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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 significantly smaller. <shapeB_step_0> - Reduce the size of the circle, making it significantly smaller. <shapeB_step_1> - Shift the circle a little to the right and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

A

[['scale', 0.5], ['scale', 0.5], ['translate', [10, 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": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_0.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_0.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_0.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_0.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_0.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_0.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_0.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_0.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_0.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_0.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_0.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_0.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_0.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_0.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_0.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_0.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_0.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_0.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_0.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_0.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5], ["scale", 0.5], ["translate", [10, 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 significantly smaller. <shapeB_step_0>\n- Reduce the size of the circle, making it significantly smaller. <shapeB_step_1>\n- Shift the circle a little to the right and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\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 slightly downward. <shapeB_step_1> - Reduce the size of the circle, making it significantly smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

A

[['translate', [0, -10]], ['translate', [5, -5]], ['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": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_1.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_1.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_1.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_1.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_1.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_1.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_1.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_1.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_1.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_1.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_1.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_1.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_1.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_1.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_1.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_1.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_1.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_1.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_1.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_1.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_1.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_1.png", "instructions": [["translate", [0, -10]], ["translate", [5, -5]], ["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 slightly downward. <shapeB_step_1>\n- Reduce the size of the circle, making it significantly smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\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 a little to the left and slightly upward. <shapeB_step_0> - Reduce the size of the circle, making it significantly smaller. <shapeB_step_1> - Flip the circle horizontal. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

C

[['translate', [-5, 10]], ['scale', 0.75], ['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": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_2.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_2.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_2.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_2.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_2.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_2.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_2.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_2.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_2.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_2.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_2.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_2.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_2.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_2.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_2.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_2.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_2.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_2.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_2.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_2.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_2.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_2.png", "instructions": [["translate", [-5, 10]], ["scale", 0.75], ["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 a little to the left and slightly upward. <shapeB_step_0>\n- Reduce the size of the circle, making it significantly smaller. <shapeB_step_1>\n- Flip the circle horizontal. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_4

Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the pentagon, making it significantly smaller. <shapeB_step_0> - Shift the pentagon a little to the right and slightly downward. <shapeB_step_1> - Reduce the size of the pentagon, making it significantly smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

A

[['scale', 0.75], ['translate', [5, 0]], ['scale', 0.75]]

easy

{"instance_id": 4, "shape_A": {"name": "circle", "facecolor": [0.42978671288077175, 0.04182885816885784, 0.36465151532725604], "edgecolor": "black", "center": [0, 0], "size": 19.244872952415456}, "shape_B": {"name": "pentagon", "facecolor": [0.17705237032038124, 0.4122944103537973, 0.179360663418207], "edgecolor": "black", "center": [0, 0], "size": 23.825417225969343}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_4.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_4.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_4.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step2_4.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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_4.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_4.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_4.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_4.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_4.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_4.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_4.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_4.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_4.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_4.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_4.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_4.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_4.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_4.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_4.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_4.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_4.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_4.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_4.png", "instructions": [["scale", 0.75], ["translate", [5, 0]], ["scale", 0.75]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the pentagon, making it significantly smaller. <shapeB_step_0>\n- Shift the pentagon a little to the right and slightly downward. <shapeB_step_1>\n- Reduce the size of the pentagon, making it significantly smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_5

Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the right and slightly upward. <shapeB_step_0> - Shift the circle a little to the left and slightly downward. <shapeB_step_1> - Shift the circle a little to the left and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

C

[['translate', [10, 10]], ['translate', [-10, -5]], ['translate', [-5, -5]]]

easy

{"instance_id": 5, "shape_A": {"name": "hexagon", "facecolor": [0.17402734320994395, 0.5691052548658093, 0.40607516875816285], "edgecolor": "black", "center": [0, 0], "size": 29.598320036830362}, "shape_B": {"name": "circle", "facecolor": [0.9488744859713143, 0.9207708562180402, 0.6231554099464092], "edgecolor": "black", "center": [0, 0], "size": 17.8575882747758}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_5.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_5.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_5.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step2_5.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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_5.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_5.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_5.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_5.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_5.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_5.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_5.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_5.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_5.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_5.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_5.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_5.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_5.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_5.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_5.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_5.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_5.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_5.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_5.png", "instructions": [["translate", [10, 10]], ["translate", [-10, -5]], ["translate", [-5, -5]]], "correct_answer": {"easy": "C", "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 right and slightly upward. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n- Shift the circle 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 "}

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

easy_no_6

Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 90 degrees couter-clockwise. <shapeB_step_0> - Shift the circle a little to the left and slightly upward. <shapeB_step_1> - Rotate the circle by 30 degrees couter-clockwise. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

