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mightyscape-1.1-deprecated/extensions/fablabchemnitz/polyhedra/polyhedrondata.py
2021-07-23 02:36:56 +02:00

1430 lines
97 KiB
Python

#!/usr/bin/env python3
# Copyright (C) 2010 Jonathan Manton (jmanton @ illinois.edu)
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program; if not, write to the Free Software
# Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
# net data produced with Mathematica using the notebook at https://github.com/vmario89/fablab-polyhedra/tree/master/autonets
# angle overrides manually produced, with help from debugging mode on net generation that also outputs the vertex number of the outer edges of the nets.
angleOverride = {\
'SnubCube' : {'prev' : {19 : 24., 38 : 24.}, 'next' : {16 : 24., 35 : 24.}}, \
'SnubDodecahedron' : {'prev' : {10 : 24., 17 : 24., 21 : 24. , 28 : 24., 32: 24., 39: 24. , 43 : 24., 50 : 24., 54 : 24., 69 : 24., 76 : 24., 80 : 24., 87 : 24., 91 : 24., 98 : 24., 102 : 24., 109 : 24., 113 : 24.}, \
'next' : {7 : 24., 14 : 24., 18 : 24., 25 : 24. , 29 : 24., 36 : 24. , 40 : 24., 47 : 24., 51 : 24., 66 : 24., 73 : 24., 77 : 24., 84 : 24., 88 : 24., 95 : 24., 99 : 24., 106 : 24., 110 : 24.}},\
'GreatRhombicosidodecahedron' : {'prev' : {16: 18., 25: 18., 46: 18., 55: 18., 68: 18., 77: 18., 90: 18., 99: 18., 112: 18., 136: 18., 145: 18., 166: 18., 175: 18., 188: 18., 197: 18., 210: 18., 219: 18., 232: 18. }, \
'next' : {13 : 18., 22: 18., 43: 18., 52: 18., 65: 18., 74: 18., 87: 18., 96: 18., 109: 18., 133: 18., 142: 18., 163: 18., 172: 18., 185: 18., 194: 18., 207: 18., 216: 18., 229: 18.}}, \
'SmallRhombicosidodecahedron' : {'prev' : {10 : 24., 11 : 24., 24 : 24., 25 : 24., 35 : 24., 36 : 24., 46 : 24., 47: 24., 59 : 24., 73: 24., 74: 24., 84: 24., 85: 24., 95: 24., 96: 24., 106: 24., 107: 24. }, \
'next' : {6: 24. , 7 : 24., 20 : 24. , 21 : 24., 31 : 24., 32 : 24., 42 : 24., 43 : 24., 56 : 24., 69 : 24., 70: 24., 80: 24., 81: 24., 91:24., 92: 24., 102: 24., 103: 24. }}, \
'TruncatedIcosahedron' : {'prev' : {8 : 24., 12 : 24., 22: 24., 26: 24., 33: 24., 37: 24., 44: 24., 48: 24., 55: 24., 67: 24., 71: 24., 78: 24., 82: 24., 89: 24., 93: 24., 100: 24., 104: 24., 114: 24.}, \
'next' : {5 : 24., 9 : 24., 19: 24., 23: 24., 30: 24., 34: 24., 41: 24., 45: 24., 52: 24., 64: 24., 68: 24., 75: 24., 79: 24., 86: 24., 90: 24., 97: 24., 101: 24., 111: 24. }}, \
'DeltoidalHexecontahedron' : {'prev' : {6: 24., 44: 24., 56: 24., 68: 24., 80: 24., 92: 24., 104: 24., 116: 24.}, \
'next' : {3: 24., 41: 24., 53: 24., 65: 24., 77: 24., 89: 24., 101: 24., 113: 24.}}, \
'PentagonalIcositetrahedron' : {'prev' : {16: 24., 22: 24.}, \
'next' : {13: 24., 19: 24.}}, \
'PentagonalHexecontahedron' : {'prev' : {10: 12., 28: 12., 65: 12., 83: 12., 101: 12., 119: 12., 156: 12., 174: 12.}, \
'next' : {7: 12., 25: 12., 62: 12., 80: 12., 98: 12., 116: 12., 153: 12., 171: 12.}}, \
'PentakisDodecahedron' : {'prev' : {4: 18., 25: 18., 31: 18., 37: 18., 43: 18., 48: 18., 54: 18., 60: 18.}, \
'next' : {1: 18., 22: 18., 28: 18., 34: 18., 40: 18., 45: 18., 51: 18., 57: 18. }} \
}
polyhedronData = \
{'Cube' : {'edgeCoordinates' : [[0., 1.], [0., 2.], [1., 0.], [1., \
1.], [1., 2.], [1., 3.], [2., 0.], [2., 1.], [2., 2.], [2., 3.], [3., \
1.], [3., 2.], [4., 1.], [4., 2.]], 'outsideEdgeIndices' : [[1, 2], \
[2, 5], [5, 6], [6, 10], [10, 9], [9, 12], [12, 14], [14, 13], [13, \
11], [11, 8], [8, 7], [7, 3], [3, 4], [4, 1]], 'outsideEdgeDegrees' : \
