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Visual Manipulation 1

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> - Reduce the size of the circle, making it smaller. <shapeB_step_1> - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_2> 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], ['scale', 0.5], ['translate', [30, 0]]]

easy

{"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [0, 0], "size": 26.03726031366891}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926], "edgecolor": "black", "center": [0, 0], "size": 16.981393949882268}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_0.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_0.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_0.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_0.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_0.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5], ["scale", 0.5], ["translate", [30, 0]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "A", "medium": "D", "hard": "C"}

easy_no_1

Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the left and slightly downward. <shapeB_step_0> - Shift the circle a little to the right and significantly downward. <shapeB_step_1> - Reduce the size of the circle, making it smaller. <shapeB_step_2> 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]], ['translate', [10, -30]], ['scale', 0.5]]

easy

{"instance_id": 1, "shape_A": {"name": "hexagon", "facecolor": [0.997325777989161, 0.13833174489085587, 0.493515834889631], "edgecolor": "black", "center": [0, 0], "size": 25.532258962152873}, "shape_B": {"name": "circle", "facecolor": [0.913136124185545, 0.5671800514785023, 0.717914270718976], "edgecolor": "black", "center": [0, 0], "size": 11.599820017224502}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_1.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_1.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_1.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_1.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_1.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_1.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_1.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_1.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_1.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_1.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_1.png", "instructions": [["translate", [0, -10]], ["translate", [10, -30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the left and slightly downward. <shapeB_step_0>\n- Shift the circle a little to the right and significantly downward. <shapeB_step_1>\n- Reduce the size of the circle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "A", "medium": "A", "hard": "D"}

easy_no_2

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> - Reduce the size of the circle, making it smaller. <shapeB_step_1> - Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2> 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]], ['scale', 0.5], ['flip', 'horizontal']]

easy

{"instance_id": 2, "shape_A": {"name": "pentagon", "facecolor": [0.4729729429445937, 0.4070599614859366, 0.09432579649188222], "edgecolor": "black", "center": [0, 0], "size": 27.282135884411826}, "shape_B": {"name": "circle", "facecolor": [0.06402589632634492, 0.02103426000705888, 0.5539215224244798], "edgecolor": "black", "center": [0, 0], "size": 16.58982749514663}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_2.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_2.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_2.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_2.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_2.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_2.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_2.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_2.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_2.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_2.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_2.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_2.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_2.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_2.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_2.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_2.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_2.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_2.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_2.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_2.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_2.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_2.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_2.png", "instructions": [["translate", [-30, 30]], ["scale", 0.5], ["flip", "horizontal"]], "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- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\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"}

easy_no_6

Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 60 degrees couter-clockwise around its center. <shapeB_step_0> - Rotate the rectangle by 30 degrees couter-clockwise around its center. <shapeB_step_1> - Shift the rectangle a little to the left and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

A

[['rotate', 60], ['rotate', 30], ['translate', [-10, -10]]]

easy

{"instance_id": 6, "shape_A": {"name": "square", "facecolor": [0.09305335055467168, 0.22159640047253015, 0.6917871552952018], "edgecolor": "black", "center": [0, 0], "size": 22.163846398786056}, "shape_B": {"name": "rectangle", "facecolor": [0.3062060301300884, 0.5815555853323672, 0.47326048875952476], "edgecolor": "black", "center": [0, 0], "size": [24.841985872127086, 17.245850010930518]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_6.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_6.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_6.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_6.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_6.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_6.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_6.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_6.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_6.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_6.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_6.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_6.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_6.png", "instructions": [["rotate", 60], ["rotate", 30], ["translate", [-10, -10]]], "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 - Rotate the rectangle by 60 degrees couter-clockwise around its center. <shapeB_step_0>\n- Rotate the rectangle by 30 degrees couter-clockwise around its center. <shapeB_step_1>\n- Shift the rectangle a little to the left and slightly downward. <shapeB_step_2>\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"}

easy_no_7

Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the right and slightly downward. <shapeB_step_0> - Increase the size of the ellipse, making it larger. <shapeB_step_1> - Increase the size of the ellipse, making it larger. <shapeB_step_2> 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]], ['scale', 2.0], ['scale', 2.0]]

easy

{"instance_id": 7, "shape_A": {"name": "rectangle", "facecolor": [0.15705709338087714, 0.17381354832643447, 0.07506486890116792], "edgecolor": "black", "center": [0, 0], "size": [24.25138966104212, 15.445623787105786]}, "shape_B": {"name": "ellipse", "facecolor": [0.2912592890310276, 0.23147623455602584, 0.7069558298790333], "edgecolor": "black", "center": [0, 0], "size": [29.08411445212606, 18.266311596500596]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_7.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_7.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_7.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_7.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_7.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_7.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_7.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_7.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_7.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_7.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_7.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_7.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_7.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_7.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_7.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_7.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_7.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_7.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_7.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_7.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_7.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_7.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_7.png", "instructions": [["translate", [10, -10]], ["scale", 2.0], ["scale", 2.0]], "correct_answer": {"easy": "B", "medium": "B", "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 downward. <shapeB_step_0>\n- Increase the size of the ellipse, making it larger. <shapeB_step_1>\n- Increase the size of the ellipse, making it larger. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "B", "medium": "B", "hard": "B"}

easy_no_8

Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. <shapeB_step_0> - Increase the size of the hexagon, making it larger. <shapeB_step_1> - Shift the hexagon a little to the left and significantly upward. <shapeB_step_2> 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], ['scale', 2.0], ['translate', [0, 30]]]

easy

{"instance_id": 8, "shape_A": {"name": "ellipse", "facecolor": [0.41549034293535303, 0.4824995769578563, 0.47221978190340774], "edgecolor": "black", "center": [0, 0], "size": [22.67172663066905, 10.025652593585772]}, "shape_B": {"name": "hexagon", "facecolor": [0.45678647273231354, 0.14464196848560873, 0.19061037094792832], "edgecolor": "black", "center": [0, 0], "size": 27.260509826135326}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_8.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_8.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_8.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_8.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_8.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_8.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_8.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_8.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_8.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_8.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_8.png", "instructions": [["scale", 0.5], ["scale", 2.0], ["translate", [0, 30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Increase the size of the hexagon, making it larger. <shapeB_step_1>\n- Shift the hexagon a little to the left and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "A", "medium": "D", "hard": "D"}

