092356595135767, 0.5957564199219111, 0.14708356214039675]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [30.612, 25.494], "center": [8.881784197001253e-17, 3.3306690738754696e-16], "color": [0.7556517639037095, 0.8004530573340279, 0.6695181080736113]}], "individual_answer_choices_path": {"medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_47.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_47.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_47.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_47.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_47.png", "instructions": [["rotate", 30]], "correct_answer": {"medium": "A"}, "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\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"medium": "A"}
1steps_medium_no_45
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the left and slightly upward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [-10, 10]]]
medium
{"instance_id": 45, "shape_A": {"name": "ellipse", "facecolor": [0.04229692560077969, 0.6105584026042313, 0.5018360319576993], "edgecolor": "black", "center": [-6.217248937900876e-16, -3.774758283725532e-16], "size": [32.95158577855741, 23.42577856482111]}, "shape_B": {"name": "hexagon", "facecolor": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.13665303696516, 59.00807245885795]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_45.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_45.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_45.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_45.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_45.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_45.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_45.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [0.0, 0.0], "color": [0.4798918781505368, 0.2661741245407, 0.23329888158229328]}, {"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [-9.999999999999998, 9.999999999999998], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [59.008, 68.136], "center": [0.0, 0.0], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [29.504, 34.068], "center": [0.0, 0.0], "color": [0.17419542195048254, 0.3223195406563111, 0.18301533319752972]}], "medium": [{"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [-9.999999999999998, 9.999999999999998], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [0.0, 0.0], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [59.007999999999996, 68.136], "center": [-1.1842378929335002e-15, 0.0], "color": [0.5710876284752487, 0.4403535945156153, 0.5068479878738469]}, {"name": "hexagon", "size": [29.503999999999998, 34.068], "center": [0.0, 1.1842378929335002e-15], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}], "hard": [{"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [0.0, 0.0], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [29.503999999999998, 34.068], "center": [0.0, -1.1842378929335002e-15], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [51.10285405659269, 59.007999999999996], "center": [-1.1842378929335002e-15, -2.0724163126336257e-15], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [-9.999999999999998, 9.999999999999998], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.952, 23.426000000000002], "center": [-10.0, 10.0], "color": [0.04229692560077969, 0.6105584026042313, 0.5018360319576993]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [-9.999999999999998, 9.999999999999998], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_45.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_45.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_45.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_45.png", "instructions": [["translate", [-10, 10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "D"}
1steps_medium_no_85
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['scale', 0.5]]
medium
{"instance_id": 85, "shape_A": {"name": "triangle", "facecolor": [0.9040285740471566, 0.3453132671999223, 0.9530303472757722], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [53.1961517479365, 38.33117053960915]}, "shape_B": {"name": "rectangle", "facecolor": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.90548644315825, 21.67505696738293]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_85.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_85.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_85.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_85.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_85.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_85.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_85.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [21.676000000000002, 31.906000000000002], "center": [-8.881784197001252e-16, -1.7763568394002505e-15], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [15.952, 10.838], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [31.906, 21.676], "center": [0.0, 0.0], "color": [0.23054815990551825, 0.9929094110270736, 0.12951847277170814]}, {"name": "rectangle", "size": [45.974, 36.566], "center": [0.0, 1.1102230246251565e-16], "color": [0.5327902134036759, 0.3549524001564982, 0.4002468374322419]}], "medium": [{"name": "rectangle", "size": [15.952, 10.838], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [21.676, 31.906], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [29.584, 39.834], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [31.906, 21.676000000000002], "center": [0.0, -8.881784197001252e-16], "color": [0.22094841750882754, 0.45681420425779473, 0.9101784125506043]}], "hard": [{"name": "rectangle", "size": [31.904, 21.676000000000002], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [15.952, 10.838], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [21.676, 31.906], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [38.72, 38.45], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [26.598, 19.166], "center": [0.0, 0.0], "color": [0.9040285740471566, 0.3453132671999223, 0.9530303472757722]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [15.952, 10.838], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_85.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_85.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_85.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_85.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "B"}
1steps_medium_no_34
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
medium
{"instance_id": 34, "shape_A": {"name": "square", "facecolor": [0.03803125644545802, 0.3880638493931169, 0.08360802950368373], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.254010830888145, 31.254010830888145]}, "shape_B": {"name": "hexagon", "facecolor": [0.9745076014769779, 0.768549212891097, 0.7249101573073962], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.46821289448482, 60.16123712212956]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_34.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [34.734, 30.08], "center": [5.921189464667501e-16, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [69.468, 60.162000000000006], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.038430021282184645, 0.901519612251167, 0.6843166070704308]}, {"name": "hexagon", "size": [79.014, 52.524], "center": [-2.9605947323337506e-16, 0.0], "color": [0.005901607731084391, 0.003420953174767316, 0.0584175423808847]}, {"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}], "medium": [{"name": "hexagon", "size": [30.08, 34.734], "center": [0.0, 0.00033333333333344467], "color": [0.33150863537640063, 0.08994697267781104, 0.9315626464918535]}, {"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [69.468, 60.162000000000006], "center": [-1.1842378929335002e-15, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [60.162000000000006, 52.102640697875295], "center": [-8.881784197001252e-16, 2.3684757858670005e-15], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}], "hard": [{"name": "hexagon", "size": [69.468, 60.162], "center": [1.1842378929335002e-15, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [72.942, 74.628], "center": [-8.881784197001252e-16, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [60.162000000000006, 52.10264069787529], "center": [-8.881784197001252e-16, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [42.694, 42.694], "center": [0.0, 2.220446049250313e-16], "color": [0.03803125644545802, 0.3880638493931169, 0.08360802950368373]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_34.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_34.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_34.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_34.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "D", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "B", "hard": "C"}
1steps_medium_no_82
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
medium
{"instance_id": 82, "shape_A": {"name": "hexagon", "facecolor": [0.608152936633627, 0.6600502477660397, 0.3680908863446112], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.24210143808655, 54.76926643409533]}, "shape_B": {"name": "triangle", "facecolor": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448], "edgecolor": "black", "center": [-1.1842378929335002e-15, -5.921189464667501e-16], "size": [35.52957755019723, 54.61907480863481]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_82.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_82.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_82.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_82.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_82.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_82.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_82.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [9.497, 61.862], "center": [-0.8864999999999998, 9.099], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [0.0, 0.0], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [56.938, 63.007], "center": [-5.25, 9.6705], "color": [0.9424042139435632, 0.8942200740332531, 0.7736401224851124]}, {"name": "triangle", "size": [35.53, 54.619], "center": [3.786, -6.471166666666666], "color": [0.6452377287783989, 0.5006236669721122, 0.7748420369573492]}], "medium": [{"name": "triangle", "size": [9.497, 14.599398902336052], "center": [-1.0119797917253024, 1.7297120696125354], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [27.064999999999998, 16.37], "center": [4.2441666666666675, 1.0546666666666666], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [0.0, 0.0], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [-0.8864999999999998, 9.099], "color": [0.1723028698824005, 0.9371921203401827, 0.7857739043871413]}], "hard": [{"name": "triangle", "size": [9.497, 14.599398902336054], "center": [1.0119797917253024, -1.729712069612533], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [54.131, 32.741], "center": [-8.4885, -2.1095], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [0.0, 0.0], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [-0.8864999999999998, 9.099], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [54.77, 63.242], "center": [0.0, 5.921189464667501e-16], "color": [0.608152936633627, 0.6600502477660397, 0.3680908863446112]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [9.497, 61.862], "center": [0.0, 0.0], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_82.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_82.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_82.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_82.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n\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": "C"}
1steps_medium_no_77
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the left and slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-10, -10]]]
medium
{"instance_id": 77, "shape_A": {"name": "ellipse", "facecolor": [0.1493458985082209, 0.002669375180722966, 0.13373432313340528], "edgecolor": "black", "center": [-1.7763568394002506e-16, 7.327471962526033e-16], "size": [33.81016224205581, 21.04670307149107]}, "shape_B": {"name": "hexagon", "facecolor": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.955599391925865, 55.3871737876684]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_77.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_77.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_77.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_77.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_77.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_77.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_77.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-5.921189464667501e-16, 0.0], "color": [0.12882131657953866, 0.8771134627827869, 0.20799123264910058]}, {"name": "hexagon", "size": [31.978, 34.260999999999996], "center": [2.9605947323337506e-16, 0.00033333333333433285], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [55.388000000000005, 63.956], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.6886355916989308, 0.7685835008020164, 0.710005291766658]}], "medium": [{"name": "hexagon", "size": [47.967830133216594, 55.388000000000005], "center": [1.1842378929335002e-15, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [72.838, 73.832], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-5.921189464667501e-16, 0.0], "color": [0.22111353370523357, 0.42202687144453677, 0.8998520060223312]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}], "hard": [{"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [31.977999999999998, 27.694000000000003], "center": [5.921189464667501e-16, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-5.921189464667501e-16, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [73.072, 63.956], "center": [1.1842378929335002e-15, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.81, 21.046], "center": [-10.0, -10.0], "color": [0.1493458985082209, 0.002669375180722966, 0.13373432313340528]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_77.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_77.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_77.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_77.png", "instructions": [["translate", [-10, -10]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "A"}
1steps_medium_no_21
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['scale', 0.5]]
medium
{"instance_id": 21, "shape_A": {"name": "ellipse", "facecolor": [0.4940113214438937, 0.5517851873768139, 0.6598384211869152], "edgecolor": "black", "center": [6.661338147750939e-16, -4.4408920985006264e-17], "size": [30.959257738577843, 23.389893584814573]}, "shape_B": {"name": "rectangle", "facecolor": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.139825876094516, 22.615399797592268]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_21.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_21.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_21.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_21.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_21.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_21.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_21.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [31.14, 22.616], "center": [0.0, 0.0], "color": [0.4665867276160025, 0.3614718431029983, 0.7590217146535565]}, {"name": "rectangle", "size": [51.846000000000004, 48.586], "center": [-4.440892098500626e-16, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [35.156, 38.275999999999996], "center": [2.220446049250313e-16, 0.0], "color": [0.8838024416656812, 0.22454820608321313, 0.27793303071254105]}], "medium": [{"name": "rectangle", "size": [35.156, 38.276], "center": [0.0, 0.0], "color": [0.6775644574745741, 0.559258051605546, 0.2949167702341773]}, {"name": "rectangle", "size": [45.964, 37.494], "center": [0.0, 8.881784197001252e-16], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [31.14, 22.616], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}], "hard": [{"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [31.14, 22.616], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [3.4622966962699824, 11.308], "center": [2.7755575615628914e-17, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [38.276, 35.156], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [15.48, 11.694], "center": [-1.9984014443252818e-16, 2.2204460492503132e-17], "color": [0.4940113214438937, 0.5517851873768139, 0.6598384211869152]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_21.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_21.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_21.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_21.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n\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"}
1steps_medium_no_68
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['scale', 0.5]]
medium
{"instance_id": 68, "shape_A": {"name": "pentagon", "facecolor": [0.05111255886832311, 0.3634773753278716, 0.22344445085920173], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [61.49017300075138, 64.65459407216589]}, "shape_B": {"name": "hexagon", "facecolor": [0.1831786469081368, 0.6678379278178961, 0.111009498625254], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.76799138195648, 60.42085290778809]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_68.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_68.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_68.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_68.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_68.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_68.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [90.464, 88.554], "center": [0.0, 0.0], "color": [0.473906302351333, 0.5438162672907193, 0.10765355390111453]}, {"name": "hexagon", "size": [69.768, 60.42], "center": [0.0, 0.0], "color": [0.1831786469081368, 0.6678379278178961, 0.111009498625254]}, {"name": "hexagon", "size": [34.884, 30.21], "center": [0.0, 0.0], "color": [0.1831786469081368, 0.6678379278178961, 0.111009498625254]}, {"name": "hexagon", "size": [60.42, 69.768], "center": [0.0, 0.0], "color": [0.45562750995007406, 0.24745073498980585, 0.25017979283087877]}], "medium": [{"name": "hexagon", "size": [33.758, 108.854], "center": [0.0, 5.921189464667501e-16], "color": [0.8418529065501743, 0.14125458661696566, 0.6143836981310041]}, {"name": "hexagon", "size": [34.884, 30.21], "center": [0.0, 0.0], "color": [0.1831786469081368, 0.6678379278178961, 0.111009498625254]}, {"name": "hexagon", "size": [60.42, 69.768], "center": [0.0, 0.0], "color": [0.1831786469081368, 0.6678379278178961, 0.111009498625254]}, {"name": "hexagon", "size": [69.768, 60.42], "center": [0.0, 0.0], "color": [0.1831786469081368, 0.6678379278178961, 0.111009498625254]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [30.745, 32.328], "center": [-0.0002000000000000668, 0.0], "color": [0.05111255886832311, 0.3634773753278716, 0.22344445085920173]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [34.884, 30.21], "center": [0.0, 0.0], "color": [0.1831786469081368, 0.6678379278178961, 0.111009498625254]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_68.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_68.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_68.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n\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"}
