qid stringlengths 8 32 | question stringlengths 94 436 | images images listlengths 1 6 | answer stringclasses 2
values | question_info stringlengths 1.35k 2.1k | type stringclasses 5
values | choices listlengths 2 2 |
|---|---|---|---|---|---|---|
54_q+steps+all_intermediate_vis | Check out a net with 6 faces below:
<image_0>Here are the steps to fold the net with face 3 as the base:
Step 1: Fold face 2 upwards
<image_1>
Step 2: Fold face 4 upwards
<image_2>
Step 3: Fold face 5 downwards towards face 2
<image_3>
Step 5: Fold face 1 inwards towards face 3
Based on the above steps, can the net be... | B | {"initial_net": {"name": "invalid_G", "faces": {"2": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "3": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "4": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "5": [[2.0, 0.0, 1.0], [1.0, 0.0, 1.0], [... | q+steps+all_intermediate_vis | [
"yes",
"no"
] | |
120_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 2 as the base:
Step 1: Fold face 1 upwards
Step 2: Fold face 3 upwards towards face 1
Step 3: Fold face 4 inwards towards face 2
Step 4: Fold face 5 downwards towards face 1
Step 5: Fold face 6 downwards towards face 1
Based on ... | B | {"initial_net": {"name": "Invalid D", "faces": {"1": [[0.0, 0.9999999999999999, 1.0], [1.0, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [0.0, 1.0, 0.0]], "2": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "3": [[1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [1.0, 1.0, 1.0]], "4": [[1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [... | q+steps | [
"yes",
"no"
] | |
72_q+steps+all_intermediate_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 6 upwards
<image_1>
Step 2: Fold face 4 upwards towards face 6
<image_2>
Step 3: Fold face 3 downwards towards face 6
<image_3>
Step 5: Fold face 1 upwards towards face 4
Based on the above steps,... | B | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"1": [[4.0, 1.0, -9.494107596574928e-16], [5.0, 1.0, 0.0], [5.0, 2.0, 0.0], [4.0, 2.0, -9.494107596574928e-16]], "2": [[5.0, 1.0, 0.0], [5.0, 1.0, 1.0], [5.0, 2.0, 1.0], [5.0, 2.0, 0.0]], "3": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,... | q+steps+all_intermediate_vis | [
"yes",
"no"
] | |
44_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 6 as the base:
Step 1: Fold face 4 upwards
Step 2: Fold face 3 inwards towards face 6
Step 3: Fold face 2 inwards towards face 6
Step 4: Fold face 5 inwards towards face 1
Step 5: Fold face 1 inwards towards face 4
Based on the ... | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"1": [[4.0, 0.9999999999999999, 0.0], [4.0, -6.123233995736766e-17, 0.0], [4.0, -6.123233995736766e-17, 1.0], [4.0, 0.9999999999999999, 1.0]], "2": [[4.0, -6.123233995736766e-17, 0.0], [3.0, 0.0, 0.0], [3.0, 0.0, 1.0], [4.0, -6.123233995736766e-17, 1... | q+steps | [
"no",
"yes"
] | |
42_q+steps+all_intermediate_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 3 downwards
<image_2>
Step 4: Fold face 1 upwards towards face 4
Step 5: Fold face 6 upwards towards face 2
Based on the above steps, can the net be folded to... | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"1": [[4.0, 1.0, -9.494107596574928e-16], [5.0, 1.0, 0.0], [5.0, 2.0, 0.0], [4.0, 2.0, -9.494107596574928e-16]], "2": [[5.0, 1.0, 0.0], [5.0, 1.0, 1.0], [5.0, 2.0, 1.0], [5.0, 2.0, 0.0]], "3": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,... | q+steps+all_intermediate_vis | [
"no",
"yes"
] | |
102_q+steps+all_intermediate_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 6 upwards
<image_1>
Step 2: Fold face 4 upwards towards face 6
<image_2>
Step 3: Fold face 3 inwards towards face 5
<image_3>
Step 4: Fold face 2 inwards towards face 5
<image_4>
Based on the abov... | A | {"initial_net": {"name": "1-3-2 Net", "faces": {"1": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "2": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0000000000000004, 0.0, 0.0], [3.0000000000000004, 0.0, 1.0]], "3": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 0.0], [3.0,... | q+steps+all_intermediate_vis | [
"yes",
"no"
] | |
101_q+steps+all_for_valid_vis | Check out a net with 6 faces below:
<image_0>Here are the steps to fold the net with face 2 as the base:
Step 1: Fold face 3 upwards
<image_1>
Step 2: Fold face 4 downwards
<image_2>
Step 3: Fold face 5 downwards towards face 2
<image_3>
Step 4: Fold face 6 inwards towards face 2
<image_4>