easy_no_9

Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the left by a significant amount and slightly downward. <shapeB_step_0> - Reduce the size of the hexagon, making it smaller. <shapeB_step_1> - Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2> 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]], ['scale', 0.5], ['flip', 'vertical']]

easy

{"instance_id": 9, "shape_A": {"name": "ellipse", "facecolor": [0.06842074718155144, 0.6311610168546405, 0.9209290987802967], "edgecolor": "black", "center": [0, 0], "size": [22.933677759652088, 13.748410897753148]}, "shape_B": {"name": "hexagon", "facecolor": [0.9974259229562153, 0.746766366737927, 0.4339714719231257], "edgecolor": "black", "center": [0, 0], "size": 21.455697956993983}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_9.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_9.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_9.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_9.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_9.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_9.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_9.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_9.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_9.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_9.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_9.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_9.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_9.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_9.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_9.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_9.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_9.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_9.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_9.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_9.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_9.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_9.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_9.png", "instructions": [["translate", [-30, -10]], ["scale", 0.5], ["flip", "vertical"]], "correct_answer": {"easy": "A", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\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"}

easy_no_10

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> - Shift the circle a little to the left and significantly downward. <shapeB_step_1> - Reduce the size of the circle, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

B

[['translate', [30, 10]], ['translate', [-10, -30]], ['scale', 0.5]]

easy

{"instance_id": 10, "shape_A": {"name": "triangle", "facecolor": [0.039422573960817386, 0.7886104840101539, 0.033364531245632434], "edgecolor": "black", "center": [0, 0], "size": 29.441878160971985}, "shape_B": {"name": "circle", "facecolor": [0.21900453892810545, 0.1901319892770883, 0.25062680004361604], "edgecolor": "black", "center": [0, 0], "size": 15.0179476226484}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_10.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_10.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_10.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_10.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_10.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_10.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_10.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_10.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_10.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_10.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_10.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_10.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_10.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_10.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_10.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_10.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_10.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_10.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_10.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_10.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_10.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_10.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_10.png", "instructions": [["translate", [30, 10]], ["translate", [-10, -30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "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 right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the circle a little to the left and significantly downward. <shapeB_step_1>\n- Reduce the size of the circle, making it smaller. <shapeB_step_2>\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"}

easy_no_11

Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Rotate the pentagon by 90 degrees couter-clockwise around its center. <shapeB_step_0> - Rotate the pentagon by 30 degrees couter-clockwise around its center. <shapeB_step_1> - Rotate the pentagon by 60 degrees couter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

D

[['rotate', 90], ['rotate', 30], ['rotate', 60]]

easy

{"instance_id": 11, "shape_A": {"name": "rectangle", "facecolor": [0.18980856216107955, 0.12215971908726375, 0.848033188463681], "edgecolor": "black", "center": [0, 0], "size": [23.285595534322304, 11.475541799414437]}, "shape_B": {"name": "pentagon", "facecolor": [0.0686101528243559, 0.7651573758885845, 0.2071573703466585], "edgecolor": "black", "center": [0, 0], "size": 21.299921314434368}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_11.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_11.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_11.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_11.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_11.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_11.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_11.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_11.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_11.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_11.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_11.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_11.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_11.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_11.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_11.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_11.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_11.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_11.png", "instructions": [["rotate", 90], ["rotate", 30], ["rotate", 60]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 90 degrees couter-clockwise around its center. <shapeB_step_0>\n- Rotate the pentagon by 30 degrees couter-clockwise around its center. <shapeB_step_1>\n- Rotate the pentagon by 60 degrees couter-clockwise around its center. <shapeB_step_2>\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"}

easy_no_12

Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Reduce the size of the square, making it smaller. <shapeB_step_0> - Shift the square a little to the left and significantly downward. <shapeB_step_1> - Shift the square a little to the left and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

D

[['scale', 0.5], ['translate', [-10, -30]], ['translate', [0, -10]]]

easy

{"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.32964598141620505, 0.1222312853545593, 0.35359807963376766], "edgecolor": "black", "center": [0, 0], "size": [21.082183819272664, 18.45373418601345]}, "shape_B": {"name": "square", "facecolor": [0.06713330813664775, 0.8317718884748545, 0.0932301017036774], "edgecolor": "black", "center": [0, 0], "size": 25.779185183898548}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_12.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_12.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_12.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_12.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_12.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_12.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_12.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_12.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_12.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_12.png", "instructions": [["scale", 0.5], ["translate", [-10, -30]], ["translate", [0, -10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Shift the square a little to the left and significantly downward. <shapeB_step_1>\n- Shift the square a little to the left and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "D", "medium": "A", "hard": "B"}

easy_no_13

Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_0> - Increase the size of the hexagon, making it larger. <shapeB_step_1> - Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2> 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]], ['scale', 2.0], ['flip', 'vertical']]

easy

{"instance_id": 13, "shape_A": {"name": "triangle", "facecolor": [0.20442312435373178, 0.945324087226644, 0.7673495273086041], "edgecolor": "black", "center": [0, 0], "size": 24.36219595512312}, "shape_B": {"name": "hexagon", "facecolor": [0.49738532861332685, 0.43065501135360296, 0.12918570175921495], "edgecolor": "black", "center": [0, 0], "size": 23.130606306773362}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_13.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_13.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_13.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_13.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_13.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_13.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_13.png", "instructions": [["translate", [-30, 30]], ["scale", 2.0], ["flip", "vertical"]], "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 - Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Increase the size of the hexagon, making it larger. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\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"}

easy_no_14

Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees couter-clockwise around its center. <shapeB_step_0> - Increase the size of the hexagon, making it larger. <shapeB_step_1> - Increase the size of the hexagon, making it larger. <shapeB_step_2> 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], ['scale', 2.0], ['scale', 2.0]]

easy

{"instance_id": 14, "shape_A": {"name": "ellipse", "facecolor": [0.8552933714560903, 0.6150083884155736, 0.5070678173339551], "edgecolor": "black", "center": [0, 0], "size": [21.035018772703918, 18.991268339557735]}, "shape_B": {"name": "hexagon", "facecolor": [0.4627116589272723, 0.5543163713383039, 0.7918177972653585], "edgecolor": "black", "center": [0, 0], "size": 23.434377758382677}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_14.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_14.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_14.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_14.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_14.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_14.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_14.png", "instructions": [["rotate", 30], ["scale", 2.0], ["scale", 2.0]], "correct_answer": {"easy": "C", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees couter-clockwise around its center. <shapeB_step_0>\n- Increase the size of the hexagon, making it larger. <shapeB_step_1>\n- Increase the size of the hexagon, making it larger. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "C", "medium": "D", "hard": "A"}

easy_no_16

Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the triangle, making it smaller. <shapeB_step_0> - Shift the triangle to the left by a significant amount and slightly downward. <shapeB_step_1> - Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