1steps_medium_no_31
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Reduce the size of the ellipse, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['scale', 0.5]]
medium
{"instance_id": 31, "shape_A": {"name": "square", "facecolor": [0.27267940346189623, 0.407182791882279, 0.018718948826570547], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.94519756270956, 31.94519756270956]}, "shape_B": {"name": "ellipse", "facecolor": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085], "edgecolor": "black", "center": [7.105427357601002e-16, 5.551115123125783e-18], "size": [31.73183157379287, 22.22191531776557]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_31.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_31.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_31.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_31.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_31.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_31.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [24.895999999999994, 29.568], "center": [-1.0658141036401502e-15, 4.440892098500626e-16], "color": [0.30403273025023214, 0.7508575194726741, 0.4514991840310496]}, {"name": "ellipse", "size": [15.866, 11.11], "center": [1.554312234475219e-16, -7.216449660063518e-17], "color": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085]}, {"name": "ellipse", "size": [31.732, 22.222], "center": [0.0, -3.4416913763379854e-16], "color": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085]}, {"name": "ellipse", "size": [27.244, 40.404], "center": [5.551115123125783e-16, -1.7763568394002506e-16], "color": [0.08309199815654156, 0.7480108960335597, 0.5295917493789751]}], "medium": [{"name": "ellipse", "size": [38.56399999999999, 33.366], "center": [-4.440892098500626e-16, -1.3322676295501878e-15], "color": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085]}, {"name": "ellipse", "size": [31.732, 22.222], "center": [0.0, -3.774758283725532e-16], "color": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085]}, {"name": "ellipse", "size": [15.866, 11.11], "center": [1.554312234475219e-16, -7.216449660063518e-17], "color": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085]}, {"name": "ellipse", "size": [22.222, 31.732], "center": [-3.4416913763379854e-16, -7.549516567451064e-16], "color": [0.5676399293087019, 0.3047413637882831, 0.7130788373936887]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [15.972, 15.972], "center": [0.0, 0.0], "color": [0.27267940346189623, 0.407182791882279, 0.018718948826570547]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [15.866, 11.11], "center": [1.554312234475219e-16, -7.216449660063518e-17], "color": [0.22132368553299286, 0.018072923339966684, 0.32460883424474085]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_31.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_31.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_31.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_31.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C"}, "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\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"}
1steps_medium_no_103
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle slightly upward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [0, 10]]]
medium
{"instance_id": 103, "shape_A": {"name": "triangle", "facecolor": [0.05722612704298535, 0.8298736681966631, 0.937353839509715], "edgecolor": "black", "center": [0.0, 0.0], "size": [22.371869095175686, 56.46881166482237]}, "shape_B": {"name": "rectangle", "facecolor": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.41651252855117, 21.44470148746504]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_103.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_103.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_103.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_103.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_103.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_103.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_103.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [17.39, 19.398], "center": [1.6653345369377348e-16, 0.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 10.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 8.881784197001252e-16], "color": [0.4048613114434265, 0.9456287548311954, 0.44248332928941037]}, {"name": "rectangle", "size": [17.430000000000003, 53.39], "center": [-1.7763568394002505e-15, 0.0], "color": [0.21912192846654388, 0.378445556235397, 0.058050973471158396]}], "medium": [{"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 10.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [16.208, 10.722000000000001], "center": [0.0, 0.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [19.224206619239098, 21.444000000000003], "center": [0.0, 0.0], "color": [0.6098141508546776, 0.8791873749108009, 0.5151428299400022]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 8.881784197001252e-16], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}], "hard": [{"name": "rectangle", "size": [16.208, 10.721999999999998], "center": [0.0, 1.7763568394002505e-15], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 8.881784197001252e-16], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [8.622, 28.29], "center": [0.0, 1.1102230246251565e-16], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 10.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [22.372, 56.468], "center": [5.921189464667501e-16, 10.0], "color": [0.05722612704298535, 0.8298736681966631, 0.937353839509715]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 10.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_103.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_103.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_103.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_103.png", "instructions": [["translate", [0, 10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "D"}
1steps_medium_no_108
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> 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]]]
medium
{"instance_id": 108, "shape_A": {"name": "triangle", "facecolor": [0.8937570484449084, 0.9616667378039948, 0.0992994006184097], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [47.74080165466784, 47.10369983131548]}, "shape_B": {"name": "hexagon", "facecolor": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [60.37170257898652, 52.28342810312084]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_108.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_108.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_108.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_108.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_108.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_108.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_108.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-10.0, 30.0], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [30.186, 26.142000000000003], "center": [-0.00033333333333344467, -5.921189464667501e-16], "color": [0.6859036235039079, 0.4533768674936671, 0.923529798392754]}, {"name": "hexagon", "size": [52.284000000000006, 60.372], "center": [-2.9605947323337506e-16, -1.1842378929335002e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.7544279709285733, 0.5785639287374191, 0.19501090511024666]}], "medium": [{"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-10.0, 30.0], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [45.27954442456768, 52.284000000000006], "center": [-1.7763568394002505e-15, 4.736951571734001e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [26.142, 30.186], "center": [0.0, 0.0], "color": [0.7535211475827056, 0.21668512672024398, 0.41109096249185484]}], "hard": [{"name": "hexagon", "size": [45.27954442456769, 52.284000000000006], "center": [0.0, 5.921189464667501e-16], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [52.284, 60.372], "center": [0.0, 1.7763568394002505e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-10.0, 30.0], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [47.741, 47.103], "center": [-9.999666666666668, 30.0], "color": [0.8937570484449084, 0.9616667378039948, 0.0992994006184097]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-10.0, 30.0], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_108.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_108.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_108.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_108.png", "instructions": [["translate", [-10, 30]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "C"}, "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\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": "C"}
1steps_medium_no_115
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the left. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-10, 0]]]
medium
{"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.4014934934072535, 0.7380168925851729, 0.3814164165428119], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.732742929758466, 31.732742929758466]}, "shape_B": {"name": "triangle", "facecolor": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015], "edgecolor": "black", "center": [0.0, 1.7763568394002505e-15], "size": [59.520802591828854, 19.37818540373977]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_115.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_115.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_115.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [47.522, 43.075], "center": [4.029999999999999, -5.064500000000002], "color": [0.9016738106658976, 0.21996315886032403, 0.35994727594242615]}, {"name": "triangle", "size": [59.521, 19.378], "center": [7.6081666666666665, 0.5466666666666669], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [25.814999999999998, 93.245], "center": [4.2045, -13.704833333333333], "color": [0.6533812285260087, 0.044091302373809094, 0.534874752743609]}, {"name": "triangle", "size": [59.521, 19.378], "center": [-10.000333333333332, -0.0003333333333337407], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}], "medium": [{"name": "triangle", "size": [26.875, 94.314], "center": [-3.5225000000000004, -14.313], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [19.378, 59.52], "center": [-0.5470000000000003, 7.608], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [59.521, 19.378], "center": [7.6081666666666665, 0.5466666666666669], "color": [0.9209770819782677, 0.4822186514671657, 0.04574075664183952]}, {"name": "triangle", "size": [59.521, 19.378], "center": [-10.000333333333332, -0.0003333333333337407], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}], "hard": [{"name": "triangle", "size": [47.25119956121105, 19.378], "center": [7.778267412607868, -0.5339791136463367], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [59.521, 19.378], "center": [-10.000333333333332, -0.0003333333333337407], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [6.308919422043008, 19.378], "center": [0.178087466397848, -2.4769459677419334], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [59.521, 19.378], "center": [7.6081666666666665, 0.5466666666666669], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.732, 31.732], "center": [-10.0, 0.0], "color": [0.4014934934072535, 0.7380168925851729, 0.3814164165428119]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [59.521, 19.378], "center": [-10.000333333333332, -0.0003333333333337407], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_115.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_115.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_115.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_115.png", "instructions": [["translate", [-10, 0]]], "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 a little to the left. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "B"}
1steps_medium_no_92
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
medium
{"instance_id": 92, "shape_A": {"name": "pentagon", "facecolor": [0.1607369038590769, 0.2777349986633574, 0.47655150461811324], "edgecolor": "black", "center": [-7.105427357601002e-16, 7.105427357601002e-16], "size": [60.10640260630789, 63.19961177538927]}, "shape_B": {"name": "triangle", "facecolor": [0.464719285490228, 0.07645657009476925, 0.7898339421531791], "edgecolor": "black", "center": [1.1842378929335002e-15, 5.921189464667501e-16], "size": [19.872398895765386, 62.92499887193014]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_92.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_92.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_92.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_92.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_92.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_92.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_92.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [24.796999999999997, 20.192], "center": [4.0915, -0.4349999999999987], "color": [0.9071726617867343, 0.10604306882047188, 0.984459404195346]}, {"name": "triangle", "size": [40.383, 49.595], "center": [0.8704999999999999, 8.1825], "color": [0.6375600645340186, 0.2384259750073766, 0.3912976214311471]}, {"name": "triangle", "size": [19.872999999999998, 62.925], "center": [0.12149999999999987, -6.7591666666666645], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}, {"name": "triangle", "size": [40.383, 49.595], "center": [1.4802973661668753e-16, 0.0], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}], "medium": [{"name": "triangle", "size": [62.925, 19.873], "center": [-6.759166666666668, 0.1214999999999975], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}, {"name": "triangle", "size": [9.936, 31.462000000000003], "center": [0.06066666666666679, 3.3796666666666666], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}, {"name": "triangle", "size": [40.383, 49.595], "center": [0.8704999999999999, 8.1825], "color": [0.9635339128590187, 0.07470343088901232, 0.355115482190399]}, {"name": "triangle", "size": [40.383, 49.595], "center": [1.4802973661668753e-16, 0.0], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}], "hard": [{"name": "triangle", "size": [40.383, 49.595], "center": [1.4802973661668753e-16, 0.0], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}, {"name": "triangle", "size": [40.383, 49.595], "center": [0.8704999999999999, 8.1825], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}, {"name": "triangle", "size": [59.645, 34.159], "center": [3.3998333333333335, -1.8204999999999991], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}, {"name": "triangle", "size": [24.796999999999997, 20.191000000000003], "center": [4.0915, -0.43516666666666676], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [61.818999999999996, 62.853], "center": [0.00020000000000024442, -7.105427357601002e-16], "color": [0.1607369038590769, 0.2777349986633574, 0.47655150461811324]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [40.383, 49.595], "center": [1.4802973661668753e-16, 0.0], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_92.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_92.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_92.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_92.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "A"}
1steps_medium_no_71
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Reduce the size of the ellipse, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['scale', 0.5]]
medium
{"instance_id": 71, "shape_A": {"name": "rectangle", "facecolor": [0.5290781348463351, 0.6314271932169054, 0.4965693471799434], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.517295949207124, 20.789503237074882]}, "shape_B": {"name": "ellipse", "facecolor": [0.011122430453171406, 0.5687030645489286, 0.13915230827069813], "edgecolor": "black", "center": [-2.6645352591003756e-16, -3.608224830031759e-16], "size": [34.80081553181218, 23.305040838692435]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_71.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_71.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_71.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_71.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_71.png", "answer_choices": {"medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_71.png"}, "answer_choices_info": {"medium": [{"name": "ellipse", "size": [17.4, 11.652], "center": [3.108624468950438e-16, 1.4988010832439614e-16], "color": [0.011122430453171406, 0.5687030645489286, 0.13915230827069813]}, {"name": "ellipse", "size": [51.244, 10.962000000000003], "center": [-1.4210854715202005e-15, 3.552713678800501e-16], "color": [0.011122430453171406, 0.5687030645489286, 0.13915230827069813]}, {"name": "ellipse", "size": [23.305999999999997, 34.8], "center": [1.7763568394002506e-16, 5.329070518200751e-16], "color": [0.011122430453171406, 0.5687030645489286, 0.13915230827069813]}, {"name": "ellipse", "size": [34.8, 23.306], "center": [-1.5987211554602255e-15, 5.551115123125783e-17], "color": [0.839030465097665, 0.6519137182669065, 0.7899089352570176]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [16.758, 10.394], "center": [0.0, 0.0], "color": [0.5290781348463351, 0.6314271932169054, 0.4965693471799434]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [17.4, 11.652], "center": [3.108624468950438e-16, 1.4988010832439614e-16], "color": [0.011122430453171406, 0.5687030645489286, 0.13915230827069813]}], "individual_answer_choices_path": {"medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_71.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_71.png", "instructions": [["scale", 0.5]], "correct_answer": {"medium": "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\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"medium": "A"}
