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 |
|---|---|---|---|---|---|---|
230_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_F", "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, 1.0000000000000002], [-2... | q_only | [
"no",
"yes"
] | |
171_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 5 inwards towards face 2
Step 3: Fold face 4 inwards towards face 2
Step 4: Fold face 3 downwards towards face 1
Step 5: Fold face 6 downwards towards face 5
Based on ... | A | {"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"1": [[0.0, 0.0, 0.0], [1.0, 0.0, 0.0], [1.0, 6.123233995736766e-17, 1.0], [0.0, 6.123233995736766e-17, 1.0]], "5": [[-6.123233995736766e-17, -1.0, 6.123233995736766e-17], [0.0, 0.0, 0.0], [0.0, 6.123233995736765e-17, 1.0], [-6.123233995736766e-17, -0.9999999... | q+steps | [
"yes",
"no"
] | |
210_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 inwards towards face 5
Step 4: Fold face 3 downwards towards face 4
Step 5: Fold face 6 upwards towards face 3
Based on th... | B | {"initial_net": {"name": "1-3-2 Net", "faces": {"3": [[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]], "4": [[2.0, 1.0, 1.0], [2.0,... | q+steps | [
"no",
"yes"
] | |
64_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=3)", "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]], "2": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "5": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "6": [[3.0, 1.0, 0.... | q_only | [
"yes",
"no"
] | |
423_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": {"1": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "4": [[1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.0, 2.0, 1.0], [0.0, 2.0, 0.0]], "5": [[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": [[0.0, 0.9999999999999999, 0.0], [0.0, 0.9999999999999999, 1.0], [... | q_only | [
"yes",
"no"
] | |
88_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 1", "faces": {"1": [[0.9999999999999999, -0.9999999999999999, 0.0], [1.0, -0.9999999999999999, 1.0], [1.0, -2.0, 1.0], [0.9999999999999999, -2.0, 0.0]], "2": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "3": [[2.0, -1.0... | q_only | [
"no",
"yes"
] | |
51_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 Net", "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]], "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]], "3": [[1.0, -6.123233995736766e-17, 1.0],... | q_only | [
"no",
"yes"
] | |
543_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 3 inwards towards face 4
Step 3: Fold face 2 inwards towards face 4
Step 4: Fold face 5 inwards towards face 1
Step 5: Fold face 6 upwards towards face 1
Based on the ... | A | {"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]], "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]], "2": [[1.0, 2.0, 1.0], [0.0, 2.0000000000000004, 1.0000000... | q+steps | [
"no",
"yes"
] | |
404_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": {"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]], "3": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "6": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "4": [[3, 0, 0], [4, 0, 0], [4, 1, 0], ... | q_only | [
"no",
"yes"
] | |
267_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=0)", "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]], "1": [[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]], "5": [[3, 1, 0], [4, 1, 0... | q_only | [
"yes",
"no"
] | |
181_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 downwards
Step 3: Fold face 4 downwards towards face 5
Step 4: Fold face 2 inwards towards face 1
Step 5: Fold face 3 upwards towards face 4
Based on the above steps... | B | {"initial_net": {"name": "Invalid D", "faces": {"3": [[3.0, 3.0, -9.494107596574928e-16], [3.0, 2.0, -6.123233995736766e-17], [4.0, 2.0, 0.0], [4.0, 3.0, 0.0]], "2": [[4.0, 3.0, 0.0], [4.0, 2.0, 0.0], [4.0, 2.0, 1.0], [4.0, 3.0, 1.0]], "4": [[4.0, 2.0, 0.0], [4.0, 2.0, 1.0], [3.0, 2.0, 1.0], [3.0, 2.0, 0.0]], "1": [[4.... | q+steps | [
"yes",
"no"
] | |
553_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": {"6": [[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]], "5": [[2.0, 2.0, 1.0], [2.0, 2.0, 0.0], [3.0, ... | q_only | [
"no",
"yes"
] | |
277_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": {"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, 0.9999999999999999, 1.0], [... | q_only | [
"yes",
"no"
] | |
523_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 3 upwards towards face 5
Step 4: Fold face 1 downwards towards face 5
Step 5: Fold face 6 inwards towards face 5
Based on the above steps, ... | A | {"initial_net": {"name": "1-3-2 Net", "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]], "1": [[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 | [
"yes",
"no"
] | |
259_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_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]], "5": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "3": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "2": [[2.0, 0.0, 1.0], [1.0, 0.0, 1.0], [... | q_only | [
