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3steps_hard_all_last_82
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 30 degrees counter-clockwise around its center. - Reduce the size of the circle, making it smaller. <shapeB_step_1> - Shift the circle a little to the left and significantly downward. After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['rotate', 30], ['scale', 0.5], ['translate', [-10, -30]]]
hard
{"instance_id": 82, "shape_A": {"name": "triangle", "facecolor": [0.7926721683585463, 0.8039064957759225, 0.9978021711720083], "edgecolor": "black", "center": [0, 0], "size": 32.43080905873159}, "shape_B": {"name": "circle", "facecolor": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391], "edgecolor": "black", "center": [0, 0], "size": 31.921836513045147}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_82.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_82.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_82.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_82.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_82.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_82.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_82.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_82.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_82.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_82.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_82.png", "instructions": [["rotate", 30], ["scale", 0.5], ["translate", [-10, -30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees counter-clockwise around its center. \n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Shift the circle a little to the left and significantly downward. \n\n After these transformations, which of the following 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"}
3steps_hard_all_last_115
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by -60 degrees clockwise around its center. - Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_1> - Reduce the size of the triangle, making it smaller. After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', -60], ['rotate', -60], ['scale', 0.5]]
hard
{"instance_id": 115, "shape_A": {"name": "ellipse", "facecolor": [0.5197618455230746, 0.3750298817049422, 0.20541869616334685], "edgecolor": "black", "center": [0, 0], "size": [31.018468305961346, 22.76052474170135]}, "shape_B": {"name": "triangle", "facecolor": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561], "edgecolor": "black", "center": [0, 0], "size": 31.987270740977372}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_115.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_115.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_115.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_115.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_115.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_115.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_115.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_115.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_115.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_115.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_115.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_115.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_115.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_115.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_115.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_115.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_115.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_115.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_115.png", "instructions": [["rotate", -60], ["rotate", -60], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by -60 degrees clockwise around its center. \n- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. \n\n After these transformations, which of the following 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"}
3steps_hard_all_last_95
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the right by a significant amount and slightly upward. - Reduce the size of the square, making it smaller. <shapeB_step_1> - Rotate the square by -60 degrees clockwise around its center. After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [30, 10]], ['scale', 0.5], ['rotate', -60]]
hard
{"instance_id": 95, "shape_A": {"name": "rectangle", "facecolor": [0.5173018026860433, 0.28752210418112745, 0.24449381052509633], "edgecolor": "black", "center": [0, 0], "size": [31.6673176394425, 24.83419011557521]}, "shape_B": {"name": "square", "facecolor": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223], "edgecolor": "black", "center": [0, 0], "size": 31.886862538795253}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_95.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_95.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_95.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_95.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_95.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_95.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_95.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_95.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_95.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_95.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_95.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_95.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_95.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_95.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_95.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_95.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_95.png", "instructions": [["translate", [30, 10]], ["scale", 0.5], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the right by a significant amount and slightly upward. \n- Reduce the size of the square, making it smaller. <shapeB_step_1>\n- Rotate the square by -60 degrees clockwise around its center. \n\n After these transformations, which of the following 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"}
3steps_hard_all_last_99
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon significantly upward. - Shift the hexagon a little to the left and significantly upward. <shapeB_step_1> - Flip the hexagon as if there's a mirror along the vertical line x = 0. After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [0, 30]], ['translate', [-10, 30]], ['flip', 'vertical']]
hard
{"instance_id": 99, "shape_A": {"name": "triangle", "facecolor": [0.15538395037811115, 0.8979262330379228, 0.530903047125134], "edgecolor": "black", "center": [0, 0], "size": 34.034318871531745}, "shape_B": {"name": "hexagon", "facecolor": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005], "edgecolor": "black", "center": [0, 0], "size": 33.58158640921175}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_99.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_99.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_99.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_99.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_99.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_99.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_99.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_99.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_99.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_99.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_99.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_99.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_99.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_99.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_99.png", "instructions": [["translate", [0, 30]], ["translate", [-10, 30]], ["flip", "vertical"]], "correct_answer": {"easy": "A", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon significantly upward. \n- Shift the hexagon a little to the left and significantly upward. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. \n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "A"}
