qid stringlengths 8 11 | question stringlengths 94 387 | images images listlengths 1 1 | answer stringclasses 2
values | question_info stringlengths 1.37k 2.12k | type stringclasses 2
values | choices listlengths 2 2 |
|---|---|---|---|---|---|---|
375_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 4 as the base:
Step 1: Fold face 2 upwards
Step 2: Fold face 1 downwards
Step 3: Fold face 3 upwards towards face 1
Step 4: Fold face 6 downwards towards face 3
Step 5: Fold face 5 downwards towards face 3
Based on the above ste... | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"3": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "4": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "2": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0]], "1": [[2.0, 1.0, 1.... | q+steps | [
"no",
"yes"
] | |
369_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 inwards towards face 3
Step 3: Fold face 5 inwards towards face 3
Step 4: Fold face 6 downwards towards face 4
Step 5: Fold face 1 downwards towards face 3
Based on ... | A | {"initial_net": {"name": "1-3-2 Net", "faces": {"3": [[0, 2, 0], [1, 2, 0], [1, 3, 0], [0, 3, 0]], "4": [[1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [1.0, 3.0, 1.0], [1.0, 3.0, 0.0]], "2": [[0.0, 2.0, 0.0], [0.0, 2.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "5": [[-2.83276944882399e-16, 3.0, 0.0], [-2.83276944882399e-16, 3.0, 1... | q+steps | [
"yes",
"no"
] | |
431_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 4 as the base:
Step 1: Fold face 2 upwards
Step 2: Fold face 3 upwards towards face 2
Step 3: Fold face 5 downwards towards face 2
Step 4: Fold face 6 upwards towards face 5
Step 5: Fold face 1 inwards towards face 2
Based on th... | B | {"initial_net": {"name": "1-3-2 Net", "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]], "5": [[1.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0000000000000002], [1.0, 0.0, 1.0000000000000002]], "3": [[1.0, 1.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [1.0,... | q+steps | [
"no",
"yes"
] | |
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 5 upwards
Step 2: Fold face 4 inwards towards face 6
Step 3: Fold face 3 downwards towards face 5
Step 4: Fold face 2 downwards towards face 5
Step 5: Fold face 1 downwards towards face 2
Based o... | 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 | [
"no",
"yes"
] | |
446_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[0.9999999999999999, 0.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.9999999999999999, 0.0, 1.0]], "6": [[1.0, 1.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [1.0, 1.0, 1.0]], "2": [[2.0, 1.0, 0.0], [2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.... | q_only | [
"yes",
"no"
] | |
70_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 2 upwards
Step 2: Fold face 5 inwards towards face 6
Step 3: Fold face 1 downwards towards face 5
Step 4: Fold face 4 upwards towards face 2
Step 5: Fold face 3 downwards towards face 4
Based on ... | B | {"initial_net": {"name": "Big T - Variant 1", "faces": {"4": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "5": [[2.0, -6.123233995736766e-17, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 0.9999999999999999, 1.110223... | q+steps | [
"no",
"yes"
] | |
345_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 2 upwards
Step 2: Fold face 4 inwards towards face 6
Step 3: Fold face 5 downwards towards face 6
Step 4: Fold face 3 downwards towards face 5
Step 5: Fold face 1 downwards towards face 5
Based o... | A | {"initial_net": {"name": "1-3-2 Net", "faces": {"5": [[3.0, -1.0000000000000002, 1.1442377452219691e-17], [2.0, -1.0, 6.123233995736766e-17], [2.0, -0.9999999999999999, 1.0], [3.0, -1.0000000000000002, 1.0000000000000002]], "1": [[3.0, -0.9999999999999999, 1.0], [3.0, 1.224646799147353e-16, 1.0], [3.0000000000000004, 1... | q+steps | [
"yes",
"no"
] | |
231_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "Big T Net", "faces": {"3": [[0.9999999999999999, -0.9999999999999999, 0.0], [1.0, -0.9999999999999999, 1.0], [1.0, -2.0, 1.0], [0.9999999999999999, -2.0, 0.0]], "4": [[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, -0.999999999... | q_only | [
"yes",
"no"
] | |
119_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 5 upwards
Step 2: Fold face 4 inwards towards face 2
Step 3: Fold face 3 upwards towards face 5
Step 4: Fold face 6 inwards towards face 4
Step 5: Fold face 1 inwards towards face 2
Based on the ... | A | {"initial_net": {"name": "invalid_F", "faces": {"1": [[3.0, -2.83276944882399e-16, 0.0], [2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [3.0, -2.83276944882399e-16, 1.0]], "6": [[2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0]], "3": [[2.0, 1.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[3.0,... | q+steps | [
"no",
"yes"
] | |
72_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 5 upwards
Step 2: Fold face 4 downwards
Step 3: Fold face 3 upwards towards face 4
Step 4: Fold face 2 inwards towards face 4
Step 5: Fold face 6 upwards towards face 4
Based on the above steps, ... | B | {"initial_net": {"name": "1-3-2 Net", "faces": {"6": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "4": [[1.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0000000000000002], [1.0, 0.0, 1.0000000000000002]], "5": [[1.0, 1.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [1.0,... | q+steps | [
"no",
"yes"
] | |
146_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 6 upwards
