/
surface_intersections.json
1112 lines (1112 loc) · 32.4 KB
/
surface_intersections.json
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[
{
"surface1": "1Q",
"surface2": "3Q",
"id": 1,
"intersections": [
{
"nodes": [
[1, 0],
["0x1.b3814fc520094p-2", "0x1.951b989d86b44p-1"],
["0x1.e3902ffacd381p-4", "0x1.875633d1f12bep-2"],
[0, 0]
],
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],
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],
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1
],
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[-128, 88, 63, 49],
[-1, 1],
[-1, 1]
],
"edge_list": [1, 5, 2, 3]
}
]
}, {
"surface1": "1L",
"surface2": "3L",
"id": 2,
"intersections": [
{
"nodes": [
["1/4", 0],
[1, 0],
["1/4", "3/4"]
],
"start_params": [
"1/4",
0,
"1/8"
],
"end_params": [
1,
"3/4",
"7/8"
],
"edge_list": [0, 1, 5]
}
]
}, {
"surface1": "1Q",
"surface2": "2Q",
"id": 3,
"intersections": [
{
"nodes": [
["0x1.0720ad954785ap-1", "-0x1.ff9a64abf6237p-4"],
["0x1.9b36174dc0245p-1", "-0x1.43cae8b404cfdp-4"],
["0x1.ae14d9f3b87dap-1", "0x1.665c7eaaac924p-2"],
["0x1.665c7eaaac924p-2", "0x1.ae14d9f3b87dap-1"],
["0x1.1ecd1d985d392p-4", "0x1.a9c7d37bb78c1p-1"],
["0x1.68a193f04e2b7p-4", "0x1.d33874bafeb64p-3"]
],
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],
"start_param_polys": [
[10, -21, 3],
[20, -116, -3, -18, 9],
[23, -100, 56, -72, 12],
[64, -160, 25, -66, 9],
[23, -140, 24, -24, 12],
[-44, 36, 181, -66, 9]
],
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],
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[-105, 140, 0, -24, 12],
[-128, 272, -119, 30, 9],
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[84, -116, -3, -18, 9],
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[-38, 39, 9]
],
"edge_list": [0, 4, 1, 5, 2, 3]
}
]
}, {
"surface1": "10Q",
"surface2": "18Q",
"id": 4,
"intersections": [
{
"nodes": [
["1/2", "-3/4"],
["3/4", "3/32"],
[0, 0]
],
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0
],
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1,
1
],
"edge_list": [5, 0, 1]
}
]
}, {
"surface1": "10Q",
"surface2": "19Q",
"id": 5,
"note": "These surfaces do not intersect. However, they share an entire edge (edge 1 of 10Q and edge 2 of 19Q).",
"intersections": []
}, {
"surface1": "3Q",
"surface2": "4Q",
"id": 6,
"intersections": [
{
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["0x1.d5f30c47e44bbp-5", "0x1.c8a052e8c3322p-3"],
[1, "1/4"]
],
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"0x1.d5f30c47e44bbp-5",
0
],
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[169, -2988, 712, 360, 100],
[0, 1]
],
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1,
"0x1.6a47b0e78a05ep-1"
],
"end_param_polys": [
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[-1, 1],
[-26352, 37200, 412, -532, 49]
],
"edge_list": [2, 3, 4]
}
]
}, {
"surface1": "1Q",
"surface2": "5L",
"id": 7,
"intersections": [
{
"nodes": [
["1/8", "1/2"],
[0, 0],
[1, 0],
["0x1.78dde6e5fd29fp-1", "1/2"]