"no",
"yes"
] | |
167_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": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "5": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "4": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "3": [[3.0, 1.0, 0.... | q_only | [
"no",
"yes"
] | |
176_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_F", "faces": {"1": [[4.0, 1.0000000000000004, 2.220446049250313e-16], [3.0, 1.0, 1.1102230246251564e-16], [3.0, 1.0, 1.0], [4.0, 1.0000000000000004, 1.0]], "6": [[3.0, 1.0, 1.1102230246251564e-16], [3.0, 0.0, 1.1102230246251565e-16], [3.0, 6.798155367234455e-33, 1.0], [3.0, 1.0, 1.0]],... | q_only | [
"no",
"yes"
] | |
355_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 Variant 1", "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_only | [
"no",
"yes"
] | |
443_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 4 downwards towards face 2
Step 4: Fold face 3 upwards towards face 2
Step 5: Fold face 6 downwards towards face 3
Based on ... | A | {"initial_net": {"name": "2-2 net", "faces": {"3": [[0.0, 3.0, 0.0], [1.0, 3.0, 0.0], [1.0, 3.0, 1.0], [0.0, 3.0, 1.0]], "1": [[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]], "5": [[0.0, 2.0, 0.0], [0.0, 2.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]]... | q+steps | [
"yes",
"no"
] | |
508_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=3)", "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_only | [
"no",
"yes"
] | |
61_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 upwards towards face 4
Step 3: Fold face 5 downwards towards face 4
Step 4: Fold face 2 downwards towards face 4
Step 5: Fold face 1 inwards towards face 6
Based on ... | A | {"initial_net": {"name": "Big T - Variant 3", "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]], "1": [[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 | [
"yes",
"no"
] | |
23_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 2
Step 4: Fold face 6 inwards towards face 1
Step 5: Fold face 1 downwards towards face 6
Based on the above steps... | B | {"initial_net": {"name": "invalid_E", "faces": {"1": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 2.220446049250313e-16]], "6": [[3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "2": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000... | q+steps | [
"yes",
"no"
] | |
569_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 2
Step 5: Fold face 6 upwards towards face 4
Based on ... | B | {"initial_net": {"name": "invalid_F", "faces": {"5": [[3.0, -2.83276944882399e-16, 0.0], [3.0, 0.0, 1.0], [4.0, 0.0, 1.0], [4.0, -2.83276944882399e-16, 0.0]], "4": [[3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 0.0, 1.0]], "3": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [4.0, 1.0, 0.0], [4.0, 1.0, 1.0]], "6": [[3.0,... | q+steps | [
"yes",
"no"
] | |
573_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 5 upwards towards face 3
Step 3: Fold face 4 downwards towards face 3
Step 4: Fold face 2 downwards towards face 3
Step 5: Fold face 1 downwards towards face 4
Based o... | A | {"initial_net": {"name": "Big T - Variant 3", "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+steps | [
"yes",
"no"
] | |
395_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": {"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_only | [
"yes",
"no"
] | |
217_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 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_only | [
"no",
"yes"
] | |
304_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": {"6": [[0.9999999999999999, 1.0, 1.0], [1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 1.0, 1.0]], "4": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "5": [[1.0, 2.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0], [1.0, 2.0, 1.0]], "2":... | q_only | [
"no",
"yes"
] | |
247_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": {"1": [[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]], "2": [[2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0], [3.0, 1.0, 1.0000000000000004]], "3": [[2.0, 2.0, 1.0], [2.0, 2.0, 0.0], [3.0, ... | q_only | [
"no",
"yes"
] | |
415_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 4 downwards
Step 3: Fold face 5 downwards towards face 2
Step 4: Fold face 6 inwards towards face 2
Step 5: Fold face 1 inwards towards face 2
Based on the above steps... | 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 | [
"no",
"yes"
] | |
398_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": {"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_only | [
"yes",
"no"
] | |
307_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": {"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": [[1.0, 2.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0], [1.0, 2.0, 1.0]], "2": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "3": [[1.0, 0.9999999999999999, 1.0], [2.... | q_only | [
"no",
"yes"
] | |
284_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 5 inwards towards face 1
Step 3: Fold face 3 upwards towards face 4