Step 2: Fold face 3 downwards
Step 3: Fold face 2 downwards towards face 1
Step 4: Fold face 5 downwards towards face 1
Step 5: Fold face 4 downwards towards face 6
Based on the above s... | A | {"initial_net": {"name": "invalid_F", "faces": {"1": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "6": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "3": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "4": [[0.0, 1.0, 1.0000000000000002], [-2... | q+steps | [
"no",
"yes"
] | |
221_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 3 upwards
Step 2: Fold face 4 downwards
Step 3: Fold face 5 downwards towards face 1
Step 4: Fold face 2 downwards towards face 1
Step 5: Fold face 6 inwards towards face 5
Based on the above ste... | B | {"initial_net": {"name": "1-3-2 Net", "faces": {"5": [[0.9999999999999999, 3.0, 2.220446049250313e-16], [1.0, 3.0, 1.0000000000000002], [1.0, 2.0, 1.0], [0.9999999999999999, 2.0, 0.0]], "1": [[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... | q+steps | [
"no",
"yes"
] | |
479_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "invalid_G", "faces": {"1": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "2": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "5": [[0.0, 0.0, 1.0000000000000002], [-2... | q_only | [
"yes",
"no"
] | |
78_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 4 as the base:
Step 1: Fold face 5 upwards
Step 2: Fold face 1 inwards towards face 4
Step 3: Fold face 3 downwards towards face 1
Step 4: Fold face 6 downwards towards face 4
Step 5: Fold face 2 inwards towards face 1
Based on ... | A | {"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]], "4": [[1, 2, 0], [2, 2, 0], [2, 3, 0], [1, 3, 0]], "5": [[1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0], [1.0, 2.0, 0.0]], "3": [[1.0, 3.0, 1.0000000000000002], [2.... | q+steps | [
"yes",
"no"
] | |
102_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 4 as the base:
Step 1: Fold face 5 upwards
Step 2: Fold face 1 upwards towards face 5
Step 3: Fold face 3 downwards towards face 5
Step 4: Fold face 2 downwards towards face 5
Step 5: Fold face 6 inwards towards face 4
Based on ... | B | {"initial_net": {"name": "Big T - Variant 1", "faces": {"5": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "4": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "6": [[2.0, -6.123233995736766e-17, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 0.9999999999999999, 1.110223... | q+steps | [
"no",
"yes"
] | |
187_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"
] | |
155_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 4 as the base:
Step 1: Fold face 2 upwards
Step 2: Fold face 3 inwards towards face 4
Step 3: Fold face 5 upwards towards face 3
Step 4: Fold face 6 downwards towards face 2
Step 5: Fold face 1 inwards towards face 4
Based on th... | A | {"initial_net": {"name": "Big T Net", "faces": {"1": [[0.9999999999999999, -1.0, 6.123233995736766e-17], [1.0, 0.0, 0.0], [1.0, 6.123233995736765e-17, 1.0], [0.9999999999999999, -0.9999999999999999, 1.0]], "2": [[1.0, 0.0, 0.0], [2.0, 0.0, 0.0], [2.0, 6.123233995736766e-17, 1.0], [1.0, 6.123233995736766e-17, 1.0]], "3"... | q+steps | [
"yes",
"no"
] | |
244_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "invalid_F", "faces": {"1": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "6": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "3": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0]], "4": [[2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [... | q_only | [
"yes",
"no"
] | |
224_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "Linear 6-Face Row", "faces": {"1": [[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]], "6": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "4": [[2.0, 0.0, 1.0], [1.0, 0.0,... | q_only | [
"yes",
"no"
] | |
191_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 4 as the base:
Step 1: Fold face 6 upwards
Step 2: Fold face 5 inwards towards face 4
Step 3: Fold face 1 downwards towards face 6
Step 4: Fold face 2 downwards towards face 4
Step 5: Fold face 3 upwards towards face 4
Based on ... | A | {"initial_net": {"name": "Invalid D", "faces": {"4": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "6": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "1": [[1.0, 1.0, 1.0], [1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002],... | q+steps | [
"no",
"yes"
] | |
448_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 inwards towards face 1
Step 4: Fold face 5 inwards towards face 2
Step 5: Fold face 6 upwards towards face 2
Based on the ... | A | {"initial_net": {"name": "invalid_G", "faces": {"2": [[0.0, 0.9999999999999999, 1.0], [1.0, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [0.0, 1.0, 0.0]], "3": [[1.0, 0.9999999999999999, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 1.1102230246251565e-16], [1.0, 1.0, 0.0]], "4": [[1.0, 2.0, 1.0], [0.0, 2.0000000000000004, 1.0000000... | q+steps | [
"no",
"yes"
] | |
298_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"3": [[3.0, -2.83276944882399e-16, 0.0], [2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [3.0, -2.83276944882399e-16, 1.0]], "5": [[2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0]], "2": [[2.0, 1.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [2.0, 1... | q_only | [
"no",
"yes"
] | |
395_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 upwards towards face 2
Step 3: Fold face 5 downwards towards face 2
Step 4: Fold face 6 downwards towards face 1