],
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0,
0,
"0x1.d1f49bd925a6ep-2"
],
"start_param_polys": [
[-1, 2],
[0, 1],
[0, 1],
[1049, -3108, 1764]
],
"end_params": [
1,
1,
"0x1.8722191a02d61p-2",
"4/7"
],
"end_param_polys": [
[-1, 1],
[-1, 1],
[1, -3, 1],
[-4, 7]
],
"edge_list": [2, 0, 1, 4]
}
]
}, {
"surface1": "3Q",
"surface2": "5Q",
"id": 8,
"intersections": [
{
"nodes": [
["0x1.5ffbf1646a43ep-1", "0x1.df044f8131ab6p-1"],
["0x1.295cb92910465p-1", "0x1.c7a0bfd320f74p-1"],
["1/4", "3/32"],
["9/8", "3/8"]
],
"start_params": [
"0x1.ac579d93b5440p-3",
"0x1.e2f091e94f79dp-4",
0,
0
],
"start_param_polys": [
[57, -302, 167, -130, 25],
[11664, -105840, 58908, -2340, 25],
[0, 1],
[0, 1]
],
"end_params": [
"0x1.296332cad18aap-2",
1,
1,
"0x1.c0081d372b785p-1"
],
"end_param_polys": [
[279, -1212, 901, -130, 25],
[-1, 1],
[-1, 1],
[-6012, 7800, -1064, -20, 25]
],
"edge_list": [2, 5, 3, 4]
}
]
}, {
"surface1": "1L",
"surface2": "2L",
"id": 9,
"intersections": [
{
"nodes": [
["2/3", "1/3"],
["9/16", "7/16"],
["1/8", "3/8"],
[0, "5/32"],
[0, 0]
],
"start_params": [
"1/3",
"1/2",
0,
"27/32",
"1/9"
],
"end_params": [
"7/16",
1,
"1/2",
1,
"19/27"
],
"edge_list": [1, 4, 5, 2, 3]
}
]
}, {
"surface1": "20Q",
"surface2": "21Q",
"id": 10,
"intersections": [
{
"nodes": [
[1, 0],
[0, 1],
["-1/2", "1/2"],
["-1/2", "1/4"]
],
"start_params": [
0,
0,
"4/5",
0
],
"end_params": [
1,
"1/2",
1,
1
],
"edge_list": [0, 1, 4, 5]
}
]
}, {
"surface1": "4L",
"surface2": "22Q",
"id": 11,
"intersections": [
true
]
}, {
"surface1": "4L",
"surface2": "23Q",
"id": 12,
"intersections": [
false
]
}, {
"surface1": "6Q",
"surface2": "7Q",
"id": 13,
"intersections": [
{
"nodes": [
["0x1.f72c3be04b4ecp-4", "0x1.93dc7947568edp-4"],
["0x1.4992c2bb413cdp-2", "0x1.6a2c9c8740ffbp-3"],
["0x1.19b38124cf430p-3", "0x1.19b38124cf430p-2"],
["3/34", "3/17"]
],
"start_params": [
"0x1.3ee5877c0969ep-3",
"0x1.7493d4d9eb51ap-1",
"0x1.73263f6d985e8p-1",
"3/17"
],
"start_param_polys": [
[2, -13, 1],
[369, -1548, 1504, -104, 4],
[-871, 784, 576],
[-3, 17]
],
"end_params": [
"0x1.85ef877c76bcdp-2",
"0x1.c65caf923246ep-1",
"14/17",
"0x1.f72c3be04b4ecp-3"
],
"end_param_polys": [
[489, -1908, 1592, 120, 4],
[-13, 4, 12],
[-14, 17],
[25, -102, 1]
],
"edge_list": [0, 3, 2, 4]
}, {
"nodes": [
["0x1.636735920066ep-1", "0x1.260ab6afe06ccp-3"],
["0x1.bb55a2b2a6aa8p-1", "0x1.2c05708fb7fcdp-4"],
["31/34", "3/17"],
["0x1.c17e2caa2b536p-1", "0x1.f40e9aaea564dp-3"]
],
"start_params": [
"0x1.7be81a20a86ffp-1",
"0x1.76ab45654d550p-1",
"3/17",
"0x1.3d03a6aba9593p-3"
],
"start_param_polys": [
[489, -1908, 1592, 120, 4],
[-76, 68, 49],
[-3, 17],
[3, -20, 4]
],
"end_params": [
"0x1.c7d5dcb8a3aa6p-1",
"14/17",
"0x1.f40e9aaea564dp-3",
"0x1.74703e060324bp-2"
],
"end_param_polys": [
[-10, 5, 7],
[-14, 17],
[297, -1232, 64],
[369, -1548, 1504, -104, 4]
],
"edge_list": [0, 5, 1, 3]
}
]
}, {
"surface1": "8Q",
"surface2": "9Q",
"id": 14,
"intersections": [
{
"nodes": [
["5/4", "0x1.59f10d0c73266p-2"],
["55/28", "39/28"],