3steps_hard_all_last_57
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the left by a significant amount and slightly downward. - Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_1> - Reduce the size of the square, making it smaller. After these transformations, 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]], ['flip', 'vertical'], ['scale', 0.5]]
hard
{"instance_id": 57, "shape_A": {"name": "triangle", "facecolor": [0.9987410233690914, 0.7723664762407402, 0.7786138030606878], "edgecolor": "black", "center": [0, 0], "size": 31.308039114832074}, "shape_B": {"name": "square", "facecolor": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722], "edgecolor": "black", "center": [0, 0], "size": 34.45102492555206}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_57.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_57.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_57.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_57.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_57.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_57.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_57.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_57.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_57.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_57.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_57.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_57.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_57.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_57.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_57.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_57.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_57.png", "instructions": [["translate", [-30, -10]], ["flip", "vertical"], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount and slightly downward. \n- Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n- Reduce the size of the square, making it smaller. \n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "B", "hard": "A"}
3steps_hard_all_last_86
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square a little to the right and significantly downward. - Shift the square to the left by a significant amount and slightly downward. <shapeB_step_1> - Flip the square as if there's a mirror along the horizontal line y = 0. After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [10, -30]], ['translate', [-30, -10]], ['flip', 'horizontal']]
hard
{"instance_id": 86, "shape_A": {"name": "hexagon", "facecolor": [0.2734574129257077, 0.47951271672996854, 0.6990504778128802], "edgecolor": "black", "center": [0, 0], "size": 30.62687466055209}, "shape_B": {"name": "square", "facecolor": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289], "edgecolor": "black", "center": [0, 0], "size": 32.43426702212025}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_86.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_86.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_86.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_86.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_86.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_86.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_86.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_86.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_86.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_86.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_86.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_86.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_86.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_86.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_86.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_86.png", "instructions": [["translate", [10, -30]], ["translate", [-30, -10]], ["flip", "horizontal"]], "correct_answer": {"easy": "A", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square a little to the right and significantly downward. \n- Shift the square to the left by a significant amount and slightly downward. <shapeB_step_1>\n- Flip the square as if there's a mirror along the horizontal line y = 0. \n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "D"}
3steps_hard_all_last_23
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse to the right by a significant amount and significantly downward. - Shift the ellipse a little to the left and significantly downward. <shapeB_step_1> - Shift the ellipse a little to the right and slightly upward. After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [30, -30]], ['translate', [-10, -30]], ['translate', [10, 10]]]
hard
{"instance_id": 23, "shape_A": {"name": "square", "facecolor": [0.7545502714552252, 0.7823708141132708, 0.9200980708136556], "edgecolor": "black", "center": [0, 0], "size": 30.069921557934535}, "shape_B": {"name": "ellipse", "facecolor": [0.9418449795050595, 0.9487916050832819, 0.3478365417734032], "edgecolor": "black", "center": [0, 0], "size": [34.508301457539865, 22.68563244507942]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_23.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_23.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_23.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_23.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_23.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_23.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_23.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_23.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_23.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_23.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_23.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_23.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_23.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_23.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_23.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_23.png", "instructions": [["translate", [30, -30]], ["translate", [-10, -30]], ["translate", [10, 10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount and significantly downward. \n- Shift the ellipse a little to the left and significantly downward. <shapeB_step_1>\n- Shift the ellipse a little to the right and slightly upward. \n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "A"}
3steps_hard_all_last_105
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right and significantly upward. - Shift the hexagon a little to the right and significantly upward. <shapeB_step_1> - Reduce the size of the hexagon, making it smaller. After these transformations, 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]], ['translate', [10, 30]], ['scale', 0.5]]