Step 5: Fold face 4 inwards towards face 5
Based on ... | B | {"initial_net": {"name": "invalid_G", "faces": {"6": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "5": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "3": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "1": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0... | q+steps | [
"yes",
"no"
] | |
389_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "3-3 Net", "faces": {"1": [[2.0, 1.0, 1.0], [2.0, 1.0, 1.1102230246251565e-16], [2.0000000000000004, 0.0, 2.220446049250313e-16], [2.0000000000000004, 0.0, 1.0]], "6": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, 1.1102230246251565e-16], [2.0, 1.0, 1.0]], "5": [[0.99999999999999... | q_only | [
"no",
"yes"
] | |
235_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "Linear 6-Face Row", "faces": {"3": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "2": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "5": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "1": [[3, 0, 0], [4, 0, 0], [4, 1, 0], ... | q_only | [
"no",
"yes"
] | |
188_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "3-3 Net", "faces": {"5": [[0.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.0, 0.0, 1.0000000000000002]], "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": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "6": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.... | q_only | [
"no",
"yes"
] | |
396_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "Linear 6-Face Row", "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": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "5": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "1": [[2.0, 0.0, 1.0], [1.0, 0.0,... | q_only | [
"yes",
"no"
] | |
340_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 5 upwards
Step 2: Fold face 4 upwards towards face 5
Step 3: Fold face 2 downwards towards face 5
Step 4: Fold face 3 upwards towards face 2
Step 5: Fold face 6 downwards towards face 2
Based on ... | B | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"2": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "4": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "1": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "3": [[3.0, 1.0, 0.... | q+steps | [
"yes",
"no"
] | |
184_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "6": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "2": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "4": [[3, 1, 0], [4, 1, 0... | q_only | [
"no",
"yes"
] | |
255_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 5 as the base:
Step 1: Fold face 6 upwards
Step 2: Fold face 4 upwards towards face 6
Step 3: Fold face 3 inwards towards face 5
Step 4: Fold face 2 inwards towards face 5
Step 5: Fold face 1 downwards towards face 3
Based on th... | B | {"initial_net": {"name": "1-3-2 Net", "faces": {"1": [[2.0, 0.9999999999999996, 1.0], [3.0, 1.0, 1.0], [3.0000000000000004, 0.0, 1.0], [2.0000000000000004, -4.440892098500626e-16, 1.0]], "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,... | q+steps | [
"no",
"yes"
] | |
398_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 2 upwards
Step 2: Fold face 5 downwards
Step 3: Fold face 1 downwards towards face 3
Step 4: Fold face 4 downwards towards face 6
Step 5: Fold face 3 upwards towards face 5
Based on the above ste... | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"3": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "6": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "2": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0]], "5": [[2.0, 1.0, 1.... | q+steps | [
"no",
"yes"
] | |
75_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 5 upwards
Step 2: Fold face 4 downwards
Step 3: Fold face 1 downwards towards face 2
Step 4: Fold face 3 upwards towards face 1
Step 5: Fold face 6 inwards towards face 2
Based on the above steps... | A | {"initial_net": {"name": "Big T - Variant 3", "faces": {"6": [[0.9999999999999999, -1.0, 6.123233995736766e-17], [1.0, 0.0, 0.0], [1.0, 6.123233995736765e-17, 1.0], [0.9999999999999999, -0.9999999999999999, 1.0]], "3": [[1.0, 0.0, 0.0], [2.0, 0.0, 0.0], [2.0, 6.123233995736766e-17, 1.0], [1.0, 6.123233995736766e-17, 1.... | q+steps | [
"yes",
"no"
] | |
506_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "2 Rows of 3", "faces": {"2": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, 1.1102230246251565e-16], [2.0, 1.0, 1.0]], "6": [[1.0, 1.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [1.0, 1.0, 1.0]], "4": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "3": [[0.99... | q_only | [
"no",
"yes"
] | |
57_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "3-3 Net", "faces": {"2": [[0.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.0, 0.0, 1.0000000000000002]], "4": [[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": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "1": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.... | q_only | [
"yes",
"no"
] | |
442_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 5 as the base:
Step 1: Fold face 6 upwards
Step 2: Fold face 3 inwards towards face 5
Step 3: Fold face 2 upwards towards face 6
Step 4: Fold face 4 upwards towards face 2
Step 5: Fold face 1 inwards towards face 3
Based on the ... | A | {"initial_net": {"name": "2 Rows of 3", "faces": {"1": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 0.0, -4.978996250514798e-17], [1.0, 0.0, 0.9999999999999999]], "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, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0... | q+steps | [