["5/4", "0x1.e05f2a73bea42p+0"],
["15/28", "39/28"]
],
"start_params": [
"0x1.67c43431cc998p-5",
"1/14",
"0x1.a05f2a73bea42p-1",
"11/14"
],
"start_param_polys": [
[1, -24, 28],
[-1, 14],
[1, -24, 28],
[-11, 14]
],
"end_params": [
"3/14",
"0x1.7e835631056f8p-3",
"13/14",
"0x1.e983bcbce3366p-1"
],
"end_param_polys": [
[-3, 14],
[5, -32, 28],
[-13, 14],
[5, -32, 28]
],
"edge_list": [1, 5, 1, 5]
}
]
}, {
"surface1": "4Q",
"surface2": "10Q",
"id": 15,
"note": "These surfaces do not intersect. However, they are tangent at the point SURFACE4Q(1/2, 0) = [1/2, 1/8] = SURFACE10Q(1/2, 0).",
"intersections": []
}, {
"surface1": "11Q",
"surface2": "12Q",
"id": 16,
"intersections": [
{
"nodes": [
["0x1.2bec333018867p-3", "1/8"],
["0x1.b504f333f9de6p-1", "1/8"]
],
"start_params": [
"0x1.2bec333018867p-3",
"0x1.2bec333018867p-3"
],
"start_param_polys": [
[1, -8, 8],
[1, -8, 8]
],
"end_params": [
"0x1.b504f333f9de6p-1",
"0x1.b504f333f9de6p-1"
],
"end_param_polys": [
[1, -8, 8],
[1, -8, 8]
],
"edge_list": [0, 3]
}
]
}, {
"surface1": "3Q",
"surface2": "13Q",
"id": 17,
"intersections": [
false
]
}, {
"surface1": "10Q",
"surface2": "17Q",
"id": 18,
"intersections": [
false
]
}, {
"surface1": "17Q",
"surface2": "10Q",
"id": 19,
"note": "This is identical to intersection ID 18 (10Q-17Q), but now the ``first'' surface is the one that is fully interior at the double corner.",
"intersections": [
true
]
}, {
"surface1": "3Q",
"surface2": "14Q",
"id": 20,
"intersections": [
false
]
}, {
"surface1": "15Q",
"surface2": "16Q",
"id": 21,
"intersections": [
{
"nodes": [
["1/2", "7/16"],
["0x1.37d86bafd5e87p-1", "0x1.10dd5e39db2b6p-1"],
["1/2", 1],
["0x1.904f28a0542f3p-2", "0x1.10dd5e39db2b6p-1"]
],
"start_params": [
"1/4",
"0x1.10dd5e39db2b6p-2",
"1/2",
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],
"start_param_polys": [
[-1, 4],
[7, -30, 14],
[-1, 2],
[-39, 22, 49]
],
"end_params": [
"0x1.37d86bafd5e87p-2",
"1/2",
"0x1.779150e3126a5p-1",
"3/4"
],
"end_param_polys": [
[32, -120, 49],
[-1, 2],
[-9, 2, 14],
[-3, 4]
],
"edge_list": [0, 3, 2, 5]
}, {
"nodes": [
["0x1.b05acb6e1c062p-4", "0x1.e360b596dc381p+0"],
["1/2", 1],
["0x1.c9f4a6923c7f4p-1", "0x1.e360b596dc381p+0"],
["1/2", "31/16"]
],
"start_params": [
"0x1.c9f4a6923c7f4p-5",
"1/2",
"0x1.1b05acb6e1c06p-1",
"1/4"
],
"start_param_polys": [
[1, -18, 2],
[-1, 2],
[-39, 70, 1],
[-1, 4]
],
"end_params": [
"1/2",
"0x1.e360b596dc381p-1",
"3/4",
"0x1.c9f4a6923c7f4p-2"
],
"end_param_polys": [
[-1, 2],
[-15, 14, 2],
[-3, 4],
[32, -72, 1]
],
"edge_list": [2, 3, 1, 4]
}
]
}, {
"surface1": "24Q",
"surface2": "25Q",
"id": 22,
"intersections": [
{
"nodes": [
["3/4", "25/32"],
["0x1.5267a7a7d12d4p-1", "0x1.965e0549ceeecp-1"],
["21/64", "5/8"],
["0x1.48df9c2f89f03p-2", "0x1.2d0629ebf87bfp-1"]
],
"start_params": [
0,
"0x1.f23e5cccfe6acp-2",
0,
"0x1.049db87a7335dp-1"
],
"start_param_polys": [
[0, 1],
[2256, -10224, 12020, -1116, 27],
[0, 1],
[-153359, -9692, 618410, -14740, 121]
],
"end_params": [
"0x1.74f45d5da8f1cp-2",