1steps_medium_no_28
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['scale', 0.5]]
medium
{"instance_id": 28, "shape_A": {"name": "circle", "facecolor": [0.27978384553228375, 0.203554935098061, 0.13713148863185454], "edgecolor": "black", "center": [-1.3322676295501878e-15, -2.842170943040401e-15], "size": [62.79092482138978, 62.79092482138978]}, "shape_B": {"name": "hexagon", "facecolor": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.84426796882791, 53.55870713945721]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_28.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_28.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_28.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_28.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_28.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_28.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [53.558, 61.843999999999994], "center": [0.0, 1.1842378929335002e-15], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}, {"name": "hexagon", "size": [30.922, 26.78], "center": [0.0, 0.0], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}, {"name": "hexagon", "size": [71.464, 72.00200000000001], "center": [0.0, 4.144832625267251e-15], "color": [0.7354144882589632, 0.05711859321144741, 0.10921020473013932]}, {"name": "hexagon", "size": [61.843999999999994, 53.55800000000001], "center": [1.4802973661668755e-15, 0.0], "color": [0.43407601018057973, 0.4275491891996016, 0.7292261341852432]}], "medium": [{"name": "hexagon", "size": [53.558, 61.844], "center": [0.0, 2.9605947323337506e-16], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}, {"name": "hexagon", "size": [61.843999999999994, 53.55800000000001], "center": [0.0, -1.1842378929335002e-15], "color": [0.45582117374849596, 0.7481882793634895, 0.1154169193884218]}, {"name": "hexagon", "size": [30.922, 26.78], "center": [0.0, 0.0], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}, {"name": "hexagon", "size": [82.82, 77.01], "center": [0.0, -1.1842378929335002e-15], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [31.396, 31.396], "center": [0.0, -1.4432899320127036e-16], "color": [0.27978384553228375, 0.203554935098061, 0.13713148863185454]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [30.922, 26.78], "center": [0.0, 0.0], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_28.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_28.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_28.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n\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"}
1steps_medium_no_7
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the left by a significant amount and significantly upward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [-30, 30]]]
medium
{"instance_id": 7, "shape_A": {"name": "hexagon", "facecolor": [0.44238386943908425, 0.21724467789149304, 0.8965929456089817], "edgecolor": "black", "center": [5.921189464667501e-16, -5.921189464667501e-16], "size": [67.21179638859579, 58.20712310651115]}, "shape_B": {"name": "circle", "facecolor": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985], "edgecolor": "black", "center": [-1.2434497875801752e-15, -1.7097434579227411e-15], "size": [63.5153564038313, 63.5153564038313]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_7.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_7.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_7.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_7.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_7.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_7.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_7.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [31.758, 31.758], "center": [4.4408920985006264e-17, 0.00010000000000065512], "color": [0.5683803887729609, 0.3654124628480987, 0.6829420490024262]}, {"name": "circle", "size": [82.814, 87.516], "center": [1.4210854715202005e-15, -1.4210854715202005e-15], "color": [0.9339244016742159, 0.13198288073270203, 0.8608140039367475]}, {"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-30.000000000000007, 30.000000000000007], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-1.7763568394002505e-15, -2.6645352591003756e-16], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}], "medium": [{"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-1.7763568394002505e-15, -2.6645352591003756e-16], "color": [0.7079006071180983, 0.7014996112238661, 0.16383263093540756]}, {"name": "circle", "size": [39.776, 42.71], "center": [-0.00014999999999876223, 4.440892098500626e-16], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-30.000000000000007, 30.000000000000007], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [46.761804541362416, 63.516000000000005], "center": [1.7763568394002506e-16, 1.7763568394002505e-15], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}], "hard": [{"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-1.7763568394002505e-15, -2.6645352591003756e-16], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [92.604, 94.31299999999999], "center": [4.7073456244106636e-15, -0.000525000000001441], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-30.000000000000007, 30.000000000000007], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [78.96, 75.554], "center": [-0.00032499999999817674, -0.00032500000000177385], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [67.212, 58.208], "center": [-30.0, 29.999999999999996], "color": [0.44238386943908425, 0.21724467789149304, 0.8965929456089817]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-30.000000000000007, 30.000000000000007], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_7.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_7.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_7.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_7.png", "instructions": [["translate", [-30, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "C", "hard": "C"}
1steps_medium_no_111
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the right and slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [10, -10]]]
medium
{"instance_id": 111, "shape_A": {"name": "circle", "facecolor": [0.5517697015668681, 0.10111771275949544, 0.12431885882507754], "edgecolor": "black", "center": [-7.105427357601002e-16, 5.773159728050814e-16], "size": [60.701509191997644, 60.701509191997644]}, "shape_B": {"name": "triangle", "facecolor": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [24.5061384013678, 68.48050596942332]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_111.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_111.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_111.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_111.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_111.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_111.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_111.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [16.186999999999998, 34.29], "center": [-0.9944999999999998, 4.605333333333333], "color": [0.24490290500279122, 0.20556163583991882, 0.11408890665340066]}, {"name": "triangle", "size": [33.956, 59.47], "center": [3.656, 9.896], "color": [0.19031293880666522, 0.6851788539966367, 0.23036580896128744]}, {"name": "triangle", "size": [24.506, 68.48], "center": [9.999666666666668, -9.999999999999998], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}, {"name": "triangle", "size": [24.506, 68.47999999999999], "center": [-3.975333333333334, 6.741999999999997], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}], "medium": [{"name": "triangle", "size": [12.253000000000004, 34.24], "center": [-1.987833333333331, 3.371], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}, {"name": "triangle", "size": [24.506, 68.47999999999999], "center": [-3.975333333333334, 6.741999999999997], "color": [0.14388043289222519, 0.09650036238993531, 0.1825118573615362]}, {"name": "triangle", "size": [31.826, 86.547], "center": [-1.1379999999999992, 9.2545], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}, {"name": "triangle", "size": [24.506, 68.48], "center": [9.999666666666668, -9.999999999999998], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}], "hard": [{"name": "triangle", "size": [24.506, 68.47999999999999], "center": [-3.975333333333334, 6.741999999999997], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}, {"name": "triangle", "size": [68.48, 24.506], "center": [6.742, 3.975333333333334], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}, {"name": "triangle", "size": [24.506, 68.48], "center": [9.999666666666668, -9.999999999999998], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}, {"name": "triangle", "size": [24.506, 13.99236145955944], "center": [-4.077877518076342, 1.5065400369934416], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [60.702, 60.702], "center": [10.0, -10.0], "color": [0.5517697015668681, 0.10111771275949544, 0.12431885882507754]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [24.506, 68.48], "center": [9.999666666666668, -9.999999999999998], "color": [0.3220112253573455, 0.8059720987862359, 0.13628144360452876]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_111.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_111.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_111.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_111.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_111.png", "instructions": [["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the right and slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "C"}
1steps_medium_no_40
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle significantly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [0, -30]]]
medium
{"instance_id": 40, "shape_A": {"name": "square", "facecolor": [0.6142088067402122, 0.4600236536420218, 0.35507707138749367], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.308039114832074, 31.308039114832074]}, "shape_B": {"name": "triangle", "facecolor": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223], "edgecolor": "black", "center": [-5.921189464667501e-16, 0.0], "size": [32.581609711413556, 63.26216107421129]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_40.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_40.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_40.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_40.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_40.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_40.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_40.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [32.581, 63.262], "center": [0.0, -30.000333333333334], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [16.291, 31.631], "center": [-0.49716666666666676, -4.2781666666666665], "color": [0.7222494760545234, 0.8450396025800783, 0.4308890418251925]}, {"name": "triangle", "size": [32.581, 63.262], "center": [-0.9944999999999998, -8.556333333333333], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [32.957, 7.470000000000001], "center": [5.2444999999999995, -1.172666666666667], "color": [0.1040928908406572, 0.9607736526302608, 0.2518499276203533]}], "medium": [{"name": "triangle", "size": [14.939, 65.91399999999999], "center": [-2.345166666666667, -10.488999999999997], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [63.262, 32.581], "center": [-8.556333333333333, 0.9945000000000004], "color": [0.7920937708004387, 0.8630841843083558, 0.5129801450350091]}, {"name": "triangle", "size": [32.581, 63.262], "center": [0.0, -30.000333333333334], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [32.581, 63.262], "center": [-0.9944999999999998, -8.556333333333333], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}], "hard": [{"name": "triangle", "size": [56.866, 45.150000000000006], "center": [-6.63, -3.586], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [22.575, 28.433999999999997], "center": [1.7928333333333335, -3.315], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [32.581, 63.262], "center": [0.0, -30.000333333333334], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [32.581, 63.262], "center": [-0.9944999999999998, -8.556333333333333], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.308, 31.308000000000003], "center": [0.0, -30.000000000000004], "color": [0.6142088067402122, 0.4600236536420218, 0.35507707138749367]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [32.581, 63.262], "center": [0.0, -30.000333333333334], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_40.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_40.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_40.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_40.png", "instructions": [["translate", [0, -30]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "C"}, "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\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "C", "hard": "C"}
1steps_medium_no_51
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, -30]]]
medium
{"instance_id": 51, "shape_A": {"name": "triangle", "facecolor": [0.12079316947230123, 0.5056663886228634, 0.15839492402795619], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.54358360134741, 61.698629912770784]}, "shape_B": {"name": "hexagon", "facecolor": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.66220641089646, 57.731164224158206]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_51.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_51.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [66.662, 57.732], "center": [5.921189464667501e-16, 0.0], "color": [0.5660735231212004, 0.717354907212308, 0.6650040521533221]}, {"name": "hexagon", "size": [85.666, 62.816], "center": [0.0, -1.1842378929335002e-15], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [28.866, 33.332], "center": [0.0, 5.921189464667501e-16], "color": [0.3461061161772392, 0.990389530884869, 0.8580643366319441]}], "medium": [{"name": "hexagon", "size": [66.662, 57.732], "center": [5.921189464667501e-16, 0.0], "color": [0.00631291035985071, 0.6690023862962075, 0.22911517960408212]}, {"name": "hexagon", "size": [57.732, 66.662], "center": [0.0, 5.921189464667501e-16], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [41.424, 41.094], "center": [0.0, -8.881784197001252e-16], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}], "hard": [{"name": "hexagon", "size": [49.99825723800666, 57.732], "center": [-1.1842378929335002e-15, 2.9605947323337506e-16], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [5.921189464667501e-16, 0.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [57.732, 66.664], "center": [-5.921189464667501e-16, 0.00016666666666627825], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [32.543, 61.698], "center": [-30.0, -30.000000000000004], "color": [0.12079316947230123, 0.5056663886228634, 0.15839492402795619]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_51.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_51.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_51.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_51.png", "instructions": [["translate", [-30, -30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "D"}
1steps_medium_no_119
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle to the left by a significant amount. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [-30, 0]]]
medium
{"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3625026865502513, 0.3684118524639656, 0.9762874785692875], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [62.38601511685521, 65.59653821613074]}, "shape_B": {"name": "rectangle", "facecolor": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.352761751473544, 20.069623533794292]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_119.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [16.176, 10.034000000000002], "center": [0.0, 1.7763568394002505e-15], "color": [0.7916012896307182, 0.8858480336699703, 0.325896016829761]}, {"name": "rectangle", "size": [38.054, 33.55800000000001], "center": [0.0, 8.881784197001252e-16], "color": [0.43717502926126484, 0.5517078489548533, 0.49083160755990596]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "medium": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [12.449925820609508, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [20.069999999999997, 32.352000000000004], "center": [-1.7763568394002505e-15, 0.0], "color": [0.8689337559539068, 0.9517460276412456, 0.7239486144303212]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "hard": [{"name": "rectangle", "size": [29.91, 43.944], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [48.376, 43.496], "center": [-3.885780586188048e-16, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [62.385999999999996, 65.596], "center": [-30.0, 0.0], "color": [0.3625026865502513, 0.3684118524639656, 0.9762874785692875]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_119.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_119.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_119.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_119.png", "instructions": [["translate", [-30, 0]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the left by a significant amount. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "B"}
1steps_medium_no_73
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the left and significantly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-10, -30]]]