hard
{"instance_id": 105, "shape_A": {"name": "ellipse", "facecolor": [0.221549756418285, 0.6151068362844365, 0.7272429971637352], "edgecolor": "black", "center": [0, 0], "size": [34.496333825617675, 21.61055909873163]}, "shape_B": {"name": "hexagon", "facecolor": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873], "edgecolor": "black", "center": [0, 0], "size": 30.741669128301822}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_105.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_105.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_105.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_105.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_105.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_105.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_105.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_105.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_105.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_105.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_105.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_105.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_105.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_105.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_105.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_105.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_105.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_105.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_105.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_105.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_105.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_105.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_105.png", "instructions": [["translate", [10, 30]], ["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the right and significantly upward. \n- Shift the hexagon a little to the right and significantly upward. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. \n\n After these transformations, which of the following 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"}
3steps_hard_all_last_89
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. - Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1> - Rotate the rectangle by -30 degrees clockwise around its center. After these transformations, 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', [30, 10]], ['rotate', -30]]
hard
{"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665], "edgecolor": "black", "center": [0, 0], "size": 34.68810527851148}, "shape_B": {"name": "rectangle", "facecolor": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074], "edgecolor": "black", "center": [0, 0], "size": [31.79145902423523, 20.92473276522844]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_89.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_89.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_89.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_89.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_89.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_89.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_89.png", "instructions": [["scale", 0.5], ["translate", [30, 10]], ["rotate", -30]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. \n- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Rotate the rectangle by -30 degrees clockwise around its center. \n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "D"}
3steps_hard_all_last_76
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. - Increase the size of the hexagon, making it larger. <shapeB_step_1> - Shift the hexagon a little to the right and slightly upward. After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5], ['scale', 2.0], ['translate', [10, 10]]]
hard
{"instance_id": 76, "shape_A": {"name": "triangle", "facecolor": [0.025153213047019563, 0.6220392293342395, 0.3328962939724164], "edgecolor": "black", "center": [0, 0], "size": 30.845384641110222}, "shape_B": {"name": "hexagon", "facecolor": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272], "edgecolor": "black", "center": [0, 0], "size": 33.74726625827659}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_76.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_76.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_76.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_76.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_76.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_76.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_76.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_76.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_76.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_76.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_76.png", "instructions": [["scale", 0.5], ["scale", 2.0], ["translate", [10, 10]]], "correct_answer": {"easy": "A", "medium": "C", "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. \n- Increase the size of the hexagon, making it larger. <shapeB_step_1>\n- Shift the hexagon a little to the right and slightly upward. \n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "C", "hard": "D"}
3steps_hard_all_last_108
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse slightly upward. - Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the ellipse a little to the right and significantly upward. After these transformations, 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]], ['rotate', 30], ['translate', [10, 30]]]
hard
{"instance_id": 108, "shape_A": {"name": "square", "facecolor": [0.7643388435720192, 0.4123922224155927, 0.8425447168253485], "edgecolor": "black", "center": [0, 0], "size": 30.085712988012137}, "shape_B": {"name": "ellipse", "facecolor": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251], "edgecolor": "black", "center": [0, 0], "size": [34.54886682999383, 20.535082143472465]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_108.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_108.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_108.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_108.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_108.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_108.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_108.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_108.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_108.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_108.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_108.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_108.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_108.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_108.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_108.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_108.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_108.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_108.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_108.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_108.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_108.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_108.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_108.png", "instructions": [["translate", [0, 10]], ["rotate", 30], ["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse slightly upward. \n- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse a little to the right and significantly upward. \n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "A"}