Step 5: Fold face 1 inwards ... | B | {"initial_net": {"name": "1-3-2 Net", "faces": {"1": [[0.9999999999999999, 3.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0], [0.9999999999999999, 3.0, 0.0]], "2": [[1, 2, 0], [2, 2, 0], [2, 3, 0], [1, 3, 0]], "3": [[1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0], [1.0, 2.0, 0.0]], "4": [[1.0, 3.0, 1.0000000000000002], [2.... | q+steps+all_for_valid_vis | [
"no",
"yes"
] | |
94_q+steps+all_intermediate_vis | Check out a net with 6 faces below:
<image_0>Here are the steps to fold the net with face 1 as the base:
Step 1: Fold face 4 upwards
<image_1>
Step 2: Fold face 3 inwards towards face 1
<image_2>
Step 3: Fold face 2 inwards towards face 1
<image_3>
Step 4: Fold face 5 inwards towards face 2
<image_4>
Based on the abov... | A | {"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"3": [[0.9999999999999999, 2.0, 1.0], [1.0, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [0.9999999999999999, 2.0, 1.1102230246251565e-16]], "2": [[2.0, 2.0, 1.0000000000000002], [0.9999999999999999, 2.0, 1.0], [0.9999999999999999, 2.0, 1.1102230246251565e-16],... | q+steps+all_intermediate_vis | [
"yes",
"no"
] | |
35_q+steps+all_for_valid_vis | Check out a net with 6 faces below:
<image_0>Here are the steps to fold the net with face 1 as the base:
Step 1: Fold face 5 upwards
<image_1>
Step 2: Fold face 4 inwards towards face 1
<image_2>
Step 3: Fold face 3 inwards towards face 1
<image_3>
Step 4: Fold face 2 inwards towards face 5
<image_4>
Step 5: Fold face... | A | {"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"3": [[3.0, 2.0000000000000004, 1.0000000000000002], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251565e-16], [3.0, 2.0000000000000004, 2.220446049250313e-16]], "2": [[3.0, 1.0000000000000004, 1.0000000000000004], [3.0, 2.0000000000000004, 1.0000000000000002], [3... | q+steps+all_for_valid_vis | [
"yes",
"no"
] | |
28_q+steps+all_intermediate_vis | Check out a net with 6 faces below:
<image_0>Here are the steps to fold the net with face 4 as the base:
Step 1: Fold face 3 upwards
<image_1>
Step 2: Fold face 2 downwards
<image_2>
Step 3: Fold face 5 upwards towards face 2
<image_3>
Step 4: Fold face 6 inwards towards face 2
<image_4>
Based on the above steps, can ... | B | {"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"3": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "2": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], [0.9999999999999999, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]]... | q+steps+all_intermediate_vis | [
"no",
"yes"
] | |
117_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 3 as the base:
Step 1: Fold face 4 upwards
Step 2: Fold face 2 upwards
Step 3: Fold face 5 downwards towards face 2
Step 4: Fold face 6 upwards towards face 2
Step 5: Fold face 1 downwards towards face 3
Based on the above steps... | B | {"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "2": [[-6.123233995736766e-17, 0.0, 1.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [-6.123233995736766e-17, 1.0, 1.0]], "4": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "5": [[1.0, 0.0, 1.0... | q+steps | [
"no",
"yes"
] | |
53_q+steps+all_intermediate_vis | Check out a net with 6 faces below:
<image_0>Here are the steps to fold the net with face 3 as the base:
Step 1: Fold face 2 upwards
<image_1>
Step 2: Fold face 4 upwards
<image_2>
Step 4: Fold face 6 downwards towards face 1
Step 5: Fold face 1 downwards towards face 4
Based on the above steps, can the net be folded ... | B | {"initial_net": {"name": "Linear 6-Face Row", "faces": {"1": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "2": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "3": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "4": [[3.0, 0.0, 0.0], [3.0, 0.0,... | q+steps+all_intermediate_vis | [
"yes",
"no"
] | |
97_q+steps+partial_vis | Check out a net with 6 faces below:
<image_0>Here are the steps to fold the net with face 2 as the base:
Step 1: Fold face 3 upwards
<image_1>
Step 2: Fold face 6 inwards towards face 2
<image_2>
Step 3: Fold face 4 downwards towards face 6
<image_3>
Step 4: Fold face 5 downwards towards face 2
<image_4>
Step 5: Fold ... | B | {"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"3": [[0.0, 0.0, 0.0], [6.123233995736766e-17, 0.0, 1.0], [6.123233995736766e-17, 1.0, 1.0], [0.0, 1.0, 0.0]], "2": [[-1, 0, 0], [0, 0, 0], [0, 1, 0], [-1, 1, 0]], "4": [[6.123233995736766e-17, 0.0, 1.0], [-0.9999999999999999, 0.0, 1.0000000000000002], [-0.99... | q+steps+partial_vis | [