medium
{"instance_id": 73, "shape_A": {"name": "rectangle", "facecolor": [0.16792517369553162, 0.20171623799177596, 0.23182828122818733], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.92455337100892, 21.292950202067118]}, "shape_B": {"name": "triangle", "facecolor": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275], "edgecolor": "black", "center": [-1.1842378929335002e-15, -1.1842378929335002e-15], "size": [35.814747624629085, 50.20813196195812]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_73.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_73.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_73.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_73.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_73.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_73.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_73.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [17.907000000000004, 25.104], "center": [1.9755000000000003, -0.29566666666666624], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [32.34, 25.387], "center": [2.394, 2.1135], "color": [0.3363317496126026, 0.5317080578124259, 0.7798723798027771]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-3.9510000000000005, -0.5909999999999999], "color": [0.3406427073881695, 0.1066338130567066, 0.9618465720017052]}], "medium": [{"name": "triangle", "size": [35.81399999999999, 20.13389209269414], "center": [-4.045855003243115, -2.8164359926882483], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-3.9510000000000005, -0.5909999999999999], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [58.362, 19.351000000000003], "center": [2.9773333333333327, -3.002499999999999], "color": [0.20298269261692725, 0.7975810445820377, 0.07628866472541018]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}], "hard": [{"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [25.439, 14.301], "center": [-2.8738333333333337, -2.0005], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [17.907, 25.104], "center": [-1.9754999999999978, -0.29566666666666624], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-3.9510000000000005, -0.5909999999999999], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.924, 21.292], "center": [-10.0, -30.0], "color": [0.16792517369553162, 0.20171623799177596, 0.23182828122818733]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_73.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_73.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_73.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_73.png", "instructions": [["translate", [-10, -30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and significantly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "A"}
1steps_medium_no_63
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
medium
{"instance_id": 63, "shape_A": {"name": "triangle", "facecolor": [0.5592105863115844, 0.9217666589112636, 0.6618887953780574], "edgecolor": "black", "center": [1.1842378929335002e-15, 1.1842378929335002e-15], "size": [56.55706047343236, 26.84787624230637]}, "shape_B": {"name": "hexagon", "facecolor": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [62.916369571887635, 54.48717436314496]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_63.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_63.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_63.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_63.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_63.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_63.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_63.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [78.082, 76.526], "center": [0.0, 1.1842378929335002e-15], "color": [0.8975598451911272, 0.07692256952539289, 0.6644043705913673]}, {"name": "hexagon", "size": [31.458, 27.244], "center": [-1.4802973661668753e-16, 0.0], "color": [0.40448949161577263, 0.5518113976106441, 0.6455304312268583]}, {"name": "hexagon", "size": [54.488, 62.916], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [62.916, 54.488], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}], "medium": [{"name": "hexagon", "size": [31.458, 27.244], "center": [-1.1842378929335002e-15, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [54.488, 47.188984423676004], "center": [0.0, 1.1842378929335002e-15], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [62.916, 54.488], "center": [0.0, 0.0], "color": [0.7350641034885935, 0.642845857004763, 0.8936279014672379]}, {"name": "hexagon", "size": [54.488, 62.916], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}], "hard": [{"name": "hexagon", "size": [31.458, 27.244], "center": [-2.9605947323337506e-16, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [54.488, 62.916], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [62.916, 54.488], "center": [0.0, -5.921189464667501e-16], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [54.488, 47.188984423676004], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [57.327, 30.89], "center": [0.0003333333333337407, -0.0003333333333332226], "color": [0.5592105863115844, 0.9217666589112636, 0.6618887953780574]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [54.488, 62.916], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_63.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_63.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_63.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_63.png", "instructions": [["rotate", 30]], "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 counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "B"}
1steps_medium_no_50
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 30 degrees clockwise around its center. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', -30]]
medium
{"instance_id": 50, "shape_A": {"name": "square", "facecolor": [0.3697949339715175, 0.46690448208422963, 0.7277642070532165], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.36094068702788, 32.36094068702788]}, "shape_B": {"name": "rectangle", "facecolor": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.286231743948704, 21.96513732473028]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_50.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_50.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_50.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_50.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_50.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_50.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_50.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [21.965999999999998, 34.286], "center": [1.7763568394002505e-15, 0.0], "color": [0.3991009562905471, 0.14259537550133838, 0.7865273798998548]}, {"name": "rectangle", "size": [34.286, 21.965999999999998], "center": [0.0, 1.7763568394002505e-15], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}, {"name": "rectangle", "size": [17.144, 10.982], "center": [0.0, 0.0], "color": [0.5080455697144445, 0.8147659476227349, 0.18536477357460424]}, {"name": "rectangle", "size": [40.676, 36.166], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}], "medium": [{"name": "rectangle", "size": [40.676, 26.059879134340548], "center": [0.0, 0.0], "color": [0.22001071764368918, 0.7703198899172079, 0.22600547301955387]}, {"name": "rectangle", "size": [10.983, 17.144], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}, {"name": "rectangle", "size": [40.676, 36.166], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}, {"name": "rectangle", "size": [23.170458962841977, 36.166], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}], "hard": [{"name": "rectangle", "size": [17.144000000000002, 10.983999999999998], "center": [-1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}, {"name": "rectangle", "size": [34.286, 21.966], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}, {"name": "rectangle", "size": [40.676, 36.166], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}, {"name": "rectangle", "size": [23.170458962841977, 36.166], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [44.206, 44.206], "center": [2.220446049250313e-16, 0.0], "color": [0.3697949339715175, 0.46690448208422963, 0.7277642070532165]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [40.676, 36.166], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_50.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_50.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_50.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_50.png", "instructions": [["rotate", -30]], "correct_answer": {"easy": "D", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 30 degrees clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "C"}
1steps_medium_no_18
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the right and slightly upward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [10, 10]]]
medium
{"instance_id": 18, "shape_A": {"name": "triangle", "facecolor": [0.5905572323320124, 0.10172215656513084, 0.9252903155418308], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.550443746458015, 67.12028415410325]}, "shape_B": {"name": "ellipse", "facecolor": [0.9778533292466641, 0.06471041115902354, 0.975207494192469], "edgecolor": "black", "center": [-6.217248937900876e-16, 2.2204460492503132e-17], "size": [33.21915589061473, 22.001177644584228]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_18.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_18.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_18.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_18.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_18.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_18.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_18.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.22, 22.002000000000002], "center": [9.999999999999996, 9.999999999999996], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [12.608, 15.38], "center": [-8.326672684688674e-16, 2.6645352591003756e-16], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [33.22, 22.002000000000002], "center": [2.6645352591003756e-16, 1.9984014443252818e-16], "color": [0.679204362086623, 0.15273665117288082, 0.6219667615237282]}, {"name": "ellipse", "size": [22.002000000000002, 33.22], "center": [-2.220446049250313e-16, -1.7763568394002506e-16], "color": [0.09633362859615269, 0.07651725903958528, 0.7516097465153702]}], "medium": [{"name": "ellipse", "size": [33.22, 22.002000000000002], "center": [2.6645352591003756e-16, 1.9984014443252818e-16], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [18.03792054616385, 22.002000000000002], "center": [-5.995204332975846e-16, -4.884981308350689e-16], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [33.22, 22.002000000000002], "center": [9.999999999999996, 9.999999999999996], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [22.002, 33.22], "center": [1.9984014443252818e-16, -8.881784197001253e-17], "color": [0.41192960255793676, 0.056449246862828706, 0.24422888642261864]}], "hard": [{"name": "ellipse", "size": [16.61, 11.001000000000001], "center": [-0.00020000000000015562, 0.0002750000000003583], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [33.22, 22.002000000000002], "center": [9.999999999999996, 9.999999999999996], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [33.22, 22.002000000000002], "center": [2.6645352591003756e-16, 1.9984014443252818e-16], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [18.012484113584037, 22.002], "center": [-1.9984014443252818e-16, -2.220446049250313e-16], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [32.55, 67.12], "center": [10.0, 9.999666666666668], "color": [0.5905572323320124, 0.10172215656513084, 0.9252903155418308]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.22, 22.002000000000002], "center": [9.999999999999996, 9.999999999999996], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_18.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_18.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_18.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_18.png", "instructions": [["translate", [10, 10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "C", "hard": "B"}
1steps_medium_no_17
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square a little to the right. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [10, 0]]]
medium
{"instance_id": 17, "shape_A": {"name": "rectangle", "facecolor": [0.2876890332785008, 0.17937230685268712, 0.9067931971538303], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.66478635278581, 20.087725402611497]}, "shape_B": {"name": "square", "facecolor": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.866011079867402, 31.866011079867402]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_17.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_17.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_17.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_17.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_17.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_17.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_17.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [43.53, 43.53], "center": [-2.220446049250313e-16, 0.0], "color": [0.8724431344584407, 0.8268219966068482, 0.6849671512833029]}, {"name": "square", "size": [31.866, 31.866], "center": [10.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [21.764, 21.764], "center": [1.1102230246251565e-16, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [31.866, 31.866], "center": [0.0, 0.0], "color": [0.0945086523798293, 0.7526285064752095, 0.5437123352483425]}], "medium": [{"name": "square", "size": [43.53, 43.53], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [31.866, 31.866], "center": [10.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [15.934, 15.934], "center": [8.881784197001252e-16, 0.0], "color": [0.30742832366633543, 0.2098410064743328, 0.9811095675722133]}, {"name": "square", "size": [31.866, 31.866], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}], "hard": [{"name": "square", "size": [31.866, 31.866], "center": [10.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [31.866, 31.866], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [15.933999999999997, 15.933999999999997], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [43.53, 43.53], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [33.664, 20.088], "center": [10.0, 0.0], "color": [0.2876890332785008, 0.17937230685268712, 0.9067931971538303]}], "tranformed_B_sequence_info": [{"name": "square", "size": [31.866, 31.866], "center": [10.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_17.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_17.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_17.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_17.png", "instructions": [["translate", [10, 0]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square a little to the right. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "A"}
1steps_medium_no_97
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['scale', 0.5]]
medium
{"instance_id": 97, "shape_A": {"name": "square", "facecolor": [0.0875341292391344, 0.2878234073671787, 0.1807597211321874], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.961479904765103, 31.961479904765103]}, "shape_B": {"name": "hexagon", "facecolor": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.18403078528043, 55.58500117733533]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_97.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_97.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_97.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_97.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_97.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_97.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_97.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [64.184, 55.586], "center": [0.0, 0.0], "color": [0.446037358952617, 0.5453670942754123, 0.6686542591631693]}, {"name": "hexagon", "size": [55.586, 64.184], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [32.092, 27.792], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [70.41, 82.008], "center": [0.0, -5.921189464667501e-16], "color": [0.8471785010933867, 0.507270931470835, 0.8825016537314981]}], "medium": [{"name": "hexagon", "size": [32.092, 27.792], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [55.586, 64.184], "center": [0.0, 0.0], "color": [0.22067923687454472, 0.4866897847894993, 0.17893784933043622]}, {"name": "hexagon", "size": [60.492, 34.288], "center": [-5.921189464667501e-16, -2.9605947323337506e-16], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [64.184, 55.586], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}], "hard": [{"name": "hexagon", "size": [64.184, 55.586], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [55.586, 64.184], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [32.092, 27.792], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [32.092, 17.061134369064433], "center": [-1.4802973661668753e-16, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [15.98, 15.98], "center": [0.0, 0.0], "color": [0.0875341292391344, 0.2878234073671787, 0.1807597211321874]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [32.092, 27.792], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_97.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_97.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_97.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_97.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n\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": "C"}
1steps_medium_no_75
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Rotate the pentagon by 90 degrees clockwise around its center. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['rotate', -90]]
medium