"no",
"yes"
] | |
429_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "Big T Net", "faces": {"1": [[0.9999999999999999, -2.0, 0.9999999999999998], [1.0, -3.0, 1.0000000000000002], [1.0, -3.0000000000000004, 2.220446049250313e-16], [0.9999999999999999, -2.0000000000000004, -2.220446049250313e-16]], "2": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.0000000000000... | q_only | [
"yes",
"no"
] | |
284_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "1-3-2 Net", "faces": {"6": [[0.9999999999999999, 0.9999999999999998, 0.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.9999999999999999, -2.220446049250313e-16, 2.220446049250313e-16]], "2": [[1.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0000000000000002], [1.0, 0.0, 1.000000000000000... | q_only | [
"no",
"yes"
] | |
103_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 4 as the base:
Step 1: Fold face 3 upwards
Step 2: Fold face 5 inwards towards face 4
Step 3: Fold face 6 inwards towards face 4
Step 4: Fold face 1 inwards towards face 3
Step 5: Fold face 2 inwards towards face 3
Based on the ... | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"3": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "5": [[1.0, 1.0, 0.0], [1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0]], "6": [[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 | [
"no",
"yes"
] | |
31_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "Invalid D", "faces": {"1": [[2.0, 0.9999999999999999, -1.0], [2.0, 0.9999999999999999, -1.1102230246251565e-16], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, -1.0]], "2": [[0.9999999999999999, 1.0, -1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, -1.0]], "5": [[1, 1, 0], [1, 2,... | q_only | [
"yes",
"no"
] | |
217_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 3 upwards
Step 2: Fold face 5 inwards towards face 1
Step 3: Fold face 4 inwards towards face 1
Step 4: Fold face 6 upwards towards face 4
Step 5: Fold face 2 downwards towards face 4
Based on th... | B | {"initial_net": {"name": "Big T Net", "faces": {"4": [[0.9999999999999999, -1.0, 6.123233995736766e-17], [1.0, 0.0, 0.0], [1.0, 6.123233995736765e-17, 1.0], [0.9999999999999999, -0.9999999999999999, 1.0]], "3": [[1.0, 0.0, 0.0], [2.0, 0.0, 0.0], [2.0, 6.123233995736766e-17, 1.0], [1.0, 6.123233995736766e-17, 1.0]], "5"... | q+steps | [
"no",
"yes"
] | |
293_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "1-3-2 Net", "faces": {"6": [[0, 2, 0], [1, 2, 0], [1, 3, 0], [0, 3, 0]], "2": [[1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [1.0, 3.0, 1.0], [1.0, 3.0, 0.0]], "3": [[0.0, 2.0, 0.0], [0.0, 2.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "1": [[-2.83276944882399e-16, 3.0, 0.0], [-2.83276944882399e-16, 3.0, 1... | q_only | [
"yes",
"no"
] | |
319_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "t-shaped Net", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "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": [[-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... | q_only | [
"no",
"yes"
] | |
161_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "Net H: Two rows with bottom row shifted right", "faces": {"4": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "1": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "3": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "5": ... | q_only | [
"no",
"yes"
] | |
565_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"3": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "6": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "2": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "4": [[3.0, 1.0, 0.... | q_only | [
"no",
"yes"
] | |
534_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 4 as the base:
Step 1: Fold face 2 upwards
Step 2: Fold face 5 inwards towards face 4
Step 3: Fold face 3 upwards towards face 5
Step 4: Fold face 6 downwards towards face 2
Step 5: Fold face 1 downwards towards face 2
Based on ... | A | {"initial_net": {"name": "3-3 Net", "faces": {"1": [[2.0, -0.9999999999999999, 1.0], [2.0, 1.1442377452219642e-17, 1.0], [2.0000000000000004, -3.8347585052928364e-17, 0.0], [2.0000000000000004, -0.9999999999999999, 0.0]], "6": [[0.9999999999999999, -0.9999999999999999, 1.0], [1.0, 6.123233995736765e-17, 1.0], [2.0, 1.1... | q+steps | [
"yes",
"no"
] | |
129_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"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_only | [
"no",
"yes"
] | |
33_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "2 Rows of 3", "faces": {"2": [[3.0, -1.0000000000000002, -0.9999999999999998], [3.0, -2.220446049250313e-16, -0.9999999999999998], [3.0, -4.440892098500626e-16, 2.220446049250313e-16], [3.0, -1.0000000000000004, 2.220446049250313e-16]], "6": [[3.0, -2.220446049250313e-16, -0.9999999999999998],... | q_only | [
"yes",
"no"
] | |
507_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 3 upwards
Step 2: Fold face 2 inwards towards face 1
Step 3: Fold face 6 inwards towards face 1
Step 4: Fold face 4 inwards towards face 1
Step 5: Fold face 5 upwards towards face 1
Based on the ... | A | {"initial_net": {"name": "invalid_E", "faces": {"5": [[4.0, 1.0, 3.3306690738754696e-16], [4.0, 2.0, 2.220446049250313e-16], [3.0, 2.0, 1.6081226496766364e-16], [3.0, 1.0, -6.163438522699459e-16]], "1": [[3, 1, 0], [4, 1, 0], [4, 2, 0], [3, 2, 0]], "4": [[4.0, 1.0, 1.0000000000000004], [4.0, 2.0, 1.0000000000000002], [... | q+steps | [