B

[['scale', 0.5], ['translate', [-30, -10]], ['flip', 'horizontal']]

easy

{"instance_id": 16, "shape_A": {"name": "hexagon", "facecolor": [0.25365026106921273, 0.016242231108947625, 0.7885200162795153], "edgecolor": "black", "center": [0, 0], "size": 27.791425934782815}, "shape_B": {"name": "triangle", "facecolor": [0.9883314855964674, 0.5541519524181955, 0.3904537325600641], "edgecolor": "black", "center": [0, 0], "size": 25.460137452076914}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_16.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_16.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_16.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_16.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_16.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_16.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_16.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_16.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_16.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_16.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_16.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_16.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_16.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_16.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_16.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_16.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_16.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_16.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_16.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_16.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_16.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_16.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_16.png", "instructions": [["scale", 0.5], ["translate", [-30, -10]], ["flip", "horizontal"]], "correct_answer": {"easy": "B", "medium": "D", "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- Shift the triangle to the left by a significant amount and slightly downward. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\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"}

easy_no_17

Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Increase the size of the square, making it larger. <shapeB_step_0> - Shift the square a little to the right and slightly downward. <shapeB_step_1> - Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_2> 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', 2.0], ['translate', [10, -10]], ['flip', 'vertical']]

easy

{"instance_id": 17, "shape_A": {"name": "ellipse", "facecolor": [0.2745553600748576, 0.9800272791942791, 0.9479043786030863], "edgecolor": "black", "center": [0, 0], "size": [27.785153735068654, 13.663284731071485]}, "shape_B": {"name": "square", "facecolor": [0.30649585609075247, 0.6026216277305998, 0.4261160728830454], "edgecolor": "black", "center": [0, 0], "size": 26.075729033208553}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_17.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_17.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_17.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_17.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_17.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_17.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_17.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_17.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_17.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_17.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_17.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_17.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_17.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_17.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_17.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_17.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_17.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_17.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_17.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_17.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_17.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_17.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_17.png", "instructions": [["scale", 2.0], ["translate", [10, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "C", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Increase the size of the square, making it larger. <shapeB_step_0>\n- Shift the square a little to the right and slightly downward. <shapeB_step_1>\n- Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "C", "medium": "A", "hard": "B"}

easy_no_18

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> - Rotate the ellipse by 30 degrees couter-clockwise around its center. <shapeB_step_1> - Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

D

[['translate', [10, 30]], ['rotate', 30], ['flip', 'vertical']]

easy

{"instance_id": 18, "shape_A": {"name": "hexagon", "facecolor": [0.08621548165193271, 0.30929071752846216, 0.9995950439343869], "edgecolor": "black", "center": [0, 0], "size": 28.779601516504115}, "shape_B": {"name": "ellipse", "facecolor": [0.8036617262885865, 0.5516469339264275, 0.6119483626205209], "edgecolor": "black", "center": [0, 0], "size": [26.80108990649581, 13.445147807026997]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_18.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_18.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_18.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_18.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_18.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_18.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_18.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_18.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_18.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_18.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_18.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_18.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_18.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_18.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_18.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_18.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_18.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_18.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_18.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_18.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_18.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_18.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_18.png", "instructions": [["translate", [10, 30]], ["rotate", 30], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "B", "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 significantly upward. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees couter-clockwise around its center. <shapeB_step_1>\n- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\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"}

easy_no_20

Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the left and significantly upward. <shapeB_step_0> - Reduce the size of the rectangle, making it smaller. <shapeB_step_1> - Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_2> 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]], ['scale', 0.5], ['translate', [-30, 0]]]

easy

{"instance_id": 20, "shape_A": {"name": "triangle", "facecolor": [0.7746061298338109, 0.38019033631515275, 0.8216612911278522], "edgecolor": "black", "center": [0, 0], "size": 27.057752321517654}, "shape_B": {"name": "rectangle", "facecolor": [0.480448783714414, 0.524232332624683, 0.7211828352491244], "edgecolor": "black", "center": [0, 0], "size": [28.48376994847039, 17.274020989409184]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_20.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_20.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_20.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_20.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_20.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_20.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_20.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_20.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_20.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_20.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_20.png", "instructions": [["translate", [0, 30]], ["scale", 0.5], ["translate", [-30, 0]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and significantly upward. <shapeB_step_0>\n- Reduce the size of the rectangle, making it smaller. <shapeB_step_1>\n- Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "C", "medium": "C", "hard": "D"}

easy_no_21

Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 30 degrees couter-clockwise around its center. <shapeB_step_0> - Shift the rectangle to the right by a significant amount and significantly upward. <shapeB_step_1> - Rotate the rectangle by 60 degrees couter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

A

[['rotate', 30], ['translate', [30, 30]], ['rotate', 60]]

easy

{"instance_id": 21, "shape_A": {"name": "pentagon", "facecolor": [0.7386865222686355, 0.8503331015755935, 0.037298246571643046], "edgecolor": "black", "center": [0, 0], "size": 27.490032014409554}, "shape_B": {"name": "rectangle", "facecolor": [0.15794107621094167, 0.6528927977012998, 0.8806474572300882], "edgecolor": "black", "center": [0, 0], "size": [28.37604889093255, 19.339226105782004]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_21.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_21.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_21.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_21.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_21.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_21.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_21.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_21.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_21.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_21.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_21.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_21.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_21.png", "instructions": [["rotate", 30], ["translate", [30, 30]], ["rotate", 60]], "correct_answer": {"easy": "A", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 30 degrees couter-clockwise around its center. <shapeB_step_0>\n- Shift the rectangle to the right by a significant amount and significantly upward. <shapeB_step_1>\n- Rotate the rectangle by 60 degrees couter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "A", "medium": "C", "hard": "A"}

easy_no_22

Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Rotate the ellipse by 90 degrees couter-clockwise around its center. <shapeB_step_0> - Increase the size of the ellipse, making it larger. <shapeB_step_1> - Rotate the ellipse by 90 degrees couter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