{"instance_id": 75, "shape_A": {"name": "hexagon", "facecolor": [0.7145356572290893, 0.15659299361796675, 0.0017776021659555719], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.15765027875275, 56.428180392302096]}, "shape_B": {"name": "pentagon", "facecolor": [0.6383185385429553, 0.5539757543225574, 0.6732295652386882], "edgecolor": "black", "center": [-1.0658141036401502e-15, 1.4210854715202005e-15], "size": [60.84765912521644, 63.979015003491966]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_75.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_75.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_75.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_75.png", "answer_choices": {"medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_75.png"}, "answer_choices_info": {"medium": [{"name": "pentagon", "size": [30.424, 31.99], "center": [-1.6060000000000005, 0.0], "color": [0.6383185385429553, 0.5539757543225574, 0.6732295652386882]}, {"name": "pentagon", "size": [42.792, 42.019999999999996], "center": [1.3730000000000007, -0.5540000000000006], "color": [0.6383185385429553, 0.5539757543225574, 0.6732295652386882]}, {"name": "pentagon", "size": [88.703, 82.953], "center": [2.3777000000000017, -0.8655000000000015], "color": [0.5568738161147935, 0.7996573760636221, 0.4162841966964126]}, {"name": "pentagon", "size": [63.98, 60.848], "center": [-7.105427357601002e-16, -3.552713678800501e-16], "color": [0.6383185385429553, 0.5539757543225574, 0.6732295652386882]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [56.428, 65.158], "center": [0.0, 0.0], "color": [0.7145356572290893, 0.15659299361796675, 0.0017776021659555719]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [63.98, 60.848], "center": [-7.105427357601002e-16, -3.552713678800501e-16], "color": [0.6383185385429553, 0.5539757543225574, 0.6732295652386882]}], "individual_answer_choices_path": {"medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_75.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_75.png", "instructions": [["rotate", -90]], "correct_answer": {"medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 90 degrees clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"medium": "D"}
1steps_hard_no_95
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> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', 60]]
hard
{"instance_id": 95, "shape_A": {"name": "rectangle", "facecolor": [0.9386413572529496, 0.09931316101227206, 0.2779964714287181], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.18464859671613, 24.237999092907607]}, "shape_B": {"name": "triangle", "facecolor": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [21.517925654349185, 63.72478719226696]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_95.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_95.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_95.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_95.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_95.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_95.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_95.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [10.759, 31.862000000000002], "center": [1.5934999999999988, 3.763333333333334], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [57.309, 32.899], "center": [-8.6445, -2.2755000000000005], "color": [0.47012594471216906, 0.4182648748698823, 0.7088020388650815]}, {"name": "triangle", "size": [57.309, 32.899], "center": [-1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [63.724000000000004, 21.517999999999997], "center": [-7.527000000000002, 3.1869999999999976], "color": [0.108827059908159, 0.7340131596055779, 0.5031131990296385]}], "medium": [{"name": "triangle", "size": [57.309, 32.899], "center": [-1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [55.786, 44.82000000000001], "center": [-3.0320000000000005, -2.805000000000001], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [18.886112146434243, 32.899], "center": [-1.3062812908967192, 4.962491153222007], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [57.309, 32.899], "center": [-8.6445, -2.2755000000000005], "color": [0.6499035112241656, 0.3798705145015402, 0.007066326563811898]}], "hard": [{"name": "triangle", "size": [63.724000000000004, 21.518], "center": [7.527000000000001, -3.187], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [18.885208549991276, 32.899], "center": [-1.3063541732100272, 4.962691589600419], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [57.309, 32.899], "center": [-1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [57.309, 32.899], "center": [-8.6445, -2.2755000000000005], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [37.584, 40.858], "center": [0.0, 0.0], "color": [0.9386413572529496, 0.09931316101227206, 0.2779964714287181]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [57.309, 32.899], "center": [-1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_95.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_95.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_95.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_95.png", "instructions": [["rotate", 60]], "correct_answer": {"easy": "C", "medium": "A", "hard": "C"}, "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\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": "C"}
1steps_hard_no_54
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle slightly upward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [0, 10]]]
hard
{"instance_id": 54, "shape_A": {"name": "ellipse", "facecolor": [0.7611700183142153, 0.9139806085900468, 0.9122661949657326], "edgecolor": "black", "center": [4.4408920985006264e-17, -1.8318679906315082e-16], "size": [31.356916610856874, 21.478132020794455]}, "shape_B": {"name": "circle", "facecolor": [0.950315567533943, 0.3874025664685953, 0.09709140329031751], "edgecolor": "black", "center": [-1.2434497875801752e-15, 1.3766765505351941e-15], "size": [66.31023390219511, 66.31023390219511]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_54.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [91.414, 59.087999999999994], "center": [1.7763568394002506e-16, 3.730349362740526e-15], "color": [0.9101611922993733, 0.6112818315428236, 0.43618795925559617]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, 9.999999999999998], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [71.811, 76.27], "center": [-2.4999999999053557e-05, -2.3980817331903383e-15], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, -1.1102230246251565e-16], "color": [0.4776867936322615, 0.3154263789388455, 0.42547020888416764]}], "medium": [{"name": "circle", "size": [60.902, 74.818], "center": [4.440892098500626e-16, 5.5067062021407766e-15], "color": [0.6333073300861608, 0.46331443261096983, 0.15705293734072656]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, -1.1102230246251565e-16], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [87.246, 59.892], "center": [9.999999999941168e-05, -0.0002250000000029173], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, 9.999999999999998], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}], "hard": [{"name": "circle", "size": [66.31, 66.31], "center": [0.0, 9.999999999999998], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [94.78, 85.024], "center": [-2.4868995751603505e-15, -1.7763568394002506e-16], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, -1.1102230246251565e-16], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [74.876, 73.78], "center": [-3.552713678800501e-16, 3.1530333899354444e-15], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [31.356, 21.478], "center": [-4.4408920985006264e-17, 9.999999999999996], "color": [0.7611700183142153, 0.9139806085900468, 0.9122661949657326]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [66.31, 66.31], "center": [0.0, 9.999999999999998], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_54.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_54.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_54.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_54.png", "instructions": [["translate", [0, 10]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "D", "hard": "A"}
1steps_hard_no_114
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [0, -10]]]
hard
{"instance_id": 114, "shape_A": {"name": "circle", "facecolor": [0.7338018157348072, 0.8796868671924539, 0.526499216030505], "edgecolor": "black", "center": [-5.329070518200751e-16, -2.4646951146678474e-15], "size": [68.66200079176045, 68.66200079176045]}, "shape_B": {"name": "square", "facecolor": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.785988621204254, 34.785988621204254]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_114.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_114.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_114.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_114.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_114.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_114.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_114.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [34.786, 34.786], "center": [0.0, -10.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [34.786, 34.786], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [23.759999999999998, 23.759999999999998], "center": [0.0, 0.0], "color": [0.595141796585856, 0.8044737747298943, 0.24935216297740692]}, {"name": "square", "size": [47.518, 47.518], "center": [0.0, 0.0], "color": [0.688476363185747, 0.4563908804672143, 0.988378524228168]}], "medium": [{"name": "square", "size": [47.518, 47.518], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [23.759999999999998, 23.759999999999998], "center": [0.0, 0.0], "color": [0.3693785175358285, 0.4429203558217317, 0.22524806823128363]}, {"name": "square", "size": [34.786, 34.786], "center": [0.0, -10.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [34.786, 34.786], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}], "hard": [{"name": "square", "size": [34.786, 34.786], "center": [0.0, -10.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [34.786, 34.786], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [47.518, 47.518], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [17.392, 17.392], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [68.662, 68.662], "center": [-1.7763568394002506e-16, -9.999999999999996], "color": [0.7338018157348072, 0.8796868671924539, 0.526499216030505]}], "tranformed_B_sequence_info": [{"name": "square", "size": [34.786, 34.786], "center": [0.0, -10.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_114.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_114.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_114.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_114.png", "instructions": [["translate", [0, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "C", "hard": "A"}
1steps_hard_no_51
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, -30]]]
hard
{"instance_id": 51, "shape_A": {"name": "triangle", "facecolor": [0.12079316947230123, 0.5056663886228634, 0.15839492402795619], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.54358360134741, 61.698629912770784]}, "shape_B": {"name": "hexagon", "facecolor": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.66220641089646, 57.731164224158206]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_51.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_51.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [66.662, 57.732], "center": [5.921189464667501e-16, 0.0], "color": [0.5660735231212004, 0.717354907212308, 0.6650040521533221]}, {"name": "hexagon", "size": [85.666, 62.816], "center": [0.0, -1.1842378929335002e-15], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [28.866, 33.332], "center": [0.0, 5.921189464667501e-16], "color": [0.3461061161772392, 0.990389530884869, 0.8580643366319441]}], "medium": [{"name": "hexagon", "size": [66.662, 57.732], "center": [5.921189464667501e-16, 0.0], "color": [0.00631291035985071, 0.6690023862962075, 0.22911517960408212]}, {"name": "hexagon", "size": [57.732, 66.662], "center": [0.0, 5.921189464667501e-16], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [41.424, 41.094], "center": [0.0, -8.881784197001252e-16], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}], "hard": [{"name": "hexagon", "size": [49.99825723800666, 57.732], "center": [-1.1842378929335002e-15, 2.9605947323337506e-16], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [5.921189464667501e-16, 0.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [57.732, 66.664], "center": [-5.921189464667501e-16, 0.00016666666666627825], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [32.543, 61.698], "center": [-30.0, -30.000000000000004], "color": [0.12079316947230123, 0.5056663886228634, 0.15839492402795619]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_51.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_51.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_51.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_51.png", "instructions": [["translate", [-30, -30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "D"}
1steps_hard_no_46
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> 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]]
hard
{"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.7147347733928225, 0.10796046430355977, 0.2133437952034949], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.510440837427673, 20.723222801915657]}, "shape_B": {"name": "circle", "facecolor": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783], "edgecolor": "black", "center": [-1.7763568394002506e-16, 4.662936703425658e-16], "size": [69.06429081828506, 69.06429081828506]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_46.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [83.06, 80.728], "center": [1.7763568394002506e-16, 7.993605777301127e-16], "color": [0.5459150181873522, 0.6164681662855144, 0.5384037540659804]}, {"name": "circle", "size": [34.532, 34.532], "center": [8.881784197001253e-17, -1.0103029524088924e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [91.243, 98.908], "center": [4.999999999393268e-05, 1.3322676295501878e-16], "color": [0.9191167234966132, 0.626590098265795, 0.9471849297361556]}], "medium": [{"name": "circle", "size": [34.532, 34.532], "center": [8.881784197001253e-17, -1.0103029524088924e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [122.804, 67.472], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [90.905, 88.128], "center": [2.5000000003672086e-05, 5.000000000370264e-05], "color": [0.4104603011161263, 0.32687448553128473, 0.4358039890388459]}], "hard": [{"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [85.76, 125.992], "center": [-1.0880185641326535e-15, 0.0], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [78.176, 76.02], "center": [3.0198066269804257e-15, 7.549516567451064e-16], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [16.14585625268586, 68.97], "center": [1.7763568394002506e-16, 4.884981308350689e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [37.65, 33.702], "center": [0.0, 0.0], "color": [0.7147347733928225, 0.10796046430355977, 0.2133437952034949]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_46.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_46.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_46.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "A", "medium": "C", "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\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"}
1steps_hard_no_17
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square a little to the right. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [10, 0]]]
hard
{"instance_id": 17, "shape_A": {"name": "rectangle", "facecolor": [0.2876890332785008, 0.17937230685268712, 0.9067931971538303], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.66478635278581, 20.087725402611497]}, "shape_B": {"name": "square", "facecolor": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.866011079867402, 31.866011079867402]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_17.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_17.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_17.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_17.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_17.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_17.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_17.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [43.53, 43.53], "center": [-2.220446049250313e-16, 0.0], "color": [0.8724431344584407, 0.8268219966068482, 0.6849671512833029]}, {"name": "square", "size": [31.866, 31.866], "center": [10.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [21.764, 21.764], "center": [1.1102230246251565e-16, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [31.866, 31.866], "center": [0.0, 0.0], "color": [0.0945086523798293, 0.7526285064752095, 0.5437123352483425]}], "medium": [{"name": "square", "size": [43.53, 43.53], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [31.866, 31.866], "center": [10.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [15.934, 15.934], "center": [8.881784197001252e-16, 0.0], "color": [0.30742832366633543, 0.2098410064743328, 0.9811095675722133]}, {"name": "square", "size": [31.866, 31.866], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}], "hard": [{"name": "square", "size": [31.866, 31.866], "center": [10.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [31.866, 31.866], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [15.933999999999997, 15.933999999999997], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}, {"name": "square", "size": [43.53, 43.53], "center": [0.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [33.664, 20.088], "center": [10.0, 0.0], "color": [0.2876890332785008, 0.17937230685268712, 0.9067931971538303]}], "tranformed_B_sequence_info": [{"name": "square", "size": [31.866, 31.866], "center": [10.0, 0.0], "color": [0.6365608310143737, 0.12417692433158278, 0.6659134618393072]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_17.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_17.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_17.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_17.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_17.png", "instructions": [["translate", [10, 0]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square a little to the right. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "A"}