A

[['rotate', 90], ['translate', [-5, 5]], ['rotate', 30]]

easy

{"instance_id": 6, "shape_A": {"name": "rectangle", "facecolor": [0.42550381270521476, 0.7459354367136096, 0.33079129719593015], "edgecolor": "black", "center": [0, 0], "size": [22.82998703274955, 11.005261080907907]}, "shape_B": {"name": "circle", "facecolor": [0.22159640047253015, 0.6917871552952018, 0.3062060301300884], "edgecolor": "black", "center": [0, 0], "size": 19.766070228830568}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_6.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_6.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_6.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_6.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_6.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_6.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_6.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_6.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_6.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_6.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_6.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_6.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_6.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_6.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_6.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_6.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_6.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_6.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_6.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_6.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_6.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_6.png", "instructions": [["rotate", 90], ["translate", [-5, 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. <shapeB_step_0>\n- Shift the circle a little to the left and slightly upward. <shapeB_step_1>\n- Rotate the circle by 30 degrees couter-clockwise. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\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 noticeably larger. <shapeB_step_1> - Increase the size of the ellipse, making it noticeably larger. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

C

[['translate', [5, -10]], ['scale', 1.25], ['scale', 1.5]]

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": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_7.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_7.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_7.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_7.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_7.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_7.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_7.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_7.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_7.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_7.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_7.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_7.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_7.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_7.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_7.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_7.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_7.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_7.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_7.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_7.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_7.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_7.png", "instructions": [["translate", [5, -10]], ["scale", 1.25], ["scale", 1.5]], "correct_answer": {"easy": "C", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right and slightly downward. <shapeB_step_0>\n- Increase the size of the ellipse, making it noticeably larger. <shapeB_step_1>\n- Increase the size of the ellipse, making it noticeably larger. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_9

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 60 degrees couter-clockwise. <shapeB_step_1> - Shift the triangle a little to the right and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

B

[['translate', [10, -5]], ['rotate', 60], ['translate', [10, 0]]]

easy

{"instance_id": 9, "shape_A": {"name": "rectangle", "facecolor": [0.746766366737927, 0.4339714719231257, 0.09844312638319797], "edgecolor": "black", "center": [0, 0], "size": [20.789683506599946, 18.70839598644855]}, "shape_B": {"name": "triangle", "facecolor": [0.6337478287807913, 0.8725792326070907, 0.4436785516617058], "edgecolor": "black", "center": [0, 0], "size": 26.197103685374152}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_9.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_9.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_9.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_9.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_9.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_9.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_9.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_9.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_9.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_9.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_9.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_9.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_9.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_9.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_9.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_9.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_9.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_9.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_9.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_9.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_9.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_9.png", "instructions": [["translate", [10, -5]], ["rotate", 60], ["translate", [10, 0]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the right and slightly downward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees couter-clockwise. <shapeB_step_1>\n- Shift the triangle a little to the right and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_10

Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Increase the size of the circle, making it noticeably larger. <shapeB_step_0> - Shift the circle a little to the right and slightly upward. <shapeB_step_1> - Shift the circle a little to the left and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

D

[['scale', 1.25], ['translate', [10, 5]], ['translate', [-10, -5]]]

easy

{"instance_id": 10, "shape_A": {"name": "ellipse", "facecolor": [0.2569700845632623, 0.8246898125424073, 0.4818478298737412], "edgecolor": "black", "center": [0, 0], "size": [28.045876440205618, 13.657750494055664]}, "shape_B": {"name": "circle", "facecolor": [0.5795738053684028, 0.7323597679392383, 0.09013337574621894], "edgecolor": "black", "center": [0, 0], "size": 19.66500209462752}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_10.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_10.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_10.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_10.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_10.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_10.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_10.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_10.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_10.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_10.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_10.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_10.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_10.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_10.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_10.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_10.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_10.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_10.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_10.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_10.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_10.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_10.png", "instructions": [["scale", 1.25], ["translate", [10, 5]], ["translate", [-10, -5]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Increase the size of the circle, making it noticeably larger. <shapeB_step_0>\n- Shift the circle a little to the right and slightly upward. <shapeB_step_1>\n- Shift the circle 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 "}

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

easy_no_11

Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Rotate the pentagon by 60 degrees couter-clockwise. <shapeB_step_0> - Rotate the pentagon by 30 degrees couter-clockwise. <shapeB_step_1> - Shift the pentagon a little to the right and slightly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