D

[['rotate', 90], ['scale', 2.0], ['rotate', 90]]

easy

{"instance_id": 22, "shape_A": {"name": "pentagon", "facecolor": [0.21912860093534392, 0.13356878219680413, 0.1531855646891792], "edgecolor": "black", "center": [0, 0], "size": 22.474654293085777}, "shape_B": {"name": "ellipse", "facecolor": [0.703557035102256, 0.3109779483846603, 0.11741574584477632], "edgecolor": "black", "center": [0, 0], "size": [25.37517687693201, 16.640944393396637]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_22.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_22.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_22.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_22.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_22.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_22.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_22.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_22.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_22.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_22.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_22.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_22.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_22.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_22.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_22.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_22.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_22.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_22.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_22.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_22.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_22.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_22.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_22.png", "instructions": [["rotate", 90], ["scale", 2.0], ["rotate", 90]], "correct_answer": {"easy": "D", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Rotate the ellipse by 90 degrees couter-clockwise around its center. <shapeB_step_0>\n- Increase the size of the ellipse, making it larger. <shapeB_step_1>\n- Rotate the ellipse by 90 degrees couter-clockwise around its center. <shapeB_step_2>\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"}

easy_no_24

Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 90 degrees couter-clockwise around its center. <shapeB_step_0> - Reduce the size of the circle, making it smaller. <shapeB_step_1> - Rotate the circle by 30 degrees couter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

A

[['rotate', 90], ['scale', 0.5], ['rotate', 30]]

easy

{"instance_id": 24, "shape_A": {"name": "triangle", "facecolor": [0.4883163212541324, 0.9168993896943668, 0.5421368553513551], "edgecolor": "black", "center": [0, 0], "size": 23.73200692686812}, "shape_B": {"name": "circle", "facecolor": [0.2573267576348828, 0.8215919396923563, 0.9665082672503437], "edgecolor": "black", "center": [0, 0], "size": 12.314333920774455}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_24.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_24.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_24.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_24.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_24.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_24.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_24.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_24.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_24.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_24.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_24.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_24.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_24.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_24.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_24.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_24.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_24.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_24.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_24.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_24.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_24.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_24.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_24.png", "instructions": [["rotate", 90], ["scale", 0.5], ["rotate", 30]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees couter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Rotate the circle by 30 degrees couter-clockwise around its center. <shapeB_step_2>\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"}

easy_no_25

Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the right by a significant amount and significantly downward. <shapeB_step_0> - Shift the triangle a little to the right and slightly downward. <shapeB_step_1> - Shift the triangle a little to the left and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

B

[['translate', [30, -30]], ['translate', [10, 0]], ['translate', [0, -10]]]

easy

{"instance_id": 25, "shape_A": {"name": "square", "facecolor": [0.2684067971492107, 0.14593482064654784, 0.16720740075913265], "edgecolor": "black", "center": [0, 0], "size": 24.306162209471722}, "shape_B": {"name": "triangle", "facecolor": [0.36112491228952803, 0.9442222956313943, 0.7208994524555927], "edgecolor": "black", "center": [0, 0], "size": 25.943929190644955}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_25.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_25.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_25.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_25.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_25.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_25.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_25.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_25.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_25.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_25.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_25.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_25.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_25.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_25.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_25.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_25.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_25.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_25.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_25.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_25.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_25.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_25.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_25.png", "instructions": [["translate", [30, -30]], ["translate", [10, 0]], ["translate", [0, -10]]], "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 to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the triangle a little to the right and slightly downward. <shapeB_step_1>\n- Shift the triangle a little to the left and slightly downward. <shapeB_step_2>\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"}

easy_no_26

Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 60 degrees couter-clockwise around its center. <shapeB_step_0> - Increase the size of the triangle, making it larger. <shapeB_step_1> - Rotate the triangle by 60 degrees couter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

A

[['rotate', 60], ['scale', 2.0], ['rotate', 60]]

easy

{"instance_id": 26, "shape_A": {"name": "rectangle", "facecolor": [0.6450312039067737, 0.6467436060280929, 0.9668111335686056], "edgecolor": "black", "center": [0, 0], "size": [29.977027254146535, 14.827710844915313]}, "shape_B": {"name": "triangle", "facecolor": [0.331596702081835, 0.7962310644273127, 0.10594455160608718], "edgecolor": "black", "center": [0, 0], "size": 22.95432220518406}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_26.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_26.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_26.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_26.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_26.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_26.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_26.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_26.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_26.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_26.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_26.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_26.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_26.png", "instructions": [["rotate", 60], ["scale", 2.0], ["rotate", 60]], "correct_answer": {"easy": "A", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 60 degrees couter-clockwise around its center. <shapeB_step_0>\n- Increase the size of the triangle, making it larger. <shapeB_step_1>\n- Rotate the triangle by 60 degrees couter-clockwise around its center. <shapeB_step_2>\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": "A"}

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> - Rotate the hexagon by 60 degrees couter-clockwise around its center. <shapeB_step_1> - Shift the hexagon to the right by a significant amount and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