Step 4: Fold face 2 downwards towards face 4
Step 5: Fold face 6 downwards towards face 3
Based on ... | 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+steps | [
"no",
"yes"
] | |
263_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": [[0.9999999999999999, -2.0, 0.9999999999999998], [1.0, -3.0, 1.0000000000000002], [1.0, -3.0000000000000004, 2.220446049250313e-16], [0.9999999999999999, -2.0000000000000004, -2.220446049250313e-16]], "6": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.00000... | q_only | [
"no",
"yes"
] | |
226_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 4 upwards
Step 2: Fold face 1 inwards towards face 2
Step 3: Fold face 3 inwards towards face 2
Step 4: Fold face 6 upwards towards face 3
Step 5: Fold face 5 downwards towards face 3
Based on th... | A | {"initial_net": {"name": "Big T Net", "faces": {"3": [[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]], "4": [[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]], "1"... | q+steps | [
"yes",
"no"
] | |
377_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 upwards towards face 1
Step 3: Fold face 3 downwards towards face 4
Step 4: Fold face 6 downwards towards face 4
Step 5: Fold face 2 inwards towards face 4
Based on ... | A | {"initial_net": {"name": "invalid_E", "faces": {"2": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 1.0, 0.0]], "4": [[3.0, 1.0, 0.0], [4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0]], "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]], "3": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1... | q+steps | [
"no",
"yes"
] | |
126_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 1 downwards
Step 3: Fold face 5 downwards towards face 2
Step 4: Fold face 6 inwards towards face 1
Step 5: Fold face 4 upwards towards face 5
Based on the above steps... | B | {"initial_net": {"name": "Invalid D", "faces": {"4": [[3.0, 3.0, -9.494107596574928e-16], [3.0, 2.0, -6.123233995736766e-17], [4.0, 2.0, 0.0], [4.0, 3.0, 0.0]], "6": [[4.0, 3.0, 0.0], [4.0, 2.0, 0.0], [4.0, 2.0, 1.0], [4.0, 3.0, 1.0]], "5": [[4.0, 2.0, 0.0], [4.0, 2.0, 1.0], [3.0, 2.0, 1.0], [3.0, 2.0, 0.0]], "1": [[4.... | q+steps | [
"yes",
"no"
] | |
466_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 inwards towards face 3
Step 3: Fold face 5 upwards towards face 2
Step 4: Fold face 6 upwards towards face 3
Step 5: Fold face 1 downwards towards face 4
Based on th... | A | {"initial_net": {"name": "Net H: Two rows with bottom row shifted right", "faces": {"1": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "2": [[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]], "4": ... | q+steps | [
"no",
"yes"
] | |
381_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 inwards towards face 3
Step 3: Fold face 5 inwards towards face 3
Step 4: Fold face 6 inwards towards face 2
Step 5: Fold face 1 downwards towards face 4
Based on th... | A | {"initial_net": {"name": "Big T 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": [[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, -6.123233995736766e-17, 1.0],... | q+steps | [
"yes",
"no"
] | |
292_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": {"6": [[3.0, 0.9999999999999998, 1.0], [2.0, 1.0, 1.0], [2.0, 0.9999999999999999, 0.0], [3.0, 0.9999999999999997, 2.220446049250313e-16]], "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]], "2": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "3": [... | q_only | [
"yes",
"no"
] | |
154_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": {"5": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "1": [[-1.232595164407831e-32, 2.0000000000000004, 2.220446049250313e-16], [-6.123233995736766e-17, 1.0000000000000004, 3.3306690738754696e-16], [0.9999999999999998, 1.0000000000000004, 2.718345674301793e-16], [0.99999999... | q_only | [
"yes",
"no"
] | |
144_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": {"3": [[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]], "5": [[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_only | [
"yes",
"no"
] | |
227_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, 3.0, 1.0000000000000002], [2.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0], [0.9999999999999999, 3.0, 1.0]], "2": [[0.9999999999999999, 3.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0], [0.9999999999999999, 3.0, 0.0]], "3": [[1.0, 2.0, 1.0], [1.0, 2.0, 0.0], [2.0, 2... | q_only | [
"yes",
"no"
] | |
419_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 3", "faces": {"4": [[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]], "6": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.00000... | q_only | [
"yes",
"no"
] | |
509_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": {"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_only | [
"no",
"yes"
] | |
341_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 4 upwards
Step 2: Fold face 3 inwards towards face 2
Step 3: Fold face 5 inwards towards face 2
Step 4: Fold face 6 downwards towards face 5
Step 5: Fold face 1 downwards towards face 2