3steps_hard_all_last_56
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 30 degrees counter-clockwise around its center. - Shift the rectangle a little to the right and significantly downward. <shapeB_step_1> - Shift the rectangle to the left by a significant amount and slightly upward. After these transformations, 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', [10, -30]], ['translate', [-30, 10]]]
hard
{"instance_id": 56, "shape_A": {"name": "square", "facecolor": [0.8558501572429695, 0.5744136705919701, 0.924430672302241], "edgecolor": "black", "center": [0, 0], "size": 32.930961780230206}, "shape_B": {"name": "rectangle", "facecolor": [0.9218274815600159, 0.6275193355756751, 0.9774517456317529], "edgecolor": "black", "center": [0, 0], "size": [33.14423521615392, 23.3491814077612]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_56.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_56.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_56.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_56.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_56.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_56.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_56.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_56.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_56.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_56.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_56.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_56.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_56.png", "instructions": [["rotate", 30], ["translate", [10, -30]], ["translate", [-30, 10]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 30 degrees counter-clockwise around its center. \n- Shift the rectangle a little to the right and significantly downward. <shapeB_step_1>\n- Shift the rectangle to the left by a significant amount and slightly upward. \n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "B"}
3steps_hard_all_last_81
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right. - Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_1> - Rotate the hexagon by 30 degrees counter-clockwise around its center. After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [10, 0]], ['rotate', -90], ['rotate', 30]]
hard
{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.31574854143276976, 0.4047041915128613, 0.012732729701919854], "edgecolor": "black", "center": [0, 0], "size": [34.17912552445489, 22.988101159119363]}, "shape_B": {"name": "hexagon", "facecolor": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172], "edgecolor": "black", "center": [0, 0], "size": 31.049835997060754}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_81.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_81.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_81.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_81.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_81.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_81.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_81.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_81.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_81.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_81.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_81.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_81.png", "instructions": [["translate", [10, 0]], ["rotate", -90], ["rotate", 30]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the right. \n- Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the hexagon by 30 degrees counter-clockwise around its center. \n\n After these transformations, which of the following 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"}
3steps_hard_all_last_3
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the left and significantly downward. - Shift the hexagon to the left by a significant amount. <shapeB_step_1> - Flip the hexagon as if there's a mirror along the vertical line x = 0. After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-10, -30]], ['translate', [-30, 0]], ['flip', 'vertical']]
hard
{"instance_id": 3, "shape_A": {"name": "rectangle", "facecolor": [0.4760931107841647, 0.7118424064727227, 0.44817454958657077], "edgecolor": "black", "center": [0, 0], "size": [33.606421656630346, 21.577739720029932]}, "shape_B": {"name": "hexagon", "facecolor": [0.5534729550102496, 0.34375739414620254, 0.996631463959332], "edgecolor": "black", "center": [0, 0], "size": 30.957704865052722}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_3.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_3.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_3.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_3.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_3.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_3.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_3.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_3.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_3.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_3.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_3.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_3.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_3.png", "instructions": [["translate", [-10, -30]], ["translate", [-30, 0]], ["flip", "vertical"]], "correct_answer": {"easy": "C", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and significantly downward. \n- Shift the hexagon to the left by a significant amount. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. \n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "B", "hard": "B"}
3steps_hard_all_last_34
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the right by a significant amount and slightly upward. - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1> - Shift the triangle to the right by a significant amount and slightly upward. After these transformations, 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', [30, 10]], ['translate', [30, 10]]]
hard
{"instance_id": 34, "shape_A": {"name": "circle", "facecolor": [0.749943679211488, 0.6238256910981901, 0.5447337411321853], "edgecolor": "black", "center": [0, 0], "size": 34.698084047982235}, "shape_B": {"name": "triangle", "facecolor": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922], "edgecolor": "black", "center": [0, 0], "size": 33.29340920837593}, "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/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_34.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_34.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_34.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_34.png", "instructions": [["translate", [30, 10]], ["translate", [30, 10]], ["translate", [30, 10]]], "correct_answer": {"easy": "A", "medium": "C", "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 slightly upward. \n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Shift the triangle to the right by a significant amount and slightly upward. \n\n After these transformations, which of the following 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"}