C

[['scale', 0.5], ['rotate', 60], ['translate', [30, -10]]]

easy

{"instance_id": 27, "shape_A": {"name": "ellipse", "facecolor": [0.951841950487967, 0.48460891944568385, 0.19512849163424917], "edgecolor": "black", "center": [0, 0], "size": [20.326950868580706, 12.24843416643207]}, "shape_B": {"name": "hexagon", "facecolor": [0.38394417586795304, 0.5615820773351045, 0.6530697606129188], "edgecolor": "black", "center": [0, 0], "size": 22.88670310141213}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_27.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_27.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_27.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_27.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_27.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_27.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_27.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_27.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_27.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_27.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_27.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_27.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_27.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_27.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_27.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_27.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_27.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_27.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_27.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_27.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_27.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_27.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_27.png", "instructions": [["scale", 0.5], ["rotate", 60], ["translate", [30, -10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Rotate the hexagon by 60 degrees couter-clockwise around its center. <shapeB_step_1>\n- Shift the hexagon to the right by a significant amount and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "C", "medium": "B", "hard": "A"}

easy_no_28

Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 90 degrees couter-clockwise around its center. <shapeB_step_0> - Increase the size of the circle, making it larger. <shapeB_step_1> - Rotate the circle by 90 degrees couter-clockwise around its center. <shapeB_step_2> 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], ['scale', 2.0], ['rotate', 90]]

easy

{"instance_id": 28, "shape_A": {"name": "ellipse", "facecolor": [0.14624344342496132, 0.3220967116093769, 0.24755474002267108], "edgecolor": "black", "center": [0, 0], "size": [26.947036157275445, 18.77317356832856]}, "shape_B": {"name": "circle", "facecolor": [0.952397345438725, 0.514414988350036, 0.9001552885718592], "edgecolor": "black", "center": [0, 0], "size": 10.755162733318489}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_28.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_28.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_28.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_28.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_28.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_28.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_28.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_28.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_28.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_28.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_28.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_28.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_28.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_28.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_28.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_28.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_28.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_28.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_28.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_28.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_28.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_28.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_28.png", "instructions": [["rotate", 90], ["scale", 2.0], ["rotate", 90]], "correct_answer": {"easy": "C", "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 90 degrees couter-clockwise around its center. <shapeB_step_0>\n- Increase the size of the circle, making it larger. <shapeB_step_1>\n- Rotate the circle by 90 degrees couter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "C", "medium": "C", "hard": "A"}

easy_no_29

Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the left and significantly downward. <shapeB_step_0> - Increase the size of the circle, making it larger. <shapeB_step_1> - Reduce the size of the circle, making it smaller. <shapeB_step_2> 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, -30]], ['scale', 2.0], ['scale', 0.5]]

easy

{"instance_id": 29, "shape_A": {"name": "ellipse", "facecolor": [0.6000078672258529, 0.6075930989155233, 0.7789696525132599], "edgecolor": "black", "center": [0, 0], "size": [24.94887719943267, 11.127436626038085]}, "shape_B": {"name": "circle", "facecolor": [0.85996252460215, 0.08668803346598852, 0.10046511247763878], "edgecolor": "black", "center": [0, 0], "size": 17.478436409812495}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_29.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_29.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_29.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_29.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_29.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_29.png", "instructions": [["translate", [0, -30]], ["scale", 2.0], ["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 - Shift the circle a little to the left and significantly downward. <shapeB_step_0>\n- Increase the size of the circle, making it larger. <shapeB_step_1>\n- Reduce the size of the circle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "B", "medium": "C", "hard": "D"}

easy_no_30

Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. <shapeB_step_0> - Rotate the hexagon by 30 degrees couter-clockwise around its center. <shapeB_step_1> - Rotate the hexagon by 30 degrees couter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

C

[['scale', 0.5], ['rotate', 30], ['rotate', 30]]

easy

{"instance_id": 30, "shape_A": {"name": "square", "facecolor": [0.16383263093540756, 0.9530162017546976, 0.5230053627284083], "edgecolor": "black", "center": [0, 0], "size": 23.601238955217532}, "shape_B": {"name": "hexagon", "facecolor": [0.8071078466573698, 0.27198059502135374, 0.06387198912314807], "edgecolor": "black", "center": [0, 0], "size": 25.739123051920565}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_30.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_30.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_30.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_30.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_30.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_30.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_30.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_30.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_30.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_30.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_30.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_30.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_30.png", "instructions": [["scale", 0.5], ["rotate", 30], ["rotate", 30]], "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 - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Rotate the hexagon by 30 degrees couter-clockwise around its center. <shapeB_step_1>\n- Rotate the hexagon by 30 degrees couter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "C", "medium": "B", "hard": "D"}

easy_no_31

Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Rotate the pentagon by 30 degrees couter-clockwise around its center. <shapeB_step_0> - Shift the pentagon to the left by a significant amount and slightly downward. <shapeB_step_1> - Flip the pentagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

B

[['rotate', 30], ['translate', [-30, -10]], ['flip', 'vertical']]

easy

{"instance_id": 31, "shape_A": {"name": "rectangle", "facecolor": [0.13070828644016186, 0.2916760240569035, 0.8509137057886191], "edgecolor": "black", "center": [0, 0], "size": [23.582874459373556, 17.70336748716505]}, "shape_B": {"name": "pentagon", "facecolor": [0.10897283371843802, 0.10565775010269118, 0.4495667477403217], "edgecolor": "black", "center": [0, 0], "size": 28.075969046805415}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_31.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_31.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_31.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_31.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_31.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_31.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_31.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_31.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_31.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_31.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_31.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_31.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_31.png", "instructions": [["rotate", 30], ["translate", [-30, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "B", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 30 degrees couter-clockwise around its center. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and slightly downward. <shapeB_step_1>\n- Flip the pentagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "B", "medium": "A", "hard": "C"}

easy_no_32

Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the right and slightly downward. <shapeB_step_0> - Flip the ellipse as if there's a mirror along the horizontal line y = 0. <shapeB_step_1> - Shift the ellipse a little to the left and slightly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

B

[['translate', [10, 0]], ['flip', 'horizontal'], ['translate', [-10, 10]]]

easy

{"instance_id": 32, "shape_A": {"name": "triangle", "facecolor": [0.9083042158719234, 0.2749817690242421, 0.4460114306466564], "edgecolor": "black", "center": [0, 0], "size": 29.940872773689634}, "shape_B": {"name": "ellipse", "facecolor": [0.14863140906877392, 0.6141065777776877, 0.6169771644904075], "edgecolor": "black", "center": [0, 0], "size": [25.436566829297412, 10.195299833223492]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_32.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_32.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_32.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_32.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_32.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_32.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_32.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_32.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_32.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_32.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_32.png", "instructions": [["translate", [10, 0]], ["flip", "horizontal"], ["translate", [-10, 10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right and slightly downward. <shapeB_step_0>\n- Flip the ellipse as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Shift the ellipse a little to the left and slightly upward. <shapeB_step_2>\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"}

easy_no_33

Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_0> - Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_1> - Flip the hexagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_2> 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]], ['flip', 'vertical'], ['flip', 'horizontal']]