"no",
"yes"
] | |
572_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 1 upwards
Step 2: Fold face 2 upwards
Step 3: Fold face 5 downwards towards face 1
Step 4: Fold face 4 inwards towards face 3
Step 5: Fold face 6 downwards towards face 1
Based on the above steps... | A | {"initial_net": {"name": "invalid_G", "faces": {"1": [[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]], "2": [[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 | [
"no",
"yes"
] | |
72_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "1-3-2 Net", "faces": {"6": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "4": [[1.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0000000000000002], [1.0, 0.0, 1.0000000000000002]], "5": [[1.0, 1.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [1.0,... | q_only | [
"yes",
"no"
] | |
399_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 4 as the base:
Step 1: Fold face 5 upwards
Step 2: Fold face 2 downwards
Step 3: Fold face 1 upwards towards face 2
Step 4: Fold face 3 downwards towards face 1
Step 5: Fold face 6 downwards towards face 2
Based on the above ste... | A | {"initial_net": {"name": "Big T - Variant 3", "faces": {"6": [[0.9999999999999999, -2.0, 0.9999999999999998], [1.0, -3.0, 1.0000000000000002], [1.0, -3.0000000000000004, 2.220446049250313e-16], [0.9999999999999999, -2.0000000000000004, -2.220446049250313e-16]], "3": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.00000... | q+steps | [
"yes",
"no"
] | |
414_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 1 upwards
Step 2: Fold face 2 inwards towards face 3
Step 3: Fold face 5 downwards towards face 1
Step 4: Fold face 4 downwards towards face 3
Step 5: Fold face 6 inwards towards face 3
Based on ... | A | {"initial_net": {"name": "2-2 net", "faces": {"3": [[0, 3, 0], [1, 3, 0], [1, 4, 0], [0, 4, 0]], "1": [[0.0, 3.0, 1.0], [1.0, 3.0, 1.0], [1.0, 3.0, 0.0], [0.0, 3.0, 0.0]], "2": [[1.0, 3.0, 1.0], [1.0, 4.0, 1.0], [1.0, 4.0, 0.0], [1.0, 3.0, 0.0]], "5": [[0.0, 3.0, 1.0], [0.0, 4.0, 1.0], [1.0, 4.0, 1.0], [1.0, 3.0, 1.0]]... | q+steps | [
"yes",
"no"
] | |
122_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 5 as the base:
Step 1: Fold face 1 upwards
Step 2: Fold face 4 downwards
Step 3: Fold face 2 downwards towards face 6
Step 4: Fold face 3 upwards towards face 6
Step 5: Fold face 6 upwards towards face 4
Based on the above steps... | A | {"initial_net": {"name": "Linear 6-Face Row", "faces": {"6": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "5": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "1": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "4": [[2.0, 0.0, 1.0], [1.0, 0.0,... | q+steps | [
"no",
"yes"
] | |
183_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "invalid_G", "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]], "5": [[1.0, 0.9999999999999999, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 1.1102230246251565e-16], [1.0, 1.0, 0.0]], "3": [[1.0, 2.0, 1.0], [0.0, 2.0000000000000004, 1.0000000... | q_only | [
"yes",
"no"
] | |
367_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "Big T - Variant 1", "faces": {"1": [[0.9999999999999999, -2.0, 0.9999999999999998], [1.0, -3.0, 1.0000000000000002], [1.0, -3.0000000000000004, 2.220446049250313e-16], [0.9999999999999999, -2.0000000000000004, -2.220446049250313e-16]], "2": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.00000... | q_only | [
"yes",
"no"
] | |
202_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"2": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "4": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "1": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "3": [[3, 1, 0], [4, 1, 0... | q_only | [
"no",
"yes"
] | |
539_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 3 upwards
Step 2: Fold face 5 downwards
Step 3: Fold face 1 downwards towards face 2
Step 4: Fold face 4 inwards towards face 5
Step 5: Fold face 6 upwards towards face 1
Based on the above steps... | B | {"initial_net": {"name": "invalid_G", "faces": {"1": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "5": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "3": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "2": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0... | q+steps | [
"yes",
"no"
] | |
273_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 towards face 2
Step 3: Fold face 5 inwards towards face 3
Step 4: Fold face 6 downwards towards face 2
Step 5: Fold face 1 inwards towards face 3
Based on th... | B | {"initial_net": {"name": "2-2 net", "faces": {"1": [[0.9999999999999999, 3.0, 1.0], [1.0, 3.0, 0.0], [2.0, 3.0, 1.1102230246251565e-16], [2.0, 3.0, 1.0]], "2": [[0.9999999999999999, 2.0, 1.0], [1.0, 2.0, 0.0], [1.0, 3.0, 0.0], [0.9999999999999999, 3.0, 1.0]], "3": [[1, 2, 0], [2, 2, 0], [2, 3, 0], [1, 3, 0]], "4": [[1.... | q+steps | [
"no",
"yes"
] | |
331_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 4 upwards towards face 2
Step 3: Fold face 6 downwards towards face 2
Step 4: Fold face 3 downwards towards face 2
Step 5: Fold face 5 inwards towards face 1
Based on ... | B | {"initial_net": {"name": "Big T - Variant 3", "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]], "1": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "5": [[2.0, 1.0, 2.220446049250313e-16], [2.0, 0.0, 1.1102230246251565e-16], [2.0, 0.0, 1.0], [2.0, 0.999999... | q+steps | [