1,
"0x1.86d5b7ca33b66p-4",
1
],
"end_param_polys": [
[1036, -1168, -4640, 72, 81],
[-1, 1],
[-31348, 315936, 132116, -1232, 11],
[-1, 1]
],
"edge_list": [0, 3, 4, 2]
}
]
}, {
"surface1": "1L",
"surface2": "6L",
"id": 23,
"intersections": [
{
"nodes": [
[0, 0],
["1/4", 0],
["1/4", "1/4"],
[0, "1/4"]
],
"start_params": [
0,
"3/4",
0,
"3/4"
],
"end_params": [
"1/4",
1,
"1/4",
1
],
"edge_list": [0, 5, 3, 2]
}
]
}, {
"surface1": "26Q",
"surface2": "27Q",
"id": 24,
"note": "These surfaces do not intersect.",
"intersections": []
}, {
"surface1": "1L",
"surface2": "28Q",
"id": 25,
"intersections": [
{
"nodes": [
["3/16", 0],
[1, 0],
["0x1.3030daa2f5896p-1", "0x1.9f9e4aba14ed4p-2"]
],
"start_params": [
"3/16",
0,
"0x1.3030daa2f5896p-1"
],
"start_param_polys": [
[-3, 16],
[0, 1],
[22, -40, 5]
],
"end_params": [
1,
"0x1.9f9e4aba14ed4p-2",
1
],
"end_param_polys": [
[-1, 1],
[-13, 30, 5],
[-1, 1]
],
"edge_list": [0, 1, 4]
}
]
}, {
"surface1": "1L",
"surface2": "29Q",
"id": 26,
"intersections": [
{
"nodes": [
[0, 0],
[1, 0],
["0x1.e2463000f8560p-1", "0x1.db9cfff07aa02p-5"],
["0x1.db9cfff07aa02p-5", "0x1.e2463000f8560p-1"],
[0, 1]
],
"start_params": [
0,
0,
"0x1.2bec333018867p-3",
"0x1.e2463000f8560p-1",
0
],
"start_param_polys": [
[0, 1],
[0, 1],
[1, -8, 8],
[7, -128, 128],
[0, 1]
],
"end_params": [
1,
"0x1.db9cfff07aa02p-5",
"0x1.b504f333f9de6p-1",
1,
1
],
"end_param_polys": [
[-1, 1],
[7, -128, 128],
[1, -8, 8],
[-1, 1],
[-1, 1]
],
"edge_list": [0, 1, 4, 1, 2]
}
]
}, {
"surface1": "30Q",
"surface2": "31Q",
"id": 27,
"intersections": [
{
"nodes": [
["-3/64", "-1/4"],
["5/8", "-1/4"],
["3/8", 0],
["-1/8", 0]
],
"start_params": [
"13/56",
0,
"5/9",
0
],
"end_params": [
1,
"2/7",
1,
"1/4"
],
"edge_list": [0, 1, 4, 5]
}
]
}, {
"surface1": "1L",
"surface2": "7L",
"id": 28,
"note": "These surfaces do not intersect. However, one corner of of 7L (SURFACE7L(0, 0) = [0, 1/2] = SURFACE1L(0, 1/2)) lies on edge 2 of surface 1L.",
"intersections": []
}, {
"surface1": "8L",
"surface2": "29Q",
"id": 29,
"note": "These surfaces do not intersect. However, two corners of 8L lie on edge 1: SURFACE8L(1, 0) = [3/4, 1/8] = SURFACE29Q(3/4, 1/4) and SURFACE8L(0, 0) = [1/8, 3/4] = SURFACE29Q(1/4, 3/4).",
"intersections": []
}, {
"surface1": "1L",
"surface2": "9L",
"id": 30,
"intersections": [
false
]
}, {
"surface1": "1L",
"surface2": "10L",
"id": 31,
"note": "These surfaces do not intersect. However, they ``kiss'' at a corner of each: SURFACE1L(0, 0) = [0, 0] = SURFACE10L(0, 0).",
"intersections": []
}, {
"surface1": "11L",
"surface2": "33Q",
"id": 32,
"intersections": [
{
"nodes": [
["71/32", "383/128"],
["17/8", "23/8"],
["1137/512", "23/8"],
["285/128", 3]
],
"start_params": [
"1/4",
"0x1.983e62b67adeep-3",
0,
0
],
"start_param_polys": [
[-1, 4],
[-12, 60, 1],
[0, 1],
[0, 1]
],
"end_params": [
1,
1,
1,
"1/16"
],
"edge_list": [0, 4, 5, 3]
}
]
}, {
"surface1": "32Q",
"surface2": "33Q",
"id": 33,
"note": "This is the same as intersection 32, but surface 32Q is a degree-elevated version of surface 11L.",