easy

{"instance_id": 33, "shape_A": {"name": "ellipse", "facecolor": [0.5866091750912095, 0.9172241474811186, 0.774366498819892], "edgecolor": "black", "center": [0, 0], "size": [27.91842524999872, 19.60662100368738]}, "shape_B": {"name": "hexagon", "facecolor": [0.8464808875791346, 0.8606694665915507, 0.9605587502757579], "edgecolor": "black", "center": [0, 0], "size": 26.49180265644814}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_33.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_33.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_33.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_33.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_33.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_33.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_33.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_33.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_33.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_33.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_33.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_33.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_33.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_33.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_33.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_33.png", "instructions": [["translate", [-30, 30]], ["flip", "vertical"], ["flip", "horizontal"]], "correct_answer": {"easy": "C", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "C", "medium": "D", "hard": "A"}

easy_no_34

Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees couter-clockwise around its center. <shapeB_step_0> - Shift the triangle a little to the left and slightly upward. <shapeB_step_1> - Rotate the triangle by 60 degrees couter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

C

[['rotate', 30], ['translate', [-10, 10]], ['rotate', 60]]

easy

{"instance_id": 34, "shape_A": {"name": "square", "facecolor": [0.8288069775662514, 0.7887299944762194, 0.5780554909331318], "edgecolor": "black", "center": [0, 0], "size": 28.93226172646409}, "shape_B": {"name": "triangle", "facecolor": [0.7991945657563394, 0.033412786535237826, 0.02007799833057], "edgecolor": "black", "center": [0, 0], "size": 26.53635175265351}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_34.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_34.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_34.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_34.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_34.png", "instructions": [["rotate", 30], ["translate", [-10, 10]], ["rotate", 60]], "correct_answer": {"easy": "C", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees couter-clockwise around its center. <shapeB_step_0>\n- Shift the triangle a little to the left and slightly upward. <shapeB_step_1>\n- Rotate the triangle by 60 degrees couter-clockwise around its center. <shapeB_step_2>\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": "B"}

easy_no_35

Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees couter-clockwise around its center. <shapeB_step_0> - Increase the size of the hexagon, making it larger. <shapeB_step_1> - Shift the hexagon a little to the left and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

A

[['rotate', 30], ['scale', 2.0], ['translate', [0, 30]]]

easy

{"instance_id": 35, "shape_A": {"name": "rectangle", "facecolor": [0.47482438812191996, 0.8816538694176228, 0.4762622810814686], "edgecolor": "black", "center": [0, 0], "size": [21.261859986385396, 14.233748993155995]}, "shape_B": {"name": "hexagon", "facecolor": [0.6775348855760303, 0.620273114349303, 0.12028187475543328], "edgecolor": "black", "center": [0, 0], "size": 26.27226212232398}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_35.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_35.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_35.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_35.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_35.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_35.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_35.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_35.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_35.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_35.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_35.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_35.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_35.png", "instructions": [["rotate", 30], ["scale", 2.0], ["translate", [0, 30]]], "correct_answer": {"easy": "A", "medium": "C", "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 couter-clockwise around its center. <shapeB_step_0>\n- Increase the size of the hexagon, making it larger. <shapeB_step_1>\n- Shift the hexagon a little to the left and significantly upward. <shapeB_step_2>\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"}

easy_no_36

Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Rotate the ellipse by 30 degrees couter-clockwise around its center. <shapeB_step_0> - Shift the ellipse a little to the left and significantly downward. <shapeB_step_1> - Rotate the ellipse by 60 degrees couter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

C

[['rotate', 30], ['translate', [-10, -30]], ['rotate', 60]]

easy

{"instance_id": 36, "shape_A": {"name": "pentagon", "facecolor": [0.08928685030293226, 0.4417165980591662, 0.9134328054187404], "edgecolor": "black", "center": [0, 0], "size": 24.033851410124438}, "shape_B": {"name": "ellipse", "facecolor": [0.30048044751748004, 0.7437236416571632, 0.7740309001939246], "edgecolor": "black", "center": [0, 0], "size": [27.914903920812343, 10.656169676119319]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_36.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_36.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_36.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_36.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_36.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_36.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_36.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_36.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_36.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_36.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_36.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_36.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_36.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_36.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_36.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_36.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_36.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_36.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_36.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_36.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_36.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_36.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_36.png", "instructions": [["rotate", 30], ["translate", [-10, -30]], ["rotate", 60]], "correct_answer": {"easy": "C", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Rotate the ellipse by 30 degrees couter-clockwise around its center. <shapeB_step_0>\n- Shift the ellipse a little to the left and significantly downward. <shapeB_step_1>\n- Rotate the ellipse by 60 degrees couter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "C", "medium": "B", "hard": "D"}

easy_no_37

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> - Flip the hexagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1> - Increase the size of the hexagon, making it larger. <shapeB_step_2> 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]], ['flip', 'horizontal'], ['scale', 2.0]]

easy

{"instance_id": 37, "shape_A": {"name": "rectangle", "facecolor": [0.9430049680580176, 0.7127404881047043, 0.709368196448239], "edgecolor": "black", "center": [0, 0], "size": [25.937725425440824, 12.82676877815097]}, "shape_B": {"name": "hexagon", "facecolor": [0.5206378983282358, 0.6236060961868802, 0.5844871558421262], "edgecolor": "black", "center": [0, 0], "size": 22.76483249966761}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_37.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_37.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_37.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_37.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_37.png", "instructions": [["translate", [-30, -30]], ["flip", "horizontal"], ["scale", 2.0]], "correct_answer": {"easy": "C", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Flip the hexagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Increase the size of the hexagon, making it larger. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "C", "medium": "D", "hard": "A"}

easy_no_40

Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the left and slightly downward. <shapeB_step_0> - Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_1> - Reduce the size of the rectangle, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