[90., 0., 90., 0., -90., 0., 0., -90., 180., 180., -90., 180., 90., \
180.], 'insideEdgeIndices' : [[4, 5], [4, 8], [5, 9], [8, 9], [11, \
12]]}, 'Dodecahedron' : {'edgeCoordinates' : [[2.11803, 0.], \
[4.73607, 0.], [5.73607, 0.], [6.3541, 0.], [7.3541, 0.], [1.30902, \
0.587785], [2.92705, 0.587785], [0.809017, 0.951057], [3.42705, \
0.951057], [4.42705, 0.951057], [6.04508, 0.951057], [7.66312, \
0.951057], [0., 1.53884], [1.61803, 1.53884], [2.61803, 1.53884], \
[4.23607, 1.53884], [5.23607, 1.53884], [6.8541, 1.53884], [7.8541, \
1.53884], [0.309017, 2.4899], [1.30902, 2.4899], [2.92705, 2.4899], \
[3.92705, 2.4899], [5.54508, 2.4899], [6.54508, 2.4899], [8.16312, \
2.4899], [0.5, 3.07768], [2.11803, 3.07768], [3.73607, 3.07768], \
[4.73607, 3.07768], [7.3541, 3.07768], [5.23607, 3.44095], [6.8541, \
3.44095], [0.809017, 4.02874], [1.80902, 4.02874], [2.42705, \
4.02874], [3.42705, 4.02874], [6.04508, 4.02874]], \
'outsideEdgeIndices' : [[13, 20], [20, 21], [21, 27], [27, 34], [34, \
35], [35, 28], [28, 36], [36, 37], [37, 29], [29, 22], [22, 23], [23, \
30], [30, 24], [24, 32], [32, 38], [38, 33], [33, 25], [25, 31], [31, \
26], [26, 19], [19, 18], [18, 12], [12, 5], [5, 4], [4, 11], [11, 3], \
[3, 2], [2, 10], [10, 17], [17, 16], [16, 9], [9, 15], [15, 7], [7, \
1], [1, 6], [6, 14], [14, 8], [8, 13]], 'outsideEdgeDegrees' : [72., \
0., 144., 72., 0., -72., 72., 0., -72., -144., 0., 36., -36., 108., \
36., -36., -108., 36., -36., -108., 180., -36., -108., 180., 108., \
-108., 180., 108., 36., 180., -144., 144., -72., -144., 144., 72., \
-144., 144.], 'insideEdgeIndices' : [[11, 17], [11, 18], [14, 15], \
[14, 21], [15, 22], [16, 23], [17, 24], [18, 25], [21, 28], [22, 28], \
[24, 25]]}, 'Icosahedron' : {'edgeCoordinates' : [[1., 0.], [2., 0.], \
[3., 0.], [4., 0.], [5., 0.], [0.5, 0.866025], [1.5, 0.866025], [2.5, \
0.866025], [3.5, 0.866025], [4.5, 0.866025], [5.5, 0.866025], [0., \
1.73205], [1., 1.73205], [2., 1.73205], [3., 1.73205], [4., 1.73205], \
[5., 1.73205], [0.5, 2.59808], [1.5, 2.59808], [2.5, 2.59808], [3.5, \
2.59808], [4.5, 2.59808]], 'outsideEdgeIndices' : [[12, 18], [18, \
13], [13, 19], [19, 14], [14, 20], [20, 15], [15, 21], [21, 16], [16, \
22], [22, 17], [17, 11], [11, 5], [5, 10], [10, 4], [4, 9], [9, 3], \
[3, 8], [8, 2], [2, 7], [7, 1], [1, 6], [6, 12]], \
'outsideEdgeDegrees' : [60., -60., 60., -60., 60., -60., 60., -60., \
60., -60., -60., -120., 120., -120., 120., -120., 120., -120., 120., \
-120., 120., 120.], 'insideEdgeIndices' : [[6, 7], [6, 13], [7, 8], \
[7, 13], [7, 14], [8, 9], [8, 14], [8, 15], [9, 10], [9, 15], [9, \
16], [10, 11], [10, 16], [10, 17], [12, 13], [13, 14], [14, 15], [15, \
16], [16, 17]]}, 'Octahedron' : {'edgeCoordinates' : [[2., 0.], [0.5, \
0.866025], [1.5, 0.866025], [2.5, 0.866025], [3.5, 0.866025], [0., \
1.73205], [1., 1.73205], [2., 1.73205], [3., 1.73205], [1.5, \
2.59808]], 'outsideEdgeIndices' : [[6, 7], [7, 10], [10, 8], [8, 9], \
[9, 5], [5, 4], [4, 1], [1, 3], [3, 2], [2, 6]], 'outsideEdgeDegrees' \
: [0., 60., -60., 0., -60., 180., -120., 120., 180., 120.], \
'insideEdgeIndices' : [[2, 7], [3, 4], [3, 7], [3, 8], [4, 8], [4, \
9], [7, 8]]}, 'Tetrahedron' : {'edgeCoordinates' : [[0., 0.], [0.5, \
0.866025], [1., 0.], [1., 1.73205], [1.5, 0.866025], [2., 0.]], \
'outsideEdgeIndices' : [[1, 2], [2, 4], [4, 5], [5, 6], [6, 3], [3, \
1]], 'outsideEdgeDegrees' : [60., 60., -60., -60., 180., 180.], \
'insideEdgeIndices' : [[2, 3], [2, 5], [3