"intersections": [
{
"nodes": [
["71/32", "383/128"],
["17/8", "23/8"],
["1137/512", "23/8"],
["285/128", 3]
],
"start_params": [
"1/4",
"0x1.983e62b67adeep-3",
0,
0
],
"start_param_polys": [
[-1, 4],
[-12, 60, 1],
[0, 1],
[0, 1]
],
"end_params": [
1,
1,
1,
"1/16"
],
"edge_list": [0, 4, 5, 3]
}
]
}, {
"surface1": "6Q",
"surface2": "34Q",
"id": 34,
"note": "This is almost identical to intersection ID 13 (6Q-7Q), but the 34Q has an edge that goes **outside** of 6Q instead. This way, one of the two curved polygons has 3 sides and the other has 4. (In intersection ID 13, both curved polygons have 4 sides.)",
"intersections": [
{
"nodes": [
[0, 0],
["0x1.4992c2bb413cdp-2", "0x1.6a2c9c8740ffbp-3"],
["0x1.19b38124cf430p-3", "0x1.19b38124cf430p-2"]
],
"start_params": [
0,
"0x1.7493d4d9eb51ap-1",
"0x1.73263f6d985e8p-1"
],
"start_param_polys": [
[0, 1],
[369, -1548, 1504, -104, 4],
[-871, 784, 576]
],
"end_params": [
"0x1.85ef877c76bcdp-2",
"0x1.c65caf923246ep-1",
1
],
"end_param_polys": [
[489, -1908, 1592, 120, 4],
[-13, 4, 12],
[-1, 1]
],
"edge_list": [0, 3, 2]
}, {
"nodes": [
["0x1.636735920066ep-1", "0x1.260ab6afe06ccp-3"],
["0x1.bb55a2b2a6aa8p-1", "0x1.2c05708fb7fcdp-4"],
["31/34", "3/17"],
["0x1.c17e2caa2b536p-1", "0x1.f40e9aaea564dp-3"]
],
"start_params": [
"0x1.7be81a20a86ffp-1",
"0x1.76ab45654d550p-1",
"3/17",
"0x1.3d03a6aba9593p-3"
],
"start_param_polys": [
[489, -1908, 1592, 120, 4],
[-76, 68, 49],
[-3, 17],
[3, -20, 4]
],
"end_params": [
"0x1.c7d5dcb8a3aa6p-1",
"14/17",
"0x1.f40e9aaea564dp-3",
"0x1.74703e060324bp-2"
],
"end_param_polys": [
[-10, 5, 7],
[-14, 17],
[297, -1232, 64],
[369, -1548, 1504, -104, 4]
],
"edge_list": [0, 5, 1, 3]
}
]
}, {
"surface1": "9L",
"surface2": "1L",
"id": 35,
"note": "This is identical to intersection ID 30 (1L-9L), but now the ``first'' surface is the one that is fully interior at the double corner.",
"intersections": [
true
]
}, {
"surface1": "1C",
"surface2": "12L",
"id": 36,
"intersections": [
{
"nodes": [
["0x1.6fb2cdd096c8fp-1", "0x1.adf659ba12d92p+0"],
[6, 3],
["0x1.6904d322f6937p+3", "0x1.148269917b49cp+2"],
[12, 6],
["28/3", "26/3"],
[0, "131/10"],
[0, "3/2"]
],
"start_params": [
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"1/2",
"0x1.d9d8b51bff3b3p-1",
0,
"1/3",
"49/180",
"1/5"
],
"start_param_polys": [
[2, -29, 29],
[-1, 2],
[2, -29, 29],
[0, 1],
[-1, 3],
[-49, 180],
[-1, 5]
],
"end_params": [
"1/2",
"0x1.87370f4f2ba92p-1",
1,
"2/9",
"4/5",
"11/12",
"0x1.e323c2c3515b6p-3"
],
"end_param_polys": [
[-1, 2],
[17585, -97556, 97556],
[-1, 1],
[-2, 9],
[-4, 5],
[-11, 12],
[17585, -97556, 97556]
],
"edge_list": [0, 3, 0, 1, 4, 2, 3]
}
]
}, {
"surface1": "13Q",
"surface2": "35Q",
"id": 37,
"intersections": [
true
]
}, {
"surface1": "36Q",
"surface2": "37Q",
"id": 38,
"intersections": [
{
"nodes": [
[0, 0],
["1/2", "-1/8"],
[1, 0],
["1/2", "16/49"]
],
"start_params": [
0,
"7/8",
0,
"6/7"
],
"start_param_polys": [
[0, 1],
[-7, 8],
[0, 1],
[-6, 7]
],