C

[['translate', [-10, -10]], ['flip', 'vertical'], ['scale', 0.5]]

easy

{"instance_id": 40, "shape_A": {"name": "pentagon", "facecolor": [0.2229181143963146, 0.45445998260358433, 0.5601508451060682], "edgecolor": "black", "center": [0, 0], "size": 28.298838856344013}, "shape_B": {"name": "rectangle", "facecolor": [0.5571310114048331, 0.00016971547833644074, 0.09089554691153223], "edgecolor": "black", "center": [0, 0], "size": [26.571672064311397, 17.159135002831555]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_40.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_40.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_40.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_40.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_40.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_40.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_40.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_40.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_40.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_40.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_40.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_40.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_40.png", "instructions": [["translate", [-10, -10]], ["flip", "vertical"], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and slightly downward. <shapeB_step_0>\n- Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n- Reduce the size of the rectangle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "C", "medium": "B", "hard": "A"}

easy_no_41

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> - Rotate the triangle by 30 degrees couter-clockwise around its center. <shapeB_step_1> - Reduce the size of the triangle, making it smaller. <shapeB_step_2> 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]], ['rotate', 30], ['scale', 0.5]]

easy

{"instance_id": 41, "shape_A": {"name": "ellipse", "facecolor": [0.8430744312814944, 0.5478059713595177, 0.31391079509164654], "edgecolor": "black", "center": [0, 0], "size": [25.424914784305688, 16.36877434867482]}, "shape_B": {"name": "triangle", "facecolor": [0.6025244496763816, 0.8864368554087494, 0.5122946225025737], "edgecolor": "black", "center": [0, 0], "size": 21.778126992575334}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_41.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_41.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_41.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_41.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_41.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_41.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_41.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_41.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_41.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_41.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_41.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_41.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_41.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_41.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_41.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_41.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_41.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_41.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_41.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_41.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_41.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_41.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_41.png", "instructions": [["translate", [10, -10]], ["rotate", 30], ["scale", 0.5]], "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 right and slightly downward. <shapeB_step_0>\n- Rotate the triangle by 30 degrees couter-clockwise around its center. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\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"}

easy_no_42

Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse to the right by a significant amount and slightly downward. <shapeB_step_0> - Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_1> - Shift the ellipse to the left by a significant amount and significantly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

B

[['translate', [30, -10]], ['flip', 'vertical'], ['translate', [-30, -30]]]

easy

{"instance_id": 42, "shape_A": {"name": "rectangle", "facecolor": [0.17742589848826318, 0.6826588517015352, 0.18697658153232366], "edgecolor": "black", "center": [0, 0], "size": [29.32381865571191, 16.1560867609933]}, "shape_B": {"name": "ellipse", "facecolor": [0.42850781440073427, 0.5565986205953329, 0.13006653011537228], "edgecolor": "black", "center": [0, 0], "size": [24.905509411536766, 15.7267699055493]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_42.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_42.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_42.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_42.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_42.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_42.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_42.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_42.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_42.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_42.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_42.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_42.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_42.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_42.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_42.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_42.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_42.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_42.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_42.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_42.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_42.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_42.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_42.png", "instructions": [["translate", [30, -10]], ["flip", "vertical"], ["translate", [-30, -30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n- Shift the ellipse to the left by a significant amount and significantly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "B", "medium": "B", "hard": "B"}

easy_no_43

Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Rotate the pentagon by 90 degrees couter-clockwise around its center. <shapeB_step_0> - Rotate the pentagon by 90 degrees couter-clockwise around its center. <shapeB_step_1> - Shift the pentagon to the right by a significant amount and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

C

[['rotate', 90], ['rotate', 90], ['translate', [30, -10]]]

easy

{"instance_id": 43, "shape_A": {"name": "hexagon", "facecolor": [0.7942147869758903, 0.5580842053178108, 0.5749622942627916], "edgecolor": "black", "center": [0, 0], "size": 27.559605966951775}, "shape_B": {"name": "pentagon", "facecolor": [0.22764563494165668, 0.25864795899117565, 0.38803260364477077], "edgecolor": "black", "center": [0, 0], "size": 25.856080133133894}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_43.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_43.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_43.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_43.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_43.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_43.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_43.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_43.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_43.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_43.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_43.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_43.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_43.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_43.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_43.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_43.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_43.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_43.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_43.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_43.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_43.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_43.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_43.png", "instructions": [["rotate", 90], ["rotate", 90], ["translate", [30, -10]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 90 degrees couter-clockwise around its center. <shapeB_step_0>\n- Rotate the pentagon by 90 degrees couter-clockwise around its center. <shapeB_step_1>\n- Shift the pentagon to the right by a significant amount and slightly downward. <shapeB_step_2>\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"}

easy_no_44

Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Increase the size of the square, making it larger. <shapeB_step_0> - Increase the size of the square, making it larger. <shapeB_step_1> - Shift the square a little to the left and slightly upward. <shapeB_step_2> 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', 2.0], ['scale', 2.0], ['translate', [0, 10]]]

easy

{"instance_id": 44, "shape_A": {"name": "triangle", "facecolor": [0.4612652036895939, 0.5496646096791667, 0.29065266752008534], "edgecolor": "black", "center": [0, 0], "size": 23.056754894067208}, "shape_B": {"name": "square", "facecolor": [0.18135798477365006, 0.7996600536055314, 0.8522511277674757], "edgecolor": "black", "center": [0, 0], "size": 23.177859372337252}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_44.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_44.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_44.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_44.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_44.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_44.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_44.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_44.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_44.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_44.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_44.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_44.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_44.png", "instructions": [["scale", 2.0], ["scale", 2.0], ["translate", [0, 10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Increase the size of the square, making it larger. <shapeB_step_0>\n- Increase the size of the square, making it larger. <shapeB_step_1>\n- Shift the square a little to the left and slightly upward. <shapeB_step_2>\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"}

easy_no_45

Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse to the left by a significant amount and slightly downward. <shapeB_step_0> - Reduce the size of the ellipse, making it smaller. <shapeB_step_1> - Rotate the ellipse by 30 degrees couter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