Based on ... | B | {"initial_net": {"name": "1-3-2 Net", "faces": {"2": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "5": [[0.0, 1.0, 0.0], [0.0, 1.0, 1.0], [-2.83276944882399e-16, 0.0, 1.0], [-2.83276944882399e-16, 0.0, 0.0]], "3": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0], [0.0, 1.0, 0.0]], "4": [[1.0, 0.0, 0.0], [1.0, 0.0, 1... | q+steps | [
"no",
"yes"
] | |
264_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 inwards towards face 6
Step 3: Fold face 4 downwards towards face 5
Step 4: Fold face 2 downwards towards face 5
Step 5: Fold face 3 downwards towards face 4
Based o... | B | {"initial_net": {"name": "1-3-2 Net", "faces": {"3": [[2.0, -1.0, 0.9999999999999997], [3.0, -0.9999999999999999, 1.0], [3.0000000000000004, -0.9999999999999998, 0.0], [2.0000000000000004, -0.9999999999999999, -4.440892098500626e-16]], "2": [[3.0, -0.9999999999999999, 1.0], [3.0, 1.224646799147353e-16, 1.0], [3.0000000... | q+steps | [
"no",
"yes"
] | |
283_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 inwards towards face 4
Step 3: Fold face 3 downwards towards face 2
Step 4: Fold face 5 downwards towards face 4
Step 5: Fold face 6 inwards towards face 4
Based on ... | B | {"initial_net": {"name": "1-3-2 Net", "faces": {"4": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "6": [[1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.0, 2.0, 1.0], [0.0, 2.0, 0.0]], "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]], "1": [[0.0, 0.9999999999999999, 0.0], [0.0, 0.9999999999999999, 1.0], [... | q+steps | [
"no",
"yes"
] | |
526_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 4 upwards
Step 2: Fold face 3 downwards
Step 3: Fold face 2 downwards towards face 5
Step 4: Fold face 1 upwards towards face 4
Step 5: Fold face 6 upwards towards face 2
Based on the above steps... | 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 | [
"no",
"yes"
] | |
153_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": {"1": [[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]], "4": [[1.0, 0.9999999999999999, 1.0], [2.... | q_only | [
"no",
"yes"
] | |
85_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 inwards towards face 4
Step 3: Fold face 3 downwards towards face 5
Step 4: Fold face 1 downwards towards face 4
Step 5: Fold face 6 upwards towards face 5
Based on ... | B | {"initial_net": {"name": "2-2 net", "faces": {"6": [[0.0, 3.0, 0.0], [1.0, 3.0, 0.0], [1.0, 3.0, 1.0], [0.0, 3.0, 1.0]], "4": [[0, 2, 0], [1, 2, 0], [1, 3, 0], [0, 3, 0]], "5": [[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]]... | q+steps | [
"no",
"yes"
] | |
320_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": [[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_only | [
"yes",
"no"
] | |
149_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 1 inwards towards face 3
Step 3: Fold face 2 inwards towards face 3
Step 4: Fold face 6 inwards towards face 3
Step 5: Fold face 5 downwards towards face 2
Based on th... | B | {"initial_net": {"name": "Big T - Variant 2", "faces": {"5": [[2.0, -0.9999999999999999, 1.0], [3.0, -0.9999999999999999, 1.0], [3.0, -2.0, 1.0], [2.0, -2.0, 1.0000000000000004]], "6": [[3.0, -0.9999999999999999, 1.0], [3.0, -0.9999999999999999, 0.0], [3.0, -2.0, 0.0], [3.0, -2.0, 1.0]], "3": [[2, -2, 0], [3, -2, 0], [... | q+steps | [
"no",
"yes"
] | |
535_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=4)", "faces": {"4": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "5": [[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]], "1": [[0.0, 1.0, 1.... | q_only | [
"no",
"yes"
] | |
458_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": {"1": [[0, 2, 0], [1, 2, 0], [1, 3, 0], [0, 3, 0]], "2": [[0.0, 2.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0], [0.0, 2.0, 0.0]], "3": [[0.0, 3.0, 1.0000000000000002], [1.0, 3.0, 1.0000000000000002], [1.0, 2.0, 1.0], [0.0, 2.0, 1.0]], "4": [[1.0, 3.0, 1.0000000000000002], [1.0,... | q_only | [
"yes",
"no"
] | |
108_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 inwards towards face 1
Step 5: Fold face 1 inwards towards face 3
Based on the ... | 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]], "3": [[1, 1, 0], [1, 2,... | q+steps | [
"yes",
"no"
] | |
449_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_F", "faces": {"1": [[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]], "3": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "4": [[3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [... | q_only | [
"no",
"yes"
] | |
518_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 4 upwards towards face 2
Step 3: Fold face 3 inwards towards face 5
Step 4: Fold face 1 downwards towards face 4
Step 5: Fold face 6 inwards towards face 5
Based on th... | A | {"initial_net": {"name": "2-2 net", "faces": {"6": [[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]], "4": [[0.9999999999999999, 2.0, 1.0], [1.0, 2.0, 0.0], [1.0, 3.0, 0.0], [0.9999999999999999, 3.0, 1.0]], "5": [[1, 2, 0], [2, 2, 0], [2, 3, 0], [1, 3, 0]], "2": [[1.... | q+steps | [
"yes",