1steps_hard_no_63
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
hard
{"instance_id": 63, "shape_A": {"name": "triangle", "facecolor": [0.5592105863115844, 0.9217666589112636, 0.6618887953780574], "edgecolor": "black", "center": [1.1842378929335002e-15, 1.1842378929335002e-15], "size": [56.55706047343236, 26.84787624230637]}, "shape_B": {"name": "hexagon", "facecolor": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [62.916369571887635, 54.48717436314496]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_63.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_63.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_63.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_63.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_63.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_63.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_63.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [78.082, 76.526], "center": [0.0, 1.1842378929335002e-15], "color": [0.8975598451911272, 0.07692256952539289, 0.6644043705913673]}, {"name": "hexagon", "size": [31.458, 27.244], "center": [-1.4802973661668753e-16, 0.0], "color": [0.40448949161577263, 0.5518113976106441, 0.6455304312268583]}, {"name": "hexagon", "size": [54.488, 62.916], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [62.916, 54.488], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}], "medium": [{"name": "hexagon", "size": [31.458, 27.244], "center": [-1.1842378929335002e-15, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [54.488, 47.188984423676004], "center": [0.0, 1.1842378929335002e-15], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [62.916, 54.488], "center": [0.0, 0.0], "color": [0.7350641034885935, 0.642845857004763, 0.8936279014672379]}, {"name": "hexagon", "size": [54.488, 62.916], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}], "hard": [{"name": "hexagon", "size": [31.458, 27.244], "center": [-2.9605947323337506e-16, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [54.488, 62.916], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [62.916, 54.488], "center": [0.0, -5.921189464667501e-16], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [54.488, 47.188984423676004], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [57.327, 30.89], "center": [0.0003333333333337407, -0.0003333333333332226], "color": [0.5592105863115844, 0.9217666589112636, 0.6618887953780574]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [54.488, 62.916], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_63.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_63.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_63.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_63.png", "instructions": [["rotate", 30]], "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 counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "B"}
1steps_hard_no_11
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [30, -10]]]
hard
{"instance_id": 11, "shape_A": {"name": "rectangle", "facecolor": [0.5776511530902706, 0.7741944842449918, 0.39812975179986976], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.17938309182564, 24.02184680443587]}, "shape_B": {"name": "circle", "facecolor": [0.55210494834027, 0.5575626751964372, 0.1787195978329551], "edgecolor": "black", "center": [-9.769962616701378e-16, -1.2878587085651815e-15], "size": [60.52052797084585, 60.52052797084585]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_11.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_11.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_11.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [49.251999999999995, 76.348], "center": [0.0, 2.1316282072803005e-15], "color": [0.5158136315528283, 0.2316709728180616, 0.16948289181310217]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.03606113314434878, 0.23925662528737723, 0.00028727185462340543]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [30.672, 31.632], "center": [3.9968028886505636e-16, 6.439293542825908e-16], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}], "medium": [{"name": "circle", "size": [84.25399999999999, 78.56], "center": [-2.1316282072803005e-15, 2.220446049250313e-15], "color": [0.1827844526404001, 0.7461562580101736, 0.9302552633727152]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [35.214, 33.432], "center": [0.00010000000000047749, 2.4999999999497646e-05], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}], "hard": [{"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [60.52, 41.720668141681124], "center": [1.6875389974302379e-15, -1.4210854715202005e-15], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [35.61, 33.478], "center": [1.9539925233402757e-15, 1.5543122344752192e-15], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [33.18000000000001, 24.022], "center": [30.0, -9.999999999999998], "color": [0.5776511530902706, 0.7741944842449918, 0.39812975179986976]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_11.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_11.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_11.png", "instructions": [["translate", [30, -10]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "A"}
1steps_hard_no_14
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0> 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]]]
hard
{"instance_id": 14, "shape_A": {"name": "pentagon", "facecolor": [0.15195705577066454, 0.18793360223450828, 0.13154588032324976], "edgecolor": "black", "center": [7.105427357601002e-16, 7.105427357601002e-16], "size": [54.98937185158614, 57.819247236533926]}, "shape_B": {"name": "triangle", "facecolor": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [54.433214714326624, 51.885324284799545]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_14.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_14.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_14.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [23.274, 30.588], "center": [-3.2880000000000003, -1.2399999999999995], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [-30.0, 10.0], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [45.900999999999996, 57.837], "center": [-6.331166666666667, 2.5834999999999995], "color": [0.20283357618582687, 0.2045621057311916, 0.17707820182370537]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [7.9965, 2.5719999999999996], "color": [0.9501980424899162, 0.22255421237920714, 0.6713390871006505]}], "medium": [{"name": "triangle", "size": [46.548, 61.175], "center": [-6.5760000000000005, -2.479833333333334], "color": [0.25008229407723825, 0.6917174283309014, 0.9071624630054067]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [7.9965, 2.5719999999999996], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [27.216, 25.942], "center": [3.9980000000000033, 1.2860000000000011], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [-30.0, 10.0], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}], "hard": [{"name": "triangle", "size": [67.748, 61.33], "center": [-2.4180000000000006, -7.925000000000001], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [7.9965, 2.5719999999999996], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [39.48000863097671, 51.88600000000001], "center": [-5.57747995096036, -2.1032878190982154], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [-30.0, 10.0], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [54.989, 57.81999999999999], "center": [-30.0002, 10.0], "color": [0.15195705577066454, 0.18793360223450828, 0.13154588032324976]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [54.43299999999999, 51.886], "center": [-30.0, 10.0], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_14.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_14.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_14.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_14.png", "instructions": [["translate", [-30, 10]]], "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 - Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "D", "hard": "D"}
1steps_hard_no_19
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [30, 10]]]
hard
{"instance_id": 19, "shape_A": {"name": "triangle", "facecolor": [0.7822337450080271, 0.055327272859096444, 0.8965054756695743], "edgecolor": "black", "center": [5.921189464667501e-16, 2.3684757858670005e-15], "size": [19.71630746870586, 59.19983679955833]}, "shape_B": {"name": "circle", "facecolor": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744], "edgecolor": "black", "center": [-3.552713678800501e-16, -7.993605777301127e-16], "size": [68.42750267241598, 68.42750267241598]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_19.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_19.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_19.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_19.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_19.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_19.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_19.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [68.428, 68.428], "center": [29.999999999999993, 10.000000000000004], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [68.428, 68.428], "center": [1.2434497875801752e-15, -8.881784197001253e-17], "color": [0.6453975883633282, 0.9052294314340854, 0.034809431742675256]}, {"name": "circle", "size": [58.94, 107.708], "center": [-7.993605777301127e-16, 2.220446049250313e-15], "color": [0.4752217808043303, 0.36773928866807637, 0.30817139909471725]}, {"name": "circle", "size": [33.381, 34.36], "center": [0.00052499999999851, 2.4999999999675283e-05], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}], "medium": [{"name": "circle", "size": [68.428, 68.428], "center": [29.999999999999993, 10.000000000000004], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [55.43051981829518, 68.428], "center": [0.0, 2.9753977059954196e-15], "color": [0.4532617531359948, 0.027350893333371262, 0.052098822901940234]}, {"name": "circle", "size": [68.428, 68.428], "center": [1.2434497875801752e-15, -8.881784197001253e-17], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [34.852, 34.554], "center": [5.000000000041638e-05, -0.00012500000000013057], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}], "hard": [{"name": "circle", "size": [68.428, 68.428], "center": [29.999999999999993, 10.000000000000004], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [79.376, 74.382], "center": [2.4868995751603505e-15, -3.1086244689504383e-15], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [68.428, 68.428], "center": [1.2434497875801752e-15, -8.881784197001253e-17], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [44.956, 43.524], "center": [-5.000000000050519e-05, -2.4999999999497646e-05], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [19.717, 59.2], "center": [30.0, 9.999999999999998], "color": [0.7822337450080271, 0.055327272859096444, 0.8965054756695743]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.428, 68.428], "center": [29.999999999999993, 10.000000000000004], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_19.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_19.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_19.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_19.png", "instructions": [["translate", [30, 10]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "A"}
1steps_hard_no_80
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the triangle, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['scale', 0.5]]
hard
{"instance_id": 80, "shape_A": {"name": "rectangle", "facecolor": [0.9005095986777847, 0.7671224841269358, 0.0047984930685360805], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.577540280607046, 21.05719443246732]}, "shape_B": {"name": "triangle", "facecolor": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808], "edgecolor": "black", "center": [-1.7763568394002505e-15, 1.1842378929335002e-15], "size": [30.12207044932655, 47.606559811316714]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_80.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_80.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_80.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_80.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_80.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_80.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_80.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [30.122, 47.606], "center": [-0.10699999999999991, 6.511000000000003], "color": [0.9627979402002226, 0.9110440515066276, 0.5180781809385478]}, {"name": "triangle", "size": [47.606, 30.122], "center": [-6.510999999999999, 0.10699999999999932], "color": [0.8006808362378293, 0.861602254739555, 0.962159861134232]}, {"name": "triangle", "size": [57.363, 19.601999999999997], "center": [4.009833333333333, 1.6296666666666664], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}, {"name": "triangle", "size": [15.061, 23.803], "center": [-2.9605947323337506e-16, 0.0], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}], "medium": [{"name": "triangle", "size": [15.061, 2.9929887899944934], "center": [1.4944876530050273, -0.2952140441886228], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}, {"name": "triangle", "size": [30.122, 47.606], "center": [-0.10699999999999991, 6.510999999999999], "color": [0.9683855627792903, 0.8538651671908509, 0.804365413501231]}, {"name": "triangle", "size": [15.061, 23.803], "center": [-2.9605947323337506e-16, 0.0], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}, {"name": "triangle", "size": [47.606, 30.122], "center": [6.510999999999999, -0.10699999999999991], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}], "hard": [{"name": "triangle", "size": [15.061, 23.803], "center": [-2.9605947323337506e-16, 0.0], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}, {"name": "triangle", "size": [47.606, 30.122], "center": [6.510999999999999, 0.10699999999999991], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}, {"name": "triangle", "size": [15.061, 2.992935619115296], "center": [1.4943273227926805, -0.2951196127198436], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}, {"name": "triangle", "size": [14.063, 41.663], "center": [-2.3035, 6.532166666666666], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [16.288, 10.528], "center": [0.0, 0.0], "color": [0.9005095986777847, 0.7671224841269358, 0.0047984930685360805]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [15.061, 23.803], "center": [-2.9605947323337506e-16, 0.0], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_80.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_80.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_80.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_80.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "A"}
1steps_hard_no_20
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the pentagon, making it smaller. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['scale', 0.5]]
hard
{"instance_id": 20, "shape_A": {"name": "triangle", "facecolor": [0.5691584358313694, 0.21136686103998747, 0.0486822486039844], "edgecolor": "black", "center": [0.0, 0.0], "size": [42.634945564126845, 63.303806251031375]}, "shape_B": {"name": "pentagon", "facecolor": [0.39885849695774833, 0.17801080077946274, 0.9650493098115733], "edgecolor": "black", "center": [-7.105427357601002e-16, 7.105427357601002e-16], "size": [55.36136502523337, 58.2103840062985]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_20.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_20.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_20.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_20.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_20.png", "answer_choices": {"hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_20.png"}, "answer_choices_info": {"hard": [{"name": "pentagon", "size": [55.361000000000004, 58.209999999999994], "center": [-2.9222999999999986, 0.0], "color": [0.39885849695774833, 0.17801080077946274, 0.9650493098115733]}, {"name": "pentagon", "size": [27.680999999999997, 29.106], "center": [3.552713678800501e-16, 0.0], "color": [0.39885849695774833, 0.17801080077946274, 0.9650493098115733]}, {"name": "pentagon", "size": [65.41300000000001, 60.921], "center": [-0.6187000000000034, 1.7711000000000006], "color": [0.39885849695774833, 0.17801080077946274, 0.9650493098115733]}, {"name": "pentagon", "size": [79.33, 75.143], "center": [-1.6499999999999986, -2.8196999999999988], "color": [0.39885849695774833, 0.17801080077946274, 0.9650493098115733]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [21.317999999999998, 31.652], "center": [-7.401486830834377e-17, 0.00033333333333433285], "color": [0.5691584358313694, 0.21136686103998747, 0.0486822486039844]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [27.680999999999997, 29.106], "center": [3.552713678800501e-16, 0.0], "color": [0.39885849695774833, 0.17801080077946274, 0.9650493098115733]}], "individual_answer_choices_path": {"hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_20.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_20.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_20.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_20.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_20.png", "instructions": [["scale", 0.5]], "correct_answer": {"hard": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the pentagon, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"hard": "B"}
1steps_hard_no_76
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the right and significantly upward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [10, 30]]]
hard