A

[['translate', [-30, 0]], ['scale', 0.5], ['rotate', 30]]

easy

{"instance_id": 45, "shape_A": {"name": "triangle", "facecolor": [0.12788511494909605, 0.5923476603711332, 0.13472404800013016], "edgecolor": "black", "center": [0, 0], "size": 22.16593417891885}, "shape_B": {"name": "ellipse", "facecolor": [0.5126428160011087, 0.8907976714690722, 0.1468651000850797], "edgecolor": "black", "center": [0, 0], "size": [26.06525897925912, 14.71413454914856]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_45.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_45.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_45.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_45.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_45.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_45.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_45.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_45.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_45.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_45.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_45.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_45.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_45.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_45.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_45.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_45.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_45.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_45.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_45.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_45.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_45.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_45.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_45.png", "instructions": [["translate", [-30, 0]], ["scale", 0.5], ["rotate", 30]], "correct_answer": {"easy": "A", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Reduce the size of the ellipse, making it smaller. <shapeB_step_1>\n- Rotate the ellipse by 30 degrees couter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "A", "medium": "B", "hard": "B"}

easy_no_47

Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Increase the size of the triangle, making it larger. <shapeB_step_0> - Reduce the size of the triangle, making it smaller. <shapeB_step_1> - Shift the triangle a little to the right and significantly downward. <shapeB_step_2> 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', 2.0], ['scale', 0.5], ['translate', [10, -30]]]

easy

{"instance_id": 47, "shape_A": {"name": "hexagon", "facecolor": [0.1827844526404001, 0.7461562580101736, 0.9302552633727152], "edgecolor": "black", "center": [0, 0], "size": 21.198784926547717}, "shape_B": {"name": "triangle", "facecolor": [0.34199287799022204, 0.5545515040412264, 0.17848574725207278], "edgecolor": "black", "center": [0, 0], "size": 28.36334709961689}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_47.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_47.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_47.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_47.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_47.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_47.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_47.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_47.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_47.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_47.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_47.png", "instructions": [["scale", 2.0], ["scale", 0.5], ["translate", [10, -30]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Increase the size of the triangle, making it larger. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n- Shift the triangle a little to the right and significantly downward. <shapeB_step_2>\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"}

easy_no_48

Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 60 degrees couter-clockwise around its center. <shapeB_step_0> - Shift the circle a little to the left and slightly upward. <shapeB_step_1> - Increase the size of the circle, making it larger. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

C

[['rotate', 60], ['translate', [-10, 10]], ['scale', 2.0]]

easy

{"instance_id": 48, "shape_A": {"name": "square", "facecolor": [0.3650779862279153, 0.40059259742222375, 0.45072899147785617], "edgecolor": "black", "center": [0, 0], "size": 26.30651984490506}, "shape_B": {"name": "circle", "facecolor": [0.42394288041094297, 0.4190929435246633, 0.7521957633816423], "edgecolor": "black", "center": [0, 0], "size": 18.93270409475192}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_48.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_48.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_48.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_48.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_48.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_48.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_48.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_48.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_48.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_48.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_48.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_48.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_48.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_48.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_48.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_48.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_48.png", "instructions": [["rotate", 60], ["translate", [-10, 10]], ["scale", 2.0]], "correct_answer": {"easy": "C", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees couter-clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the left and slightly upward. <shapeB_step_1>\n- Increase the size of the circle, making it larger. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "C", "medium": "A", "hard": "B"}

easy_no_49

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> - Rotate the rectangle by 30 degrees couter-clockwise around its center. <shapeB_step_1> - Shift the rectangle a little to the left and slightly upward. <shapeB_step_2> 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]], ['rotate', 30], ['translate', [0, 10]]]

easy

{"instance_id": 49, "shape_A": {"name": "triangle", "facecolor": [0.5209356916362496, 0.45028865645817706, 0.16731810706769068], "edgecolor": "black", "center": [0, 0], "size": 25.23982791341814}, "shape_B": {"name": "rectangle", "facecolor": [0.7809740369230991, 0.9387698349592449, 0.7478954984763247], "edgecolor": "black", "center": [0, 0], "size": [20.538254382190473, 17.70933705546055]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_49.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_49.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_49.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_49.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_49.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_49.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_49.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_49.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_49.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_49.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_49.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_49.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_49.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_49.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_49.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_49.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_49.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_49.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_49.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_49.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_49.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_49.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_49.png", "instructions": [["translate", [30, -30]], ["rotate", 30], ["translate", [0, 10]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Rotate the rectangle by 30 degrees couter-clockwise around its center. <shapeB_step_1>\n- Shift the rectangle a little to the left and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "A", "medium": "D", "hard": "D"}

easy_no_51

Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees couter-clockwise around its center. <shapeB_step_0> - Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_1> - Rotate the hexagon by 30 degrees couter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.

B

[['rotate', 30], ['translate', [-30, 30]], ['rotate', 30]]

easy

{"instance_id": 51, "shape_A": {"name": "pentagon", "facecolor": [0.2430893332431454, 0.9688349294810993, 0.5810770227273944], "edgecolor": "black", "center": [0, 0], "size": 29.696517064941904}, "shape_B": {"name": "hexagon", "facecolor": [0.7943903973408046, 0.5846968600127815, 0.3958083002950532], "edgecolor": "black", "center": [0, 0], "size": 23.384220967505037}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_51.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_51.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_51.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_51.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_51.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_51.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_51.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_51.png", "instructions": [["rotate", 30], ["translate", [-30, 30]], ["rotate", 30]], "correct_answer": {"easy": "B", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees couter-clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_1>\n- Rotate the hexagon by 30 degrees couter-clockwise around its center. <shapeB_step_2>\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"}

easy_no_53

Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon to the right by a significant amount and significantly upward. <shapeB_step_0> - Flip the pentagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1> - Flip the pentagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2> 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]], ['flip', 'horizontal'], ['flip', 'vertical']]

easy

{"instance_id": 53, "shape_A": {"name": "hexagon", "facecolor": [0.7445783485031807, 0.36000854493418166, 0.4524034742079659], "edgecolor": "black", "center": [0, 0], "size": 23.14904675049345}, "shape_B": {"name": "pentagon", "facecolor": [0.9598244309208583, 0.00019562785560844898, 0.03466290222820989], "edgecolor": "black", "center": [0, 0], "size": 27.715230719889696}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_53.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_53.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_53.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_53.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_53.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_53.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_53.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_53.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_53.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_53.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_53.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_53.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_53.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_53.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_53.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_53.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_53.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_53.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_53.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_53.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_53.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_53.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_53.png", "instructions": [["translate", [30, 30]], ["flip", "horizontal"], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "D", "hard": "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 upward. <shapeB_step_0>\n- Flip the pentagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Flip the pentagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}

{"easy": "D", "medium": "D", "hard": "D"}