"no"
] | |
375_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": {"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_only | [
"yes",
"no"
] | |
503_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": {"5": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "1": [[0.0, 1.0, 0.0], [0.0, 1.0, 1.0], [-2.83276944882399e-16, 0.0, 1.0], [-2.83276944882399e-16, 0.0, 0.0]], "3": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0], [0.0, 1.0, 0.0]], "4": [[1.0, 0.0, 0.0], [1.0, 0.0, 1... | q_only | [
"no",
"yes"
] | |
101_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 1", "faces": {"5": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [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]], "6": [[0.0, -6.123233995736766e-17, 1.0], [-6.123233995736767e-17, 0.9999999999999999, 1.0000000000000002], [0.9999999999999999, 0.9999999... | q_only | [
"no",
"yes"
] | |
513_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 1 downwards
Step 3: Fold face 2 downwards towards face 6
Step 4: Fold face 5 downwards towards face 6
Step 5: Fold face 3 upwards towards face 6
Based on the above ste... | A | {"initial_net": {"name": "Net H: Two rows with bottom row shifted right", "faces": {"6": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "4": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "1": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "3": ... | q+steps | [
"no",
"yes"
] | |
100_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": {"1": [[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]], "4": [[-2.83276944882399e-16, 3.0, 0.0], [-2.83276944882399e-16, 3.0, 1... | q_only | [
"yes",
"no"
] | |
314_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=4)", "faces": {"3": [[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]], "6": [[5.0, 1.0, 0.0], [5.0, 1.0, 1.0], [5.0, 2.0, 1.0], [5.0, 2.0, 0.0]], "2": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,... | q_only | [
"no",
"yes"
] | |
513_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": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "4": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "1": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "3": ... | q_only | [
"yes",
"no"
] | |
107_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 towards face 5
Step 3: Fold face 4 upwards towards face 1
Step 4: Fold face 3 downwards towards face 4
Step 5: Fold face 2 downwards towards face 4
Based on ... | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"4": [[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]], "5": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0]], "3": [[2.0, 1.0, 1.... | q+steps | [
"no",
"yes"
] | |
547_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 1 inwards towards face 6
Step 3: Fold face 3 downwards towards face 1
Step 4: Fold face 4 downwards towards face 6
Step 5: Fold face 5 inwards towards face 1
Based on ... | 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]], "6": [[1, 2, 0], [2, 2, 0], [2, 3, 0], [1, 3, 0]], "2": [[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 | [
"no",
"yes"
] | |
192_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_G", "faces": {"6": [[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 | [
"no",
"yes"
] | |
272_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 2 upwards towards face 5
Step 3: Fold face 4 downwards towards face 5
Step 4: Fold face 3 downwards towards face 1
Step 5: Fold face 6 downwards towards face 3
Based o... | B | {"initial_net": {"name": "t-shaped Net Variant 2", "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": [[3.0000000000000004, 0.0, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0000000000000004, 1.0, 2.220446... | q+steps | [
"no",
"yes"
] | |
99_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": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "6": [[1.0, 1.0, 0.0], [1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0]], "2": [[1.0, 0.0, 0.0], [0.0, -2.83276944882399e-16, 0.0], [0.0, -2.83276944882399e-16, 1.0], [1.0, 0... | q_only | [
"no",
"yes"
] | |
236_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 1 upwards
Step 3: Fold face 4 downwards towards face 1
Step 4: Fold face 6 downwards towards face 4
Step 5: Fold face 2 downwards towards face 4
Based on the above ste... | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=4)", "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]], "5": [[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]], "1": [[3.0, 1.0, 0.... | q+steps | [
"no",
"yes"
] | |
261_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 4 inwards towards face 5
Step 3: Fold face 3 upwards towards face 4
Step 4: Fold face 1 inwards towards face 5
Step 5: Fold face 6 downwards towards face 1
Based on th... | A | {"initial_net": {"name": "Big T - Variant 2", "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]], "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"
] | |
394_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 6 downwards
Step 3: Fold face 3 downwards towards face 4