"no",
"yes"
] | |
59_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 5 upwards
<image_1>
Step 2: Fold face 4 inwards towards face 6
<image_2>
Step 3: Fold face 3 inwards towards face 6
Step 4: Fold face 2 inwards towards face 5
Step 5: Fold face 1 upwards towards f... | A | {"initial_net": {"name": "invalid_G", "faces": {"2": [[4.0, 1.0, 1.0000000000000004], [4.0, 2.0, 1.0000000000000002], [4.0, 2.0, 2.220446049250313e-16], [4.0, 1.0, 3.3306690738754696e-16]], "3": [[4.0, 2.0, 1.0000000000000002], [3.0, 2.0, 1.0], [3.0, 2.0, 1.1102230246251565e-16], [4.0, 2.0, 2.220446049250313e-16]], "4"... | q+steps+partial_vis | [
"no",
"yes"
] | |
22_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 2 upwards
<image_1>
Step 2: Fold face 3 inwards towards face 6
<image_2>
Step 3: Fold face 4 inwards towards face 6
Step 4: Fold face 5 inwards towards face 1
Step 5: Fold face 1 inwards towards f... | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"1": [[0.9999999999999999, 0.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.9999999999999999, 0.0, 1.0]], "2": [[1.0, 1.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [1.0, 1.0, 1.0]], "3": [[2.0, 1.0, 0.0], [2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.... | q+steps+partial_vis | [
"no",
"yes"
] | |
102_q+steps+all_for_valid_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 6 upwards
<image_1>
Step 2: Fold face 4 upwards towards face 6
<image_2>
Step 3: Fold face 3 inwards towards face 5
<image_3>
Step 4: Fold face 2 inwards towards face 5
<image_4>
Step 5: Fold face... | A | {"initial_net": {"name": "1-3-2 Net", "faces": {"1": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "2": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0000000000000004, 0.0, 0.0], [3.0000000000000004, 0.0, 1.0]], "3": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 0.0], [3.0,... | q+steps+all_for_valid_vis | [
"yes",
"no"
] | |
54_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 3 as the base:
Step 1: Fold face 2 upwards
Step 2: Fold face 4 upwards
Step 3: Fold face 5 downwards towards face 2
Step 4: Fold face 6 downwards towards face 2
Step 5: Fold face 1 inwards towards face 3
Based on the above steps... | B | {"initial_net": {"name": "invalid_G", "faces": {"2": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "3": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "4": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "5": [[2.0, 0.0, 1.0], [1.0, 0.0, 1.0], [... | q+steps | [
"yes",
"no"
] | |
12_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 1 as the base:
Step 1: Fold face 2 upwards
Step 2: Fold face 3 inwards towards face 1
Step 3: Fold face 4 downwards towards face 2
Step 4: Fold face 5 downwards towards face 1
Step 5: Fold face 6 upwards towards face 1
Based on ... | B | {"initial_net": {"name": "Invalid D", "faces": {"1": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "2": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "3": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "4": [[1.0, 1.0, 1.0], [1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002],... | q+steps | [
"yes",
"no"
] | |
7_q+steps+all_intermediate_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 2 inwards towards face 6
<image_2>
Step 3: Fold face 3 inwards towards face 6
<image_3>
Step 5: Fold face 5 inwards towards face 1
Based on the above steps, c... | B | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"1": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "2": [[1.0, 1.0, 0.0], [1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0]], "3": [[1.0, 0.0, 0.0], [0.0, -2.83276944882399e-16, 0.0], [0.0, -2.83276944882399e-16, 1.0], [1.0, 0... | q+steps+all_intermediate_vis | [
"yes",
"no"
] | |
71_q+steps+all_for_valid_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 5 upwards
<image_1>
Step 2: Fold face 4 inwards towards face 6
<image_2>
Step 3: Fold face 3 downwards towards face 5
<image_3>
Step 4: Fold face 2 downwards towards face 5
<image_4>
Step 5: Fold ... | B | {"initial_net": {"name": "1-3-2 Net", "faces": {"1": [[2.0, -1.0000000000000002, 0.0], [2.0, -0.9999999999999999, 1.0], [3.0, -0.9999999999999999, 1.0], [3.0, -1.0000000000000002, 1.1102230246251565e-16]], "2": [[3.0, -0.9999999999999999, 1.0], [3.0, 1.224646799147353e-16, 1.0], [3.0000000000000004, 1.8369701987210294e... | q+steps+all_for_valid_vis | [
"no",
"yes"
] |
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