C

[['rotate', 60], ['rotate', 30], ['translate', [5, 10]]]

easy

{"instance_id": 11, "shape_A": {"name": "ellipse", "facecolor": [0.9039743381374582, 0.19401617622256984, 0.6783068250650924], "edgecolor": "black", "center": [0, 0], "size": [24.80590655461825, 13.712121066044325]}, "shape_B": {"name": "pentagon", "facecolor": [0.778124037249926, 0.5029066914875789, 0.4186608267297458], "edgecolor": "black", "center": [0, 0], "size": 27.114009771190005}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_11.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_11.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_11.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_11.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_11.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_11.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_11.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_11.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_11.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_11.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_11.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_11.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_11.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_11.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_11.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_11.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_11.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_11.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_11.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_11.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_11.png", "instructions": [["rotate", 60], ["rotate", 30], ["translate", [5, 10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 60 degrees couter-clockwise. <shapeB_step_0>\n- Rotate the pentagon by 30 degrees couter-clockwise. <shapeB_step_1>\n- Shift the pentagon a little to the right and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_12

Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 60 degrees couter-clockwise. <shapeB_step_0> - Rotate the circle by 60 degrees couter-clockwise. <shapeB_step_1> - Rotate the circle by 90 degrees couter-clockwise. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

D

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

easy

{"instance_id": 12, "shape_A": {"name": "triangle", "facecolor": [0.45711361663644867, 0.110857895290015, 0.9051468856619985], "edgecolor": "black", "center": [0, 0], "size": 25.260594453221707}, "shape_B": {"name": "circle", "facecolor": [0.5488042454438354, 0.7272347853249318, 0.5277715058867243], "edgecolor": "black", "center": [0, 0], "size": 16.64371301742009}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_12.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_12.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_12.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_12.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_12.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_12.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_12.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_12.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_12.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_12.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_12.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_12.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_12.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_12.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_12.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_12.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_12.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_12.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_12.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_12.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_12.png", "instructions": [["rotate", 60], ["rotate", 60], ["rotate", 90]], "correct_answer": {"easy": "D", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees couter-clockwise. <shapeB_step_0>\n- Rotate the circle by 60 degrees couter-clockwise. <shapeB_step_1>\n- Rotate the circle by 90 degrees couter-clockwise. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_13

Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 30 degrees couter-clockwise. <shapeB_step_0> - Shift the circle a little to the left and slightly upward. <shapeB_step_1> - Rotate the circle by 60 degrees couter-clockwise. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

D

[['rotate', 30], ['translate', [-5, 5]], ['rotate', 60]]

easy

{"instance_id": 13, "shape_A": {"name": "square", "facecolor": [0.12623002430225427, 0.23599538042035229, 0.645162875699464], "edgecolor": "black", "center": [0, 0], "size": 29.135425058131865}, "shape_B": {"name": "circle", "facecolor": [0.8486693099705346, 0.6780888719954488, 0.4381728249400777], "edgecolor": "black", "center": [0, 0], "size": 15.17745274208392}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_13.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_13.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_13.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_13.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_13.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_13.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_13.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_13.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_13.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_13.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_13.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_13.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_13.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_13.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_13.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_13.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_13.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_13.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_13.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_13.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_13.png", "instructions": [["rotate", 30], ["translate", [-5, 5]], ["rotate", 60]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees couter-clockwise. <shapeB_step_0>\n- Shift the circle a little to the left and slightly upward. <shapeB_step_1>\n- Rotate the circle by 60 degrees couter-clockwise. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_14

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. <shapeB_step_1> - Shift the triangle a little to the right and slightly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

B

[['translate', [10, 0]], ['rotate', 30], ['translate', [5, 10]]]

easy

{"instance_id": 14, "shape_A": {"name": "rectangle", "facecolor": [0.31931639264672806, 0.9880233694670898, 0.3453705607009986], "edgecolor": "black", "center": [0, 0], "size": [28.134778464394493, 19.337515352494048]}, "shape_B": {"name": "triangle", "facecolor": [0.398716607174025, 0.7606649947951748, 0.5149801340822221], "edgecolor": "black", "center": [0, 0], "size": 27.21128428822122}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_14.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_14.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_14.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_14.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_14.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_14.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_14.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_14.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_14.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_14.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_14.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_14.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_14.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_14.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_14.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_14.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_14.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_14.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_14.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_14.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_14.png", "instructions": [["translate", [10, 0]], ["rotate", 30], ["translate", [5, 10]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the right and slightly downward. <shapeB_step_0>\n- Rotate the triangle by 30 degrees couter-clockwise. <shapeB_step_1>\n- Shift the triangle a little to the right and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_15

Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 60 degrees couter-clockwise. <shapeB_step_0> - Rotate the hexagon by 60 degrees couter-clockwise. <shapeB_step_1> - Rotate the hexagon by 30 degrees couter-clockwise. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

A

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

easy

{"instance_id": 15, "shape_A": {"name": "square", "facecolor": [0.14894066457644484, 0.8931316920780072, 0.1397809857723552], "edgecolor": "black", "center": [0, 0], "size": 28.98767104188533}, "shape_B": {"name": "hexagon", "facecolor": [0.5629242606445444, 0.47489259999803324, 0.01663695550231492], "edgecolor": "black", "center": [0, 0], "size": 29.720568640244156}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_15.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_15.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_15.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step2_15.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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_15.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_15.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_15.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_15.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_15.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_15.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_15.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_15.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_15.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_15.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_15.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_15.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_15.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_15.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_15.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_15.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_15.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_15.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_15.png", "instructions": [["rotate", 60], ["rotate", 60], ["rotate", 30]], "correct_answer": {"easy": "A", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees couter-clockwise. <shapeB_step_0>\n- Rotate the hexagon by 60 degrees couter-clockwise. <shapeB_step_1>\n- Rotate the hexagon by 30 degrees couter-clockwise. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_16

Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Reduce the size of the square, making it significantly smaller. <shapeB_step_0> - Shift the square a little to the right and slightly upward. <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?

C

[['scale', 0.75], ['translate', [5, 5]], ['translate', [0, -10]]]

easy

{"instance_id": 16, "shape_A": {"name": "circle", "facecolor": [0.9330239337833077, 0.6961713006468226, 0.13727295480092294], "edgecolor": "black", "center": [0, 0], "size": 11.994559746676018}, "shape_B": {"name": "square", "facecolor": [0.6156770344144923, 0.5868304985708152, 0.2424580384102868], "edgecolor": "black", "center": [0, 0], "size": 29.639140388909357}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_16.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_16.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_16.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_16.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_16.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_16.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_16.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_16.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_16.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_16.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_16.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_16.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_16.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_16.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_16.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_16.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_16.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_16.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_16.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_16.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_16.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_16.png", "instructions": [["scale", 0.75], ["translate", [5, 5]], ["translate", [0, -10]]], "correct_answer": {"easy": "C", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it significantly smaller. <shapeB_step_0>\n- Shift the square a little to the right and slightly upward. <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 "}

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

easy_no_18

Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 90 degrees couter-clockwise. <shapeB_step_0> - Rotate the rectangle by 60 degrees couter-clockwise. <shapeB_step_1> - Reduce the size of the rectangle, making it significantly smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

B

[['rotate', 90], ['rotate', 60], ['scale', 0.5]]

easy

{"instance_id": 18, "shape_A": {"name": "pentagon", "facecolor": [0.3007364187951478, 0.7075767974879722, 0.8057761599348869], "edgecolor": "black", "center": [0, 0], "size": 29.222261045112223}, "shape_B": {"name": "rectangle", "facecolor": [0.49562078749302096, 0.9722902353436859, 0.9415864098319118], "edgecolor": "black", "center": [0, 0], "size": [29.677861885466267, 15.572867581992732]}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_18.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_18.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_18.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_18.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_18.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_18.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_18.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_18.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_18.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_18.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_18.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_18.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_18.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_18.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_18.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_18.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_18.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_18.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_18.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_18.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_18.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_18.png", "instructions": [["rotate", 90], ["rotate", 60], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees couter-clockwise. <shapeB_step_0>\n- Rotate the rectangle by 60 degrees couter-clockwise. <shapeB_step_1>\n- Reduce the size of the rectangle, making it significantly smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_19

Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Increase the size of the ellipse, making it noticeably larger. <shapeB_step_0> - Shift the ellipse a little to the left and slightly upward. <shapeB_step_1> - Rotate the ellipse by 60 degrees couter-clockwise. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

D

[['scale', 1.25], ['translate', [0, 5]], ['rotate', 60]]

easy

{"instance_id": 19, "shape_A": {"name": "square", "facecolor": [0.048514394196412236, 0.006383824440778896, 0.13749153049696017], "edgecolor": "black", "center": [0, 0], "size": 22.866885365332855}, "shape_B": {"name": "ellipse", "facecolor": [0.6377285917606557, 0.9339037210980009, 0.9127514547348331], "edgecolor": "black", "center": [0, 0], "size": [29.397119127942126, 11.792668410168321]}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_19.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_19.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_19.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step2_19.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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_19.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_19.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_19.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_19.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_19.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_19.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_19.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_19.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_19.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_19.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_19.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_19.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_19.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_19.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_19.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_19.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_19.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_19.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_19.png", "instructions": [["scale", 1.25], ["translate", [0, 5]], ["rotate", 60]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Increase the size of the ellipse, making it noticeably larger. <shapeB_step_0>\n- Shift the ellipse a little to the left and slightly upward. <shapeB_step_1>\n- Rotate the ellipse by 60 degrees couter-clockwise. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_20

Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Increase the size of the rectangle, making it noticeably larger. <shapeB_step_0> - Shift the rectangle a little to the left and slightly upward. <shapeB_step_1> - Increase the size of the rectangle, making it noticeably larger. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

D

[['scale', 1.5], ['translate', [-5, 10]], ['scale', 1.5]]

easy

{"instance_id": 20, "shape_A": {"name": "square", "facecolor": [0.8206907414846971, 0.8209023877851368, 0.9288749402533284], "edgecolor": "black", "center": [0, 0], "size": 26.05168743200642}, "shape_B": {"name": "rectangle", "facecolor": [0.2992768895808625, 0.5639581996237649, 0.5666959198910784], "edgecolor": "black", "center": [0, 0], "size": [26.138652336214363, 15.956086620442795]}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_20.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_20.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_20.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_20.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_20.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_20.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_20.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_20.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_20.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_20.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_20.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_20.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_20.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_20.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_20.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_20.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_20.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_20.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_20.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_20.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_20.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_20.png", "instructions": [["scale", 1.5], ["translate", [-5, 10]], ["scale", 1.5]], "correct_answer": {"easy": "D", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Increase the size of the rectangle, making it noticeably larger. <shapeB_step_0>\n- Shift the rectangle a little to the left and slightly upward. <shapeB_step_1>\n- Increase the size of the rectangle, making it noticeably larger. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_21

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> - 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?

B

[['translate', [10, -5]], ['translate', [5, 0]], ['translate', [0, -10]]]

easy

{"instance_id": 21, "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": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_21.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_21.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_21.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_21.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_21.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_21.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_21.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_21.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_21.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_21.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_21.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_21.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_21.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_21.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_21.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_21.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_21.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_21.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_21.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_21.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_21.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_21.png", "instructions": [["translate", [10, -5]], ["translate", [5, 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 a little to the right and slightly 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 "}

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

easy_no_22

Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 60 degrees couter-clockwise. <shapeB_step_0> - Increase the size of the triangle, making it noticeably larger. <shapeB_step_1> - Rotate the triangle by 60 degrees couter-clockwise. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

A

[['rotate', 60], ['scale', 1.25], ['rotate', 60]]

easy

{"instance_id": 22, "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": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_22.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_22.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_22.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_22.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_22.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_22.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_22.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_22.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_22.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_22.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_22.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_22.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_22.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_22.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_22.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_22.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_22.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_22.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_22.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_22.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_22.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_22.png", "instructions": [["rotate", 60], ["scale", 1.25], ["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. <shapeB_step_0>\n- Increase the size of the triangle, making it noticeably larger. <shapeB_step_1>\n- Rotate the triangle by 60 degrees couter-clockwise. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_23

Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it significantly smaller. <shapeB_step_0> - Rotate the hexagon by 60 degrees couter-clockwise. <shapeB_step_1> - Shift the hexagon a little to the right and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

C

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

easy

{"instance_id": 23, "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": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_23.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_23.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_23.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_23.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_23.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_23.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_23.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_23.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_23.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_23.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_23.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_23.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_23.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_23.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_23.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_23.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_23.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_23.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_23.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_23.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_23.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_23.png", "instructions": [["scale", 0.5], ["rotate", 60], ["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it significantly smaller. <shapeB_step_0>\n- Rotate the hexagon by 60 degrees couter-clockwise. <shapeB_step_1>\n- Shift the hexagon a little to the right and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_24

Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 90 degrees couter-clockwise. <shapeB_step_0> - Increase the size of the circle, making it noticeably larger. <shapeB_step_1> - Rotate the circle by 90 degrees couter-clockwise. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

C

[['rotate', 90], ['scale', 1.25], ['rotate', 90]]

easy

{"instance_id": 24, "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": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_24.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_24.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_24.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_24.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_24.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_24.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_24.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_24.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_24.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_24.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_24.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_24.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_24.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_24.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_24.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_24.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_24.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_24.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_24.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_24.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_24.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_24.png", "instructions": [["rotate", 90], ["scale", 1.25], ["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. <shapeB_step_0>\n- Increase the size of the circle, making it noticeably larger. <shapeB_step_1>\n- Rotate the circle by 90 degrees couter-clockwise. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_25