{"instance_id": 76, "shape_A": {"name": "square", "facecolor": [0.9239165497842027, 0.38943014282667665, 0.053595960193037806], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.57135007835554, 32.57135007835554]}, "shape_B": {"name": "ellipse", "facecolor": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804], "edgecolor": "black", "center": [1.7763568394002506e-16, -1.27675647831893e-16], "size": [30.234393912277593, 23.699334694297654]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_76.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_76.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_76.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_76.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_76.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_76.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_76.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [10.000000000000004, 30.0], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [12.746, 14.354], "center": [-4.4408920985006264e-17, 0.0], "color": [0.8889679979081118, 0.9790224169656921, 0.9486874984808045]}, {"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [-8.881784197001252e-16, 1.5987211554602255e-15], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [41.712, 23.244], "center": [-6.217248937900876e-16, 6.217248937900876e-16], "color": [0.6653105263590766, 0.529225305653132, 0.49379022923312355]}], "medium": [{"name": "ellipse", "size": [30.202, 36.014], "center": [1.1546319456101628e-15, -1.7763568394002506e-16], "color": [0.30128478023256455, 0.5202361515046738, 0.760120615075782]}, {"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [10.000000000000004, 30.0], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [-8.881784197001252e-16, 1.5987211554602255e-15], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [15.116, 11.850000000000001], "center": [0.00025000000000030553, 0.0001500000000006718], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}], "hard": [{"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [-8.881784197001252e-16, 1.5987211554602255e-15], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [12.744, 14.355], "center": [4.4408920985006264e-17, 0.0003249999999999975], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [10.000000000000004, 30.0], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [18.576862018785558, 23.700000000000006], "center": [2.831068712794149e-16, 1.7763568394002506e-16], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.572, 32.572], "center": [10.0, 30.0], "color": [0.9239165497842027, 0.38943014282667665, 0.053595960193037806]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [10.000000000000004, 30.0], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_76.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_76.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_76.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_76.png", "instructions": [["translate", [10, 30]]], "correct_answer": {"easy": "A", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right and significantly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "B", "hard": "C"}
1steps_hard_no_49
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon significantly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [0, -30]]]
hard
{"instance_id": 49, "shape_A": {"name": "circle", "facecolor": [0.18093254558030603, 0.4314490832419994, 0.9574352142829335], "edgecolor": "black", "center": [-4.440892098500626e-16, -4.440892098500626e-16], "size": [60.81553032475188, 60.81553032475188]}, "shape_B": {"name": "hexagon", "facecolor": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [60.94196374578176, 52.77728876035727]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_49.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_49.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_49.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_49.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_49.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_49.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_49.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [30.47, 26.388], "center": [2.9605947323337506e-16, 0.0], "color": [0.2761109719552013, 0.9614449283634714, 0.3109917407202172]}, {"name": "hexagon", "size": [60.942, 52.778000000000006], "center": [5.921189464667501e-16, -1.1842378929335002e-15], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [60.942, 52.778000000000006], "center": [5.921189464667501e-16, -30.0], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [52.778000000000006, 60.942], "center": [1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.05342044426021375, 0.09597448256186336, 0.5139136324681498]}], "medium": [{"name": "hexagon", "size": [30.470999999999997, 26.389000000000003], "center": [0.00033333333333344467, -0.00016666666666746247], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [60.942, 52.778000000000006], "center": [5.921189464667501e-16, -30.0], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [60.942, 52.778000000000006], "center": [5.921189464667501e-16, -1.1842378929335002e-15], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [45.70767752945426, 52.778000000000006], "center": [-2.3684757858670005e-15, -1.7763568394002505e-15], "color": [0.2534656554153031, 0.1970414519525009, 0.68218193191559]}], "hard": [{"name": "hexagon", "size": [60.942, 52.778000000000006], "center": [5.921189464667501e-16, -30.0], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [60.942, 52.778000000000006], "center": [5.921189464667501e-16, -1.1842378929335002e-15], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [45.707677529454244, 52.778000000000006], "center": [0.0, 0.0], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [31.608, 36.948], "center": [0.0001666666666665743, 4.440892098500626e-16], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [60.816, 60.816], "center": [1.7763568394002506e-16, -30.000000000000007], "color": [0.18093254558030603, 0.4314490832419994, 0.9574352142829335]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [60.942, 52.778000000000006], "center": [5.921189464667501e-16, -30.0], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_49.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_49.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_49.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_49.png", "instructions": [["translate", [0, -30]]], "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 significantly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "B", "hard": "A"}
1steps_hard_no_48
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [0, -10]]]
hard
{"instance_id": 48, "shape_A": {"name": "pentagon", "facecolor": [0.1253063881148132, 0.8897634443373729, 0.21780396001199154], "edgecolor": "black", "center": [-1.0658141036401502e-15, 0.0], "size": [58.41746665608559, 61.42375942457255]}, "shape_B": {"name": "square", "facecolor": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.24139023903668, 34.24139023903668]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_48.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [23.388, 23.388], "center": [-2.220446049250313e-16, 4.440892098500626e-16], "color": [0.31310360323715114, 0.1300078846428092, 0.39116299289200374]}, {"name": "square", "size": [46.774, 46.774], "center": [-2.220446049250313e-16, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242000000000004], "center": [0.0, 1.7763568394002505e-15], "color": [0.28586906273490087, 0.4593785072657385, 0.2547711669189501]}, {"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}], "medium": [{"name": "square", "size": [46.774, 46.774], "center": [4.440892098500626e-16, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242000000000004], "center": [0.0, 1.7763568394002505e-15], "color": [0.005618599334409224, 0.7643054273655655, 0.5410138633533258]}, {"name": "square", "size": [23.388, 23.387999999999998], "center": [0.0002499999999997504, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}], "hard": [{"name": "square", "size": [23.387999999999998, 23.387999999999998], "center": [0.0, 2.220446049250313e-16], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [46.775999999999996, 46.775999999999996], "center": [-8.881784197001252e-16, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242000000000004], "center": [0.0, 1.7763568394002505e-15], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [58.417, 61.42400000000001], "center": [0.0, -10.000000000000002], "color": [0.1253063881148132, 0.8897634443373729, 0.21780396001199154]}], "tranformed_B_sequence_info": [{"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_48.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_48.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_48.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_48.png", "instructions": [["translate", [0, -10]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "B", "hard": "B"}
1steps_hard_no_70
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the right. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [10, 0]]]
hard
{"instance_id": 70, "shape_A": {"name": "triangle", "facecolor": [0.2326291509341567, 0.537216961919809, 0.6742652353868184], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [55.56877475636617, 51.048363148211536]}, "shape_B": {"name": "ellipse", "facecolor": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757], "edgecolor": "black", "center": [6.661338147750939e-16, -2.2204460492503132e-17], "size": [32.14003820616973, 23.37601022472517]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_70.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_70.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_70.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_70.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_70.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_70.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [32.14, 23.376], "center": [4.440892098500626e-16, 4.9960036108132046e-17], "color": [0.45969579955347983, 0.2537499135596871, 0.8258272474200495]}, {"name": "ellipse", "size": [23.375999999999998, 32.14], "center": [6.661338147750939e-17, 5.329070518200751e-16], "color": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757]}, {"name": "ellipse", "size": [16.07, 11.688], "center": [-1.1102230246251565e-16, 1.9428902930940238e-17], "color": [0.027496367412083278, 0.7532374246717107, 0.24002613482026902]}, {"name": "ellipse", "size": [32.14, 23.376], "center": [10.0, 4.9960036108132046e-17], "color": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757]}], "hard": [{"name": "ellipse", "size": [32.14, 23.376], "center": [10.0, 4.9960036108132046e-17], "color": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757]}, {"name": "ellipse", "size": [32.14, 23.376], "center": [4.440892098500626e-16, 4.9960036108132046e-17], "color": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757]}, {"name": "ellipse", "size": [40.974, 38.254], "center": [1.7763568394002506e-16, 0.0], "color": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757]}, {"name": "ellipse", "size": [16.07, 11.688000000000002], "center": [8.881784197001253e-17, -2.6645352591003756e-16], "color": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [55.569, 51.04900000000001], "center": [10.0, 0.0], "color": [0.2326291509341567, 0.537216961919809, 0.6742652353868184]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [32.14, 23.376], "center": [10.0, 4.9960036108132046e-17], "color": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_70.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_70.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_70.png", "instructions": [["translate", [10, 0]]], "correct_answer": {"easy": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right. <shapeB_step_0>\n\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": "A"}
1steps_hard_no_1
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
hard
{"instance_id": 1, "shape_A": {"name": "triangle", "facecolor": [0.8978113473991952, 0.4882294775502505, 0.2729353117632566], "edgecolor": "black", "center": [2.9605947323337506e-16, -1.1842378929335002e-15], "size": [40.176251787959174, 53.6941897097028]}, "shape_B": {"name": "rectangle", "facecolor": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.31499878418081, 20.41973731081]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_1.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_1.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_1.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_1.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_1.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_1.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_1.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [33.31399999999999, 20.42], "center": [1.7763568394002505e-15, 0.0], "color": [0.8392288462845982, 0.6213356565861579, 0.23854494188890585]}, {"name": "rectangle", "size": [20.42, 33.314], "center": [0.0, 0.0], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [39.062, 34.342], "center": [0.0, -4.163336342344337e-16], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [16.656, 10.21], "center": [0.0, 0.0], "color": [0.04025813754076657, 0.031029998880712117, 0.247283303732877]}], "medium": [{"name": "rectangle", "size": [39.062, 23.943268295611457], "center": [0.0, 0.0], "color": [0.212119850179739, 0.7978323568280965, 0.34033884316428364]}, {"name": "rectangle", "size": [20.42, 33.314], "center": [0.0, 0.0], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [17.17, 19.53], "center": [8.326672684688674e-17, 0.0], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [39.062, 34.342], "center": [0.0, -4.163336342344337e-16], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}], "hard": [{"name": "rectangle", "size": [39.062, 23.94326829561146], "center": [0.0, -8.881784197001252e-16], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [46.416, 43.05], "center": [0.0, 0.0], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [20.42, 33.314], "center": [0.0, 0.0], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [39.062, 34.342], "center": [0.0, -4.163336342344337e-16], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [59.525000000000006, 31.971999999999998], "center": [5.921189464667501e-16, 0.0], "color": [0.8978113473991952, 0.4882294775502505, 0.2729353117632566]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [39.062, 34.342], "center": [0.0, -4.163336342344337e-16], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_1.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_1.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_1.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_1.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "D"}
1steps_hard_no_100
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
hard
{"instance_id": 100, "shape_A": {"name": "pentagon", "facecolor": [0.03245194873702206, 0.6352457292026804, 0.24131348185129242], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [59.86112195051914, 62.94170843149102]}, "shape_B": {"name": "hexagon", "facecolor": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.87327282036881, 56.181902289077954]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_100.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_100.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_100.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_100.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_100.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_100.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_100.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [64.874, 56.182], "center": [-2.3684757858670005e-15, 0.0], "color": [0.7175577096852506, 0.7116305524229208, 0.6666397815493765]}, {"name": "hexagon", "size": [65.07, 84.614], "center": [5.921189464667501e-16, 5.921189464667501e-16], "color": [0.20121864131990086, 0.12550210774153991, 0.5615484249177809]}, {"name": "hexagon", "size": [56.182, 64.874], "center": [0.0, 5.921189464667501e-16], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}, {"name": "hexagon", "size": [28.092, 32.436], "center": [0.0, 5.921189464667501e-16], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}], "medium": [{"name": "hexagon", "size": [64.874, 56.182], "center": [5.921189464667501e-16, 0.0], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}, {"name": "hexagon", "size": [32.436, 28.09], "center": [-5.921189464667501e-16, 0.0], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}, {"name": "hexagon", "size": [56.182, 45.07383012020391], "center": [5.921189464667501e-16, 0.0], "color": [0.004324391046847675, 0.12050138513850484, 0.48267685086702905]}, {"name": "hexagon", "size": [56.182, 64.874], "center": [0.0, 5.921189464667501e-16], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}], "hard": [{"name": "hexagon", "size": [32.436, 28.09], "center": [5.921189464667501e-16, 0.0], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}, {"name": "hexagon", "size": [56.182, 64.874], "center": [0.0, 5.921189464667501e-16], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}, {"name": "hexagon", "size": [38.26, 37.794], "center": [0.0, 0.0], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}, {"name": "hexagon", "size": [56.182, 54.65261362024848], "center": [5.921189464667501e-16, 5.921189464667501e-16], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [61.566, 62.596999999999994], "center": [7.105427357601002e-16, -0.00019999999999953388], "color": [0.03245194873702206, 0.6352457292026804, 0.24131348185129242]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [56.182, 64.874], "center": [0.0, 5.921189464667501e-16], "color": [0.6660313537472322, 0.4614262095358803, 0.9003090017369791]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_100.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_100.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_100.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_100.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_100.png", "instructions": [["rotate", 30]], "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 counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "B"}
1steps_hard_no_34
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
hard