"no",
"yes"
] | |
529_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 4 upwards
Step 2: Fold face 3 inwards towards face 1
Step 3: Fold face 2 downwards towards face 3
Step 4: Fold face 6 inwards towards face 1
Step 5: Fold face 5 downwards towards face 6
Based on ... | A | {"initial_net": {"name": "t-shaped Net", "faces": {"4": [[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]], "6": [[1.232595164407831e-32, 1.0, 0.0], [6.123233995736766e-17, 1.0, 1.0], [-0.9999999999999999, 1.0, 1.0], [-0.9999999999999999, 1.0, 1.1102230246251565e-16... | q+steps | [
"yes",
"no"
] | |
237_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"4": [[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]], "5": [[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_only | [
"yes",
"no"
] | |
357_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"6": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "5": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "4": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "3": [[3, 1, 0], [4, 1, 0... | q_only | [
"no",
"yes"
] | |
269_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 5 as the base:
Step 1: Fold face 2 upwards
Step 2: Fold face 1 inwards towards face 5
Step 3: Fold face 3 downwards towards face 1
Step 4: Fold face 4 downwards towards face 5
Step 5: Fold face 6 upwards towards face 2
Based on ... | B | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"6": [[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]], "4": [[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 | [
"yes",
"no"
] | |
98_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 4 as the base:
Step 1: Fold face 2 upwards
Step 2: Fold face 5 inwards towards face 4
Step 3: Fold face 3 inwards towards face 4
Step 4: Fold face 1 downwards towards face 5
Step 5: Fold face 6 inwards towards face 1
Based on th... | A | {"initial_net": {"name": "Big T - Variant 2", "faces": {"1": [[2.0, -0.9999999999999999, 1.0], [3.0, -0.9999999999999999, 1.0], [3.0, -2.0, 1.0], [2.0, -2.0, 1.0000000000000004]], "3": [[3.0, -0.9999999999999999, 1.0], [3.0, -0.9999999999999999, 0.0], [3.0, -2.0, 0.0], [3.0, -2.0, 1.0]], "4": [[2, -2, 0], [3, -2, 0], [... | q+steps | [
"yes",
"no"
] | |
20_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 5 upwards
Step 2: Fold face 4 upwards towards face 5
Step 3: Fold face 3 downwards towards face 4
Step 4: Fold face 2 downwards towards face 1
Step 5: Fold face 6 downwards towards face 1
Based o... | A | {"initial_net": {"name": "invalid_G", "faces": {"1": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "5": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "3": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "2": [[0.0, 0.0, 1.0000000000000002], [-2... | q+steps | [
"no",
"yes"
] | |
47_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 5 upwards
Step 2: Fold face 2 downwards
Step 3: Fold face 1 upwards towards face 5
Step 4: Fold face 4 downwards towards face 3
Step 5: Fold face 6 downwards towards face 1
Based on the above ste... | B | {"initial_net": {"name": "Big T - Variant 2", "faces": {"1": [[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, 0.9999999999999999, 1.0000000000000002], [2.0, 1.0, 2.220446049250313e-16], [2.0, 1.110223024625... | q+steps | [
"no",
"yes"
] | |
74_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 5 as the base:
Step 1: Fold face 1 upwards
Step 2: Fold face 4 inwards towards face 5
Step 3: Fold face 2 downwards towards face 1
Step 4: Fold face 3 downwards towards face 4
Step 5: Fold face 6 upwards towards face 3
Based on ... | B | {"initial_net": {"name": "Invalid D", "faces": {"3": [[3.0000000000000004, 3.0000000000000004, 2.220446049250313e-16], [3.0000000000000004, 2.0, 0.0], [3.0, 2.0, 1.0], [3.0, 3.0, 1.0000000000000002]], "2": [[3.0, 3.0, 1.0000000000000002], [3.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 3.0, 1.0000000000000002]], "4": [[3.0, 2.... | q+steps | [
"yes",
"no"
] | |
279_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 5 inwards towards face 1
Step 3: Fold face 6 downwards towards face 5
Step 4: Fold face 4 downwards towards face 1
Step 5: Fold face 3 downwards towards face 2
Based o... | A | {"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"2": [[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]], "1": [[-1, 0, 0], [0, 0, 0], [0, 1, 0], [-1, 1, 0]], "6": [[6.123233995736766e-17, 0.0, 1.0], [-0.9999999999999999, 0.0, 1.0000000000000002], [-0.99... | q+steps | [
"yes",
"no"
] | |
133_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"1": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "2": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "3": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0]], "4": [[2.0, 1.0, 1.... | q_only | [
"yes",
"no"
] | |
452_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "Big T - Variant 2", "faces": {"5": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "6": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "2": [[-1.2246467991473532e-16, 0.9999999999999999, 1.0], [0.9999999999999999, 1.0, 1.0000000000000002], [1.0, 0.0, 1.0000000000000002], [... | q_only | [
"no",
"yes"
] | |
219_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 5 as the base:
Step 1: Fold face 1 upwards
Step 2: Fold face 2 upwards towards face 1
Step 3: Fold face 4 inwards towards face 3
Step 4: Fold face 3 inwards towards face 5
Step 5: Fold face 6 downwards towards face 4