Step 4: Fold face 2 downwards towards face 6
Step 5: Fold face 5 upwards towards face 6
Based on the above ste... | A | {"initial_net": {"name": "3-3 Net", "faces": {"5": [[2.0, -2.0000000000000004, -1.1102230246251565e-16], [2.0, -2.0000000000000004, 0.9999999999999999], [2.0, -1.0000000000000004, 0.9999999999999998], [2.0, -1.0000000000000004, -1.1102230246251565e-16]], "2": [[0.9999999999999999, -2.0, 0.0], [1.0, -2.0, 1.0], [2.0, -2... | q+steps | [
"yes",
"no"
] | |
135_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 3", "faces": {"6": [[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]], "1": [[0.9999999999999999, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.0, 0.0, 1.0000000000000002], [-1.1102230246251565e-16, 0.99999999... | q_only | [
"yes",
"no"
] | |
303_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": {"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_only | [
"yes",
"no"
] | |
456_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": {"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]], "6": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "4": [[0.0, 0.0, 1.00000000000000... | q_only | [
"no",
"yes"
] | |
469_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": {"5": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 2.220446049250313e-16]], "1": [[3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "4": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000... | q_only | [
"yes",
"no"
] | |
342_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 2
Step 4: Fold face 4 inwards towards face 5
Step 5: Fold face 3 inwards towards face 5
Based on the above steps... | A | {"initial_net": {"name": "Net H: Two rows with bottom row shifted right", "faces": {"4": [[4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0], [4.0, 0.0, 0.0]], "1": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [4.0, 1.0, 0.0]], "3": [[3.0, 1.0, 1.0], [3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0]], "5": [[4.0,... | q+steps | [
"no",
"yes"
] | |
341_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": {"2": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "5": [[0.0, 1.0, 0.0], [0.0, 1.0, 1.0], [-2.83276944882399e-16, 0.0, 1.0], [-2.83276944882399e-16, 0.0, 0.0]], "3": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0], [0.0, 1.0, 0.0]], "4": [[1.0, 0.0, 0.0], [1.0, 0.0, 1... | q_only | [
"yes",
"no"
] | |
156_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": "2-2 net", "faces": {"3": [[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]], "1": [[2.0000000000000004, -2.83276944882399e-16, 0.0], [2.0, 0.0, 1.0], [3.0, 0.0, 1.000000000000... | q_only | [
"yes",
"no"
] | |
27_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": {"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_only | [
"no",
"yes"
] | |
2_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 downwards
Step 3: Fold face 4 upwards towards face 5
Step 4: Fold face 3 downwards towards face 4
Step 5: Fold face 6 inwards towards face 1
Based on the above steps... | A | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"4": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "1": [[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"
] | |
563_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": {"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]], "2": [[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,... | q_only | [
"no",
"yes"
] | |
282_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 6 inwards towards face 2
Step 3: Fold face 4 downwards towards face 6
Step 4: Fold face 5 downwards towards face 2
Step 5: Fold face 1 downwards towards face 3
Based o... | A | {"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 | [
"yes",
"no"
] | |
228_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 1 downwards
Step 3: Fold face 2 inwards towards face 3
Step 4: Fold face 6 inwards towards face 3
Step 5: Fold face 5 inwards towards face 3
Based on the above steps, ... | A | {"initial_net": {"name": "Big T Net", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [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]], "1": [[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, -6.123233995736766e-17, 0.0],... | q+steps | [
"yes",
"no"
] | |
260_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": {"4": [[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]], "5": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "3": [[0.0, 1.0, 1.... | q_only | [
"no",
"yes"
] | |
37_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": {"1": [[2.0, 0.0, 1.0000000000000002], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 0.0, 1.0000000000000002]], "4": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0000000000000004, 0.0, 0.0], [3.0000000000000004, 0.0, 1.0]], "5": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 0.0], [3.0,... | q_only | [
"no",
"yes"
] | |
250_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 4 upwards
Step 2: Fold face 3 downwards
Step 3: Fold face 2 downwards towards face 5
Step 4: Fold face 6 downwards towards face 2