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> - Increase the size of the circle, making it noticeably larger. <shapeB_step_1> - Reduce the size of the circle, making it significantly smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

D

[['translate', [0, -5]], ['scale', 1.5], ['scale', 0.5]]

easy

{"instance_id": 25, "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": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_25.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_25.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_25.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_25.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_25.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_25.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_25.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_25.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_25.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_25.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_25.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_25.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_25.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_25.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_25.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_25.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_25.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_25.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_25.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_25.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_25.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_25.png", "instructions": [["translate", [0, -5]], ["scale", 1.5], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "D", "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- Increase the size of the circle, making it noticeably larger. <shapeB_step_1>\n- Reduce the size of the circle, making it significantly smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_26

Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Rotate the square by 60 degrees couter-clockwise. <shapeB_step_0> - Rotate the square by 30 degrees couter-clockwise. <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?

A

[['rotate', 60], ['rotate', 30], ['translate', [-10, 0]]]

easy

{"instance_id": 26, "shape_A": {"name": "pentagon", "facecolor": [0.45674617594457545, 0.36891935915254914, 0.2915950906560326], "edgecolor": "black", "center": [0, 0], "size": 25.465592426097558}, "shape_B": {"name": "square", "facecolor": [0.31993513756437564, 0.8259969955525328, 0.5715359626174581], "edgecolor": "black", "center": [0, 0], "size": 27.39575986733418}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_26.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_26.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_26.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_26.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_26.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_26.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_26.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_26.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_26.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_26.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_26.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_26.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_26.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_26.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_26.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_26.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_26.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_26.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_26.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_26.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_26.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_26.png", "instructions": [["rotate", 60], ["rotate", 30], ["translate", [-10, 0]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 60 degrees couter-clockwise. <shapeB_step_0>\n- Rotate the square by 30 degrees couter-clockwise. <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 "}

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

easy_no_27

Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the right and slightly downward. <shapeB_step_0> - Increase the size of the rectangle, making it noticeably larger. <shapeB_step_1> - Rotate the rectangle by 60 degrees couter-clockwise. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

C

[['translate', [10, -10]], ['scale', 1.25], ['rotate', 60]]

easy

{"instance_id": 27, "shape_A": {"name": "square", "facecolor": [0.8008168219994952, 0.7007256063215421, 0.735352868782368], "edgecolor": "black", "center": [0, 0], "size": 21.57615377065516}, "shape_B": {"name": "rectangle", "facecolor": [0.3180577192661006, 0.2719558718324544, 0.07468743580247972], "edgecolor": "black", "center": [0, 0], "size": [26.86054842950515, 18.263866879396495]}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_27.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_27.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_27.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_27.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_27.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_27.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_27.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_27.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_27.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_27.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_27.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_27.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_27.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_27.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_27.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_27.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_27.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_27.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_27.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_27.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_27.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_27.png", "instructions": [["translate", [10, -10]], ["scale", 1.25], ["rotate", 60]], "correct_answer": {"easy": "C", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the right and slightly downward. <shapeB_step_0>\n- Increase the size of the rectangle, making it noticeably larger. <shapeB_step_1>\n- Rotate the rectangle by 60 degrees couter-clockwise. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_28

Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Increase the size of the rectangle, making it noticeably larger. <shapeB_step_0> - Rotate the rectangle by 60 degrees couter-clockwise. <shapeB_step_1> - Rotate the rectangle by 60 degrees couter-clockwise. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

B

[['scale', 1.25], ['rotate', 60], ['rotate', 60]]

easy

{"instance_id": 28, "shape_A": {"name": "ellipse", "facecolor": [0.29510516299971645, 0.41199220629616506, 0.5506886652039805], "edgecolor": "black", "center": [0, 0], "size": [23.591121098375652, 15.445178060340517]}, "shape_B": {"name": "rectangle", "facecolor": [0.18715111371116167, 0.2798545542807238, 0.8834237988936261], "edgecolor": "black", "center": [0, 0], "size": [27.948462443018702, 19.89403615761534]}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_28.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_28.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_28.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_28.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_28.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_28.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_28.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_28.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_28.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_28.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_28.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_28.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_28.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_28.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_28.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_28.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_28.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_28.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_28.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_28.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_28.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_28.png", "instructions": [["scale", 1.25], ["rotate", 60], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Increase the size of the rectangle, making it noticeably larger. <shapeB_step_0>\n- Rotate the rectangle by 60 degrees couter-clockwise. <shapeB_step_1>\n- Rotate the rectangle by 60 degrees couter-clockwise. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_29

Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the triangle, making it significantly smaller. <shapeB_step_0> - Reduce the size of the triangle, making it significantly smaller. <shapeB_step_1> - Shift the triangle a little to the right and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

B

[['scale', 0.5], ['scale', 0.75], ['translate', [5, -10]]]

easy

{"instance_id": 29, "shape_A": {"name": "circle", "facecolor": [0.1273483647235355, 0.728830955935999, 0.9487881042212877], "edgecolor": "black", "center": [0, 0], "size": 17.089658131452246}, "shape_B": {"name": "triangle", "facecolor": [0.9210382164180794, 0.9675316856159355, 0.22089525043701208], "edgecolor": "black", "center": [0, 0], "size": 22.65212440562876}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_29.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_29.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_29.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_29.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_29.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_29.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_29.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_29.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_29.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_29.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_29.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_29.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_29.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_29.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_29.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_29.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_29.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_29.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_29.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_29.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_29.png", "instructions": [["scale", 0.5], ["scale", 0.75], ["translate", [5, -10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "C"}, "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 significantly smaller. <shapeB_step_0>\n- Reduce the size of the triangle, making it significantly smaller. <shapeB_step_1>\n- Shift the triangle a little to the right and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_30

Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees couter-clockwise. <shapeB_step_0> - Shift the hexagon a little to the right and slightly upward. <shapeB_step_1> - Flip the hexagon horizontal. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

D

[['rotate', 30], ['translate', [10, 5]], ['flip', 'horizontal']]

easy

{"instance_id": 30, "shape_A": {"name": "pentagon", "facecolor": [0.6610400547460049, 0.09113687755067923, 0.5441260292196803], "edgecolor": "black", "center": [0, 0], "size": 20.616393696600994}, "shape_B": {"name": "hexagon", "facecolor": [0.3083534001177294, 0.39746734850812293, 0.48909681212065725], "edgecolor": "black", "center": [0, 0], "size": 22.685619932729495}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_30.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_30.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_30.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_30.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_30.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_30.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_30.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_30.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_30.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_30.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_30.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_30.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_30.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_30.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_30.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_30.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_30.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_30.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_30.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_30.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_30.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_30.png", "instructions": [["rotate", 30], ["translate", [10, 5]], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees couter-clockwise. <shapeB_step_0>\n- Shift the hexagon a little to the right and slightly upward. <shapeB_step_1>\n- Flip the hexagon horizontal. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_32

Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right and slightly upward. <shapeB_step_0> - Shift the hexagon a little to the right and slightly downward. <shapeB_step_1> - Flip the hexagon vertical. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

C

[['translate', [5, 5]], ['translate', [5, 0]], ['flip', 'vertical']]

easy

{"instance_id": 32, "shape_A": {"name": "rectangle", "facecolor": [0.34424900385375024, 0.8376537702567273, 0.2586599271667087], "edgecolor": "black", "center": [0, 0], "size": [26.821997315354494, 14.740972065293448]}, "shape_B": {"name": "hexagon", "facecolor": [0.2143185873114406, 0.22135107701554813, 0.2251120409197751], "edgecolor": "black", "center": [0, 0], "size": 22.237700317233088}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_32.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_32.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_32.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_32.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_32.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_32.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_32.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_32.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_32.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_32.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_32.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_32.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_32.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_32.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_32.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_32.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_32.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_32.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_32.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_32.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_32.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_32.png", "instructions": [["translate", [5, 5]], ["translate", [5, 0]], ["flip", "vertical"]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the right and slightly upward. <shapeB_step_0>\n- Shift the hexagon a little to the right and slightly downward. <shapeB_step_1>\n- Flip the hexagon vertical. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_33

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> - Reduce the size of the ellipse, making it significantly smaller. <shapeB_step_1> - Rotate the ellipse by 60 degrees couter-clockwise. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

B

[['translate', [5, -10]], ['scale', 0.5], ['rotate', 60]]

easy

{"instance_id": 33, "shape_A": {"name": "rectangle", "facecolor": [0.3431670496355732, 0.7133692892071842, 0.6863181109326713], "edgecolor": "black", "center": [0, 0], "size": [29.469233801939513, 18.99591157850865]}, "shape_B": {"name": "ellipse", "facecolor": [0.358497131670377, 0.30019482855066093, 0.1699866640615365], "edgecolor": "black", "center": [0, 0], "size": [22.22253511512901, 12.233279253856086]}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_33.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_33.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_33.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_33.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_33.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_33.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_33.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_33.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_33.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_33.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_33.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_33.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_33.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_33.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_33.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_33.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_33.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_33.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_33.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_33.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_33.png", "instructions": [["translate", [5, -10]], ["scale", 0.5], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "D", "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- Reduce the size of the ellipse, making it significantly smaller. <shapeB_step_1>\n- Rotate the ellipse by 60 degrees couter-clockwise. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_34

Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square a little to the right and slightly downward. <shapeB_step_0> - Flip the square horizontal. <shapeB_step_1> - Reduce the size of the square, making it significantly smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

A

[['translate', [5, 0]], ['flip', 'horizontal'], ['scale', 0.5]]

easy

{"instance_id": 34, "shape_A": {"name": "hexagon", "facecolor": [0.6767481416771101, 0.6266869286716226, 0.24882312287588193], "edgecolor": "black", "center": [0, 0], "size": 25.963699186155026}, "shape_B": {"name": "square", "facecolor": [0.6144797387250618, 0.6334875407025942, 0.4033934803979504], "edgecolor": "black", "center": [0, 0], "size": 25.88670688168072}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_34.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_34.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_34.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_34.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_34.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_34.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_34.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_34.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_34.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_34.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_34.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_34.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_34.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_34.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_34.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_34.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_34.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_34.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_34.png", "instructions": [["translate", [5, 0]], ["flip", "horizontal"], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square a little to the right and slightly downward. <shapeB_step_0>\n- Flip the square horizontal. <shapeB_step_1>\n- Reduce the size of the square, making it significantly smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_35

Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the left and slightly downward. <shapeB_step_0> - Increase the size of the ellipse, making it noticeably larger. <shapeB_step_1> - Increase the size of the ellipse, making it noticeably larger. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

A

[['translate', [-5, -10]], ['scale', 1.5], ['scale', 1.5]]

easy

{"instance_id": 35, "shape_A": {"name": "triangle", "facecolor": [0.7235636168984789, 0.10129047859295737, 0.2558921027506649], "edgecolor": "black", "center": [0, 0], "size": 20.45889087093415}, "shape_B": {"name": "ellipse", "facecolor": [0.23116028649174591, 0.9886659307576041, 0.29602217871043845], "edgecolor": "black", "center": [0, 0], "size": [28.519987250744883, 16.63355027490844]}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_35.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_35.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_35.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_35.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_35.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_35.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_35.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_35.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_35.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_35.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_35.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_35.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_35.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_35.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_35.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_35.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_35.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_35.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_35.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_35.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_35.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_35.png", "instructions": [["translate", [-5, -10]], ["scale", 1.5], ["scale", 1.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the left and slightly downward. <shapeB_step_0>\n- Increase the size of the ellipse, making it noticeably larger. <shapeB_step_1>\n- Increase the size of the ellipse, making it noticeably larger. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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

easy_no_36

Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the right and slightly upward. <shapeB_step_0> - Flip the circle vertical. <shapeB_step_1> - Rotate the circle by 30 degrees couter-clockwise. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result?

B

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

easy

{"instance_id": 36, "shape_A": {"name": "triangle", "facecolor": [0.5055675718847332, 0.46928893664383253, 0.49583493075829466], "edgecolor": "black", "center": [0, 0], "size": 24.984561461736867}, "shape_B": {"name": "circle", "facecolor": [0.4819296773206404, 0.6637106439195243, 0.641404452807282], "edgecolor": "black", "center": [0, 0], "size": 10.788305957547916}, "individual_shape_B_transformations": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_36.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step0_36.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_step1_36.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/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> Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_no_36.png", "composed_B_partial": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_partial_36.png", "composed_B_all": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_B_all_36.png", "answer_choices": {"easy": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_easy_36.png", "medium": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_medium_36.png", "hard": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/answer_choices_hard_36.png"}, "individual_answer_choices_path": {"easy": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_easy_36.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_36.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_easy_36.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_easy_36.png"], "medium": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_medium_36.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_medium_36.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_36.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_medium_36.png"], "hard": ["/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/shape_B_prime_36.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_D_hard_36.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_C_hard_36.png", "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/distractor_B_hard_36.png"]}, "question_image": "/datadrive_a/linjie/blob/vigstandard_data/linjli/debug_output/UW/mental_simulation/2d_visual_analogy_3_steps/composed_transformation_A_36.png", "instructions": [["translate", [10, 10]], ["flip", "vertical"], ["rotate", 30]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and slightly upward. <shapeB_step_0>\n- Flip the circle vertical. <shapeB_step_1>\n- Rotate the circle by 30 degrees couter-clockwise. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n "}

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