Based on th... | A | {"initial_net": {"name": "Net H: Two rows with bottom row shifted right", "faces": {"4": [[0.9999999999999999, 0.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.9999999999999999, 0.0, 1.0]], "1": [[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, 1.0, 1.0], [2.0, 0.0, 1.0],... | q+steps | [
"no",
"yes"
] | |
93_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 5 upwards
Step 2: Fold face 3 upwards
Step 3: Fold face 6 inwards towards face 5
Step 4: Fold face 4 downwards towards face 5
Step 5: Fold face 1 downwards towards face 5
Based on the above steps... | A | {"initial_net": {"name": "3-3 Net", "faces": {"5": [[0.0, 2.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.0, 2.0, 1.0]], "2": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "3": [[0.0, 0.9999999999999999, 1.0], [1.0, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [0.0, 1.0, 0.0]], "6": [[1.0, 0.9999999999999999, 1.0], [1.0,... | q+steps | [
"yes",
"no"
] | |
387_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 5 upwards
Step 2: Fold face 2 upwards towards face 5
Step 3: Fold face 4 downwards towards face 5
Step 4: Fold face 1 downwards towards face 5
Step 5: Fold face 3 downwards towards face 6
Based o... | A | {"initial_net": {"name": "Big T - Variant 2", "faces": {"5": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "3": [[2.0, 0.9999999999999999, 1.0000000000000002], [2.0, 1.0, 2.220446049250313e-16], [2.0, 1.110223024625... | q+steps | [
"yes",
"no"
] | |
446_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 6 upwards
Step 2: Fold face 5 inwards towards face 3
Step 3: Fold face 2 inwards towards face 3
Step 4: Fold face 4 inwards towards face 5
Step 5: Fold face 1 inwards towards face 5
Based on the ... | B | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[0.9999999999999999, 0.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.9999999999999999, 0.0, 1.0]], "6": [[1.0, 1.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [1.0, 1.0, 1.0]], "2": [[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 | [
"yes",
"no"
] | |
484_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "invalid_E", "faces": {"4": [[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": [[-4.930380657631324e-32, 1.0, 1.0000000000000002], [-2.83276944882399e-16, 1.0, 2.220446049250313e-16], [0.9999999999999997, 1.0, -6.123233995736767e-17], [0.9999999999999999, 1.0, 0.99999999... | q_only | [
"yes",
"no"
] | |
537_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 5 upwards
Step 2: Fold face 4 upwards
Step 3: Fold face 6 downwards towards face 5
Step 4: Fold face 3 downwards towards face 2
Step 5: Fold face 1 upwards towards face 4
Based on the above steps... | A | {"initial_net": {"name": "Linear 6-Face Row", "faces": {"1": [[4.0, 0.0, -9.494107596574928e-16], [5.0, 0.0, 0.0], [5.0, 1.0, 0.0], [4.0, 1.0, -9.494107596574928e-16]], "3": [[5.0, 0.0, 0.0], [5.0, 0.0, 1.0], [5.0, 1.0, 1.0], [5.0, 1.0, 0.0]], "6": [[5.0, 0.0, 1.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [5.0, 1.0, 1.0]], "... | q+steps | [
"no",
"yes"
] | |
158_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "Linear 6-Face Row", "faces": {"3": [[4.0, 0.0, -9.494107596574928e-16], [5.0, 0.0, 0.0], [5.0, 1.0, 0.0], [4.0, 1.0, -9.494107596574928e-16]], "2": [[5.0, 0.0, 0.0], [5.0, 0.0, 1.0], [5.0, 1.0, 1.0], [5.0, 1.0, 0.0]], "5": [[5.0, 0.0, 1.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [5.0, 1.0, 1.0]], "... | q_only | [
"yes",
"no"
] | |
502_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 3 upwards
Step 2: Fold face 2 inwards towards face 1
Step 3: Fold face 5 downwards towards face 3
Step 4: Fold face 4 downwards towards face 2
Step 5: Fold face 6 downwards towards face 5
Based o... | B | {"initial_net": {"name": "2-2 net", "faces": {"6": [[3.0, -2.8327694488239893e-16, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0, 0.9999999999999997, 2.220446049250313e-16]], "4": [[2.0000000000000004, -2.83276944882399e-16, 0.0], [2.0, 0.0, 1.0], [3.0, 0.0, 1.000000000000... | q+steps | [
"no",
"yes"
] | |
90_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 4 as the base:
Step 1: Fold face 5 upwards
Step 2: Fold face 2 upwards
Step 3: Fold face 6 downwards towards face 5
Step 4: Fold face 3 downwards towards face 4
Step 5: Fold face 1 inwards towards face 6
Based on the above steps... | B | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"3": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "6": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "2": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "4": [[3, 1, 0], [4, 1, 0... | q+steps | [
"yes",
"no"
] | |
388_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 1 upwards
Step 2: Fold face 2 inwards towards face 6
Step 3: Fold face 5 inwards towards face 6
Step 4: Fold face 4 inwards towards face 5
Step 5: Fold face 3 downwards towards face 5
Based on th... | B | {"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"2": [[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]], "5": [[2.0, 2.0, 1.0000000000000002], [0.9999999999999999, 2.0, 1.0], [0.9999999999999999, 2.0, 1.1102230246251565e-16],... | q+steps | [
"no",
"yes"
] | |
471_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "Net H: Two rows with bottom row shifted right", "faces": {"6": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "4": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "1": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "3": ... | q_only | [
"yes",
"no"
] | |