{"instance_id": 34, "shape_A": {"name": "square", "facecolor": [0.03803125644545802, 0.3880638493931169, 0.08360802950368373], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.254010830888145, 31.254010830888145]}, "shape_B": {"name": "hexagon", "facecolor": [0.9745076014769779, 0.768549212891097, 0.7249101573073962], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.46821289448482, 60.16123712212956]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_34.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [34.734, 30.08], "center": [5.921189464667501e-16, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [69.468, 60.162000000000006], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.038430021282184645, 0.901519612251167, 0.6843166070704308]}, {"name": "hexagon", "size": [79.014, 52.524], "center": [-2.9605947323337506e-16, 0.0], "color": [0.005901607731084391, 0.003420953174767316, 0.0584175423808847]}, {"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}], "medium": [{"name": "hexagon", "size": [30.08, 34.734], "center": [0.0, 0.00033333333333344467], "color": [0.33150863537640063, 0.08994697267781104, 0.9315626464918535]}, {"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [69.468, 60.162000000000006], "center": [-1.1842378929335002e-15, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [60.162000000000006, 52.102640697875295], "center": [-8.881784197001252e-16, 2.3684757858670005e-15], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}], "hard": [{"name": "hexagon", "size": [69.468, 60.162], "center": [1.1842378929335002e-15, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [72.942, 74.628], "center": [-8.881784197001252e-16, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [60.162000000000006, 52.10264069787529], "center": [-8.881784197001252e-16, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [42.694, 42.694], "center": [0.0, 2.220446049250313e-16], "color": [0.03803125644545802, 0.3880638493931169, 0.08360802950368373]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_34.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_34.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_34.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_34.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "D", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "B", "hard": "C"}
1steps_hard_no_82
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
hard
{"instance_id": 82, "shape_A": {"name": "hexagon", "facecolor": [0.608152936633627, 0.6600502477660397, 0.3680908863446112], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.24210143808655, 54.76926643409533]}, "shape_B": {"name": "triangle", "facecolor": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448], "edgecolor": "black", "center": [-1.1842378929335002e-15, -5.921189464667501e-16], "size": [35.52957755019723, 54.61907480863481]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_82.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_82.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_82.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_82.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_82.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_82.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_82.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [9.497, 61.862], "center": [-0.8864999999999998, 9.099], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [0.0, 0.0], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [56.938, 63.007], "center": [-5.25, 9.6705], "color": [0.9424042139435632, 0.8942200740332531, 0.7736401224851124]}, {"name": "triangle", "size": [35.53, 54.619], "center": [3.786, -6.471166666666666], "color": [0.6452377287783989, 0.5006236669721122, 0.7748420369573492]}], "medium": [{"name": "triangle", "size": [9.497, 14.599398902336052], "center": [-1.0119797917253024, 1.7297120696125354], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [27.064999999999998, 16.37], "center": [4.2441666666666675, 1.0546666666666666], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [0.0, 0.0], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [-0.8864999999999998, 9.099], "color": [0.1723028698824005, 0.9371921203401827, 0.7857739043871413]}], "hard": [{"name": "triangle", "size": [9.497, 14.599398902336054], "center": [1.0119797917253024, -1.729712069612533], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [54.131, 32.741], "center": [-8.4885, -2.1095], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [0.0, 0.0], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [-0.8864999999999998, 9.099], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [54.77, 63.242], "center": [0.0, 5.921189464667501e-16], "color": [0.608152936633627, 0.6600502477660397, 0.3680908863446112]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [9.497, 61.862], "center": [0.0, 0.0], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_82.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_82.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_82.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_82.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n\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": "C"}
1steps_hard_no_43
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the right and significantly upward. <shapeB_step_0> 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]]]
hard
{"instance_id": 43, "shape_A": {"name": "square", "facecolor": [0.518934989443789, 0.9562589778473904, 0.9495770771065521], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.421245432079395, 32.421245432079395]}, "shape_B": {"name": "triangle", "facecolor": [0.48776838014277246, 0.6801030657239612, 0.824861990375124], "edgecolor": "black", "center": [0.0, 0.0], "size": [47.64306422710757, 58.22121015747649]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_43.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_43.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_43.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_43.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_43.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_43.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_43.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [20.29, 22.064999999999998], "center": [3.0083333333333333, 2.0905], "color": [0.28347880356301947, 0.7697593777809609, 0.08713702883714569]}, {"name": "triangle", "size": [47.643, 58.221000000000004], "center": [10.000000000000002, 30.0], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [47.643, 58.221000000000004], "center": [-1.9675, -5.958500000000001], "color": [0.7763337072272561, 0.17732475293154248, 0.3829323918798473]}, {"name": "triangle", "size": [64.753, 41.462], "center": [4.084166666666666, -1.2870000000000001], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}], "medium": [{"name": "triangle", "size": [47.643, 58.221000000000004], "center": [10.000000000000002, 30.0], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [64.753, 41.462], "center": [-4.084499999999999, -1.2870000000000001], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [47.643, 58.221000000000004], "center": [-1.9675, -5.958500000000001], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [29.111, 23.820999999999998], "center": [-2.9795, 0.9834999999999994], "color": [0.136125273500193, 0.8510131389368888, 0.8824899944618507]}], "hard": [{"name": "triangle", "size": [64.513, 31.358], "center": [9.0415, -0.6959999999999997], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [47.643, 58.221000000000004], "center": [10.000000000000002, 30.0], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [47.643, 58.221000000000004], "center": [-1.9675, -5.958500000000001], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}, {"name": "triangle", "size": [47.642999999999994, 21.245919766960057], "center": [2.1536448966010826, 2.4494582574739776], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.422, 32.422], "center": [10.0, 30.0], "color": [0.518934989443789, 0.9562589778473904, 0.9495770771065521]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [47.643, 58.221000000000004], "center": [10.000000000000002, 30.0], "color": [0.48776838014277246, 0.6801030657239612, 0.824861990375124]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_43.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_43.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_43.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_43.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_43.png", "instructions": [["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the right and significantly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "B"}
1steps_hard_no_37
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [30, -30]]]
hard
{"instance_id": 37, "shape_A": {"name": "hexagon", "facecolor": [0.669417138841795, 0.811689778412918, 0.34273713541625694], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.55598325042068, 53.30904524979371]}, "shape_B": {"name": "ellipse", "facecolor": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338], "edgecolor": "black", "center": [1.3322676295501878e-15, 3.774758283725532e-16], "size": [33.15762261543205, 21.632665340852334]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_37.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.158, 21.632], "center": [-1.0658141036401502e-15, 7.105427357601002e-16], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [21.631999999999998, 33.158], "center": [8.881784197001253e-17, -8.881784197001253e-17], "color": [0.1479719695077395, 0.22362521174913785, 0.7834764511805218]}, {"name": "ellipse", "size": [15.325999999999997, 12.484000000000002], "center": [8.881784197001253e-17, 2.500000000047464e-05], "color": [0.3003424912815823, 0.8631259147647192, 0.1064968021517172]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [29.999999999999993, -30.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}], "medium": [{"name": "ellipse", "size": [14.113385933164436, 21.632], "center": [-1.1102230246251566e-17, 4.4408920985006264e-17], "color": [0.15004624828972257, 0.4285426176536714, 0.8965813077413666]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [-1.0658141036401502e-15, 7.105427357601002e-16], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [21.631999999999998, 33.158], "center": [8.881784197001253e-17, 0.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [29.999999999999993, -30.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}], "hard": [{"name": "ellipse", "size": [21.631999999999998, 33.158], "center": [8.881784197001253e-17, 8.881784197001253e-17], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [-1.0658141036401502e-15, 7.105427357601002e-16], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [33.158, 21.632], "center": [29.999999999999993, -30.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}, {"name": "ellipse", "size": [14.112534652270945, 21.632000000000005], "center": [1.2434497875801752e-15, -4.440892098500626e-16], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [61.556, 53.31], "center": [30.0, -30.0], "color": [0.669417138841795, 0.811689778412918, 0.34273713541625694]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.158, 21.632], "center": [29.999999999999993, -30.0], "color": [0.16560393515841498, 0.6726117990425395, 0.11423701852537338]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_37.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_37.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_37.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_37.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_37.png", "instructions": [["translate", [30, -30]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>\n\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": "C"}
1steps_hard_no_101
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> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', 60]]
hard
{"instance_id": 101, "shape_A": {"name": "rectangle", "facecolor": [0.4286103694029272, 0.21983952405210871, 0.16389177698089252], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.629883255451308, 24.027644220255404]}, "shape_B": {"name": "triangle", "facecolor": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527], "edgecolor": "black", "center": [1.1842378929335002e-15, 0.0], "size": [13.015201290496858, 65.22893875006488]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_101.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_101.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_101.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_101.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_101.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_101.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_101.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [62.997, 28.374], "center": [-8.542499999999999, 2.385333333333333], "color": [0.33051585564274477, 0.9810204363951056, 0.13659843033263275]}, {"name": "triangle", "size": [31.499000000000002, 14.187], "center": [-4.2715, 1.1925], "color": [0.42875502656251063, 0.12451195015112537, 0.8498348903717695]}, {"name": "triangle", "size": [13.015999999999998, 65.229], "center": [0.839000000000001, 10.3485], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}, {"name": "triangle", "size": [62.997, 28.374], "center": [-1.1842378929335002e-15, 0.00033333333333344467], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}], "medium": [{"name": "triangle", "size": [62.997, 28.374], "center": [-8.542499999999999, 2.385333333333333], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}, {"name": "triangle", "size": [62.997, 28.374], "center": [-1.1842378929335002e-15, 0.00033333333333344467], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}, {"name": "triangle", "size": [62.99699999999999, 12.56849544688027], "center": [9.99472563237774, -0.8102787521079241], "color": [0.07033956733617863, 0.579906975265761, 0.05559559141230619]}, {"name": "triangle", "size": [13.016000000000002, 65.229], "center": [0.8389999999999986, -10.3485], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}], "hard": [{"name": "triangle", "size": [65.229, 13.014], "center": [10.3485, -0.8389999999999999], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}, {"name": "triangle", "size": [62.997, 28.374], "center": [-8.542499999999999, 2.385333333333333], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}, {"name": "triangle", "size": [62.997, 28.374], "center": [-1.1842378929335002e-15, 0.00033333333333344467], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}, {"name": "triangle", "size": [5.660880515100413, 28.373999999999995], "center": [0.3649514947110208, 4.501648413306761], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [36.624, 39.406], "center": [0.0, 0.0], "color": [0.4286103694029272, 0.21983952405210871, 0.16389177698089252]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [62.997, 28.374], "center": [-1.1842378929335002e-15, 0.00033333333333344467], "color": [0.017452062661506784, 0.6468680608555545, 0.22354519587187527]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_101.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_101.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_101.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_101.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_101.png", "instructions": [["rotate", 60]], "correct_answer": {"easy": "D", "medium": "B", "hard": "C"}, "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\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "B", "hard": "C"}
1steps_hard_no_58
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right and slightly downward. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [10, -10]]]
hard
{"instance_id": 58, "shape_A": {"name": "circle", "facecolor": [0.39441899337053987, 0.8314752779425982, 0.4433840218168307], "edgecolor": "black", "center": [-2.6645352591003756e-16, -2.264854970235319e-15], "size": [63.707355392203894, 63.707355392203894]}, "shape_B": {"name": "hexagon", "facecolor": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.91886238919145, 57.087409417610374]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_58.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [-2.3684757858670005e-15, 0.0], "color": [0.010323368122617582, 0.5724429065403671, 0.228269170694268]}, {"name": "hexagon", "size": [28.544, 32.96], "center": [0.0, -5.921189464667501e-16], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [10.0, -9.999999999999998], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [57.087999999999994, 65.918], "center": [-1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.2183886372202004, 0.525721577653499, 0.939392949297939]}], "medium": [{"name": "hexagon", "size": [57.087999999999994, 65.918], "center": [0.0, -1.7763568394002505e-15], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [10.0, -9.999999999999998], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [61.298, 75.166], "center": [-4.440892098500626e-16, 0.0], "color": [0.26866823692135844, 0.42840064153749335, 0.3352411150644017]}, {"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [-2.3684757858670005e-15, 0.0], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}], "hard": [{"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [-2.3684757858670005e-15, 0.0], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [32.96, 28.543999999999997], "center": [-8.881784197001252e-16, 5.921189464667501e-16], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [49.43931650485437, 57.087999999999994], "center": [0.0, -1.1842378929335002e-15], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}, {"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [10.0, -9.999999999999998], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [63.708, 63.708], "center": [9.999999999999998, -9.999999999999998], "color": [0.39441899337053987, 0.8314752779425982, 0.4433840218168307]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [65.918, 57.087999999999994], "center": [10.0, -9.999999999999998], "color": [0.01876305578035442, 0.23159932057949328, 0.07487117536293153]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_58.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_58.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_58.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_58.png", "instructions": [["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "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 right and slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "B", "hard": "D"}