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544_q+steps+partial_vis
Check out a net with 6 faces below: <image_0>Here are the steps to fold the net with face 6 as the base: Step 1: Fold face 1 upwards <image_1> Step 2: Fold face 5 upwards Step 3: Fold face 3 upwards towards face 5 Step 4: Fold face 2 downwards towards face 1 Step 5: Fold face 4 downwards towards face 6 Based on the above steps, can the net be folded to form a cube, yes or no?
B
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"4": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "2": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "5": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "6": [[3, 1, 0], [4, 1, 0], [4, 2, 0], [3, 2, 0]], "1": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "3": [[3.0, 0.9999999999999999, 1.0], [4.0, 0.9999999999999999, 1.0], [4.0, 1.0, 0.0], [3.0, 1.0, 0.0]]}, "face_connections": {"4": ["2"], "2": ["4", "5"], "5": ["2", "6"], "6": ["5", "1", "3"], "1": ["6"], "3": ["6"]}, "valid": false}, "base_face": "6", "folding_steps": [["1", "6", [4, 1, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "6", [3, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "6", [3, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "5", [3.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "2", [4.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 5 upwards", "Fold face 3 upwards towards face 5", "Fold face 2 downwards towards face 1", "Fold face 4 downwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net16_base6_step1.png", "output_dir/folding_nets/random3_net16_base6_step2.png", "output_dir/folding_nets/random3_net16_base6_step3.png", "output_dir/folding_nets/random3_net16_base6_step4.png"], "id": "random3_net16_base6"}
q+steps+partial_vis
[ "yes", "no" ]
492_q+steps+all_vis
Check out a net with 6 faces below: <image_0>Here are the steps to fold the net with face 5 as the base: Step 1: Fold face 4 upwards <image_1> Step 2: Fold face 1 inwards towards face 5 <image_2> Step 3: Fold face 2 upwards towards face 1 <image_3> Step 4: Fold face 3 downwards towards face 1 <image_4> Step 5: Fold face 6 downwards towards face 2 <image_5> Based on the above steps, can the net be folded to form a cube, yes or no?
A
{"initial_net": {"name": "Big T - Variant 3", "faces": {"6": [[0.9999999999999999, -0.9999999999999999, 0.0], [1.0, -0.9999999999999999, 1.0], [1.0, -2.0, 1.0], [0.9999999999999999, -2.0, 0.0]], "3": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "1": [[2.0, -2.0, 1.0], [2.0, -1.0, 1.0], [2.0, -1.0, 0.0], [2.0, -2.0, 0.0]], "2": [[1.0, -1.0, 0.0], [2.0, -1.0, 0.0], [2.0, -0.9999999999999999, 1.0], [1.0, -0.9999999999999999, 1.0]], "5": [[1, -2, 0], [2, -2, 0], [2, -1, 0], [1, -1, 0]], "4": [[1.0, -2.0, 1.0], [2.0, -2.0, 1.0], [2.0, -2.0, 0.0], [1.0, -2.0, 0.0]]}, "face_connections": {"6": ["3"], "3": ["6", "2"], "1": ["4"], "2": ["3", "5"], "5": ["2", "4"], "4": ["5", "1"]}, "valid": true}, "base_face": "5", "folding_steps": [["4", "5", [1, -2, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["1", "4", [2.0, -2.0, 1.0], [0.0, 0.0, -1.0], -1.5707963267948966], ["2", "5", [2, -1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "2", [2.0, -0.9999999999999999, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["6", "3", [1.0, -0.9999999999999999, 1.0], [0.0, -1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 4 upwards", "Fold face 1 inwards towards face 5", "Fold face 2 upwards towards face 1", "Fold face 3 downwards towards face 1", "Fold face 6 downwards towards face 2"], "images_per_step": ["output_dir/folding_nets/random3_net6_base5_step1.png", "output_dir/folding_nets/random3_net6_base5_step2.png", "output_dir/folding_nets/random3_net6_base5_step3.png", "output_dir/folding_nets/random3_net6_base5_step4.png", "output_dir/folding_nets/random3_net6_base5_step5.png", "output_dir/folding_nets/random3_net6_base5_step6.png"], "id": "random3_net6_base5"}
q+steps+all_vis
[ "yes", "no" ]