445_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "Net H: Two rows with bottom row shifted right", "faces": {"1": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "3": [[1.0, 1.0, 1.0], [1.0, 0.9999999999999998, 2.0], [1.0, 1.9999999999999998, 2.0], [1.0, 2.0, 1.0000000000... | q_only | [
"yes",
"no"
] | |
433_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "2 Rows of 3", "faces": {"6": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [0.9999999999999998, 2.0, -1.232595164407831e-32], [0.9999999999999997, 2.0, 1.0]], "5": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "2": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0]], "4": ... | q_only | [
"no",
"yes"
] | |
4_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "2-2 net", "faces": {"5": [[3.0, 1.0, 1.0000000000000004], [3.0, 2.0, 1.0], [3.0, 1.9999999999999996, 0.0], [3.0, 0.9999999999999996, 4.440892098500626e-16]], "4": [[2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0], [3.0, 1.0, 1.0000000000000004]], "6": [[2.0, 2.0, 1.0], [2.0, 2.0, 0.0], [3.0, ... | q_only | [
"no",
"yes"
] | |
110_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 4 as the base:
Step 1: Fold face 3 upwards
Step 2: Fold face 2 downwards
Step 3: Fold face 5 upwards towards face 1
Step 4: Fold face 6 inwards towards face 2
Step 5: Fold face 1 downwards 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, 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]], "3": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "4": [[3, 1, 0], [4, 1, 0... | q+steps | [
"yes",
"no"
] | |
122_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "Linear 6-Face Row", "faces": {"6": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "5": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "1": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "4": [[2.0, 0.0, 1.0], [1.0, 0.0,... | q_only | [
"no",
"yes"
] | |
522_q+steps | Check out a net with 6 faces below:
<image_0>Below are the steps to fold the net with face 4 as the base:
Step 1: Fold face 1 upwards
Step 2: Fold face 2 inwards towards face 4
Step 3: Fold face 3 inwards towards face 4
Step 4: Fold face 5 upwards towards face 1
Step 5: Fold face 6 inwards
Based on the above steps, ca... | A | {"initial_net": {"name": "2 Rows of 3", "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, 0.0, 1.0]], "4": [[0,... | q+steps | [
"no",
"yes"
] | |
86_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | B | {"initial_net": {"name": "3-3 Net", "faces": {"1": [[0.0, 2.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.0, 2.0, 1.0]], "2": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "3": [[0.0, 0.9999999999999999, 1.0], [1.0, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [0.0, 1.0, 0.0]], "4": [[1.0, 0.9999999999999999, 1.0], [1.0,... | q_only | [
"no",
"yes"
] | |
567_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 1 upwards
Step 2: Fold face 2 upwards
Step 3: Fold face 4 inwards towards face 2
Step 4: Fold face 5 downwards towards face 2
Step 5: Fold face 6 inwards towards face 3
Based on the above steps, ... | A | {"initial_net": {"name": "1-3-2 Net", "faces": {"6": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "2": [[1.0, 2.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0], [1.0, 2.0, 1.0]], "3": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "1": [[1.0, 0.9999999999999999, 1.0], [2.... | q+steps | [
"yes",
"no"
] | |
296_q_only | Check out a net with 6 faces below:
<image_0>Can the net be folded to form a cube, yes or no? | A | {"initial_net": {"name": "Big T Net", "faces": {"4": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "3": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "5": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "1": [[3.0, -6.123233995736766e-17, 1.0],... | q_only | [
"yes",
"no"
] | |
234_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 5 upwards
Step 2: Fold face 1 upwards
Step 3: Fold face 3 inwards towards face 6
Step 4: Fold face 4 downwards towards face 1
Step 5: Fold face 2 downwards towards face 1
Based on the above steps... | A | {"initial_net": {"name": "3-3 Net", "faces": {"2": [[2.0, -0.9999999999999999, 1.0], [2.0, 1.1442377452219642e-17, 1.0], [2.0000000000000004, -3.8347585052928364e-17, 0.0], [2.0000000000000004, -0.9999999999999999, 0.0]], "4": [[0.9999999999999999, -0.9999999999999999, 1.0], [1.0, 6.123233995736765e-17, 1.0], [2.0, 1.1... | q+steps | [
"yes",
"no"
] | |
382_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 3 upwards
Step 2: Fold face 1 downwards
Step 3: Fold face 5 downwards towards face 3
Step 4: Fold face 4 downwards towards face 6
Step 5: Fold face 2 upwards towards face 3
Based on the above ste... | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"2": [[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]], "4": [[5.0, 1.0, 0.0], [5.0, 1.0, 1.0], [5.0, 2.0, 1.0], [5.0, 2.0, 0.0]], "1": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,... | q+steps | [
"no",
"yes"
] | |
343_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 6 upwards
Step 2: Fold face 2 upwards towards face 6
Step 3: Fold face 3 downwards towards face 6
Step 4: Fold face 4 downwards towards face 1
Step 5: Fold face 5 upwards towards face 1
Based on ... | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"1": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "3": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "4": [[0.0, 1.0, 1.... | q+steps | [
"no",
"yes"
] |
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