Step 5: Fold face 1 downwards towards face 2
Based on the above s... | B | {"initial_net": {"name": "t-shaped Net", "faces": {"3": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "1": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 2.220446049250313e-16]], "2": [[3.0000000000000004, 0.0, 2.220446049250313e-16], ... | q+steps | [
"no",
"yes"
] | |
69_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]], "2": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "3": [[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"
] | |
55_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": {"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": [[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]], "1": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], ... | q_only | [
"no",
"yes"
] | |
311_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": [[0.9999999999999999, 1.0, 1.0], [1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 1.0, 1.0]], "4": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1.0, 2.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0], [1.0, 2.0, 1.0]], "2":... | q_only | [
"no",
"yes"
] | |
297_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 2 upwards towards face 5
Step 3: Fold face 3 inwards towards face 1
Step 4: Fold face 6 upwards towards face 5
Step 5: Fold face 4 downwards towards face 2
Based on th... | B | {"initial_net": {"name": "invalid_F", "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]], "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]], "1": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "2": [[3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [... | q+steps | [
"yes",
"no"
] | |
546_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 5 downwards
Step 3: Fold face 4 downwards towards face 3
Step 4: Fold face 6 upwards towards face 4
Step 5: Fold face 2 inwards towards face 4
Based on the above steps... | B | {"initial_net": {"name": "invalid_E", "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]], "4": [[2.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, 0.0]], "6": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999... | q+steps | [
"yes",
"no"
] | |
60_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 4 upwards towards face 5
Step 3: Fold face 6 downwards towards face 4
Step 4: Fold face 1 downwards towards face 3
Step 5: Fold face 2 upwards towards face 3
Based on ... | B | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"3": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "6": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "1": [[0.0, 1.0, 1.... | q+steps | [
"yes",
"no"
] | |
390_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 3", "faces": {"1": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "2": [[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": [[0.9999999999999999, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.0, 0.0, 1.0000000000000002], [-1.1102230246251565e-16, 0.99999999... | q_only | [
"yes",
"no"
] | |
291_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": {"3": [[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]], "5": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.00000... | q_only | [
"yes",
"no"
] | |
328_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 5 downwards towards face 4
Step 4: Fold face 3 upwards towards face 1
Step 5: Fold face 6 upwards towards face 3
Based on the above steps... | A | {"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"4": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[-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]], "2": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "1": [[1.0, 0.0, 1.0... | q+steps | [
"yes",
"no"
] | |
51_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 4 upwards
Step 3: Fold face 3 upwards towards face 4
Step 4: Fold face 2 downwards towards face 4
Step 5: Fold face 5 downwards towards face 4
Based on the above steps... | B | {"initial_net": {"name": "Big T Net", "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]], "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]], "3": [[1.0, -6.123233995736766e-17, 1.0],... | q+steps | [
"no",
"yes"
] | |
224_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 6 upwards
Step 3: Fold face 4 downwards towards face 1
Step 4: Fold face 2 downwards towards face 1
Step 5: Fold face 5 upwards towards face 1
Based on the above steps... | 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+steps | [
"yes",
"no"
] | |
524_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": [[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], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "4": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0]], "3": [[2.0, 1.0, 1.... | q_only | [
"no",
"yes"
] | |
225_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": {"3": [[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]], "2": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,... | q_only | [
"yes",
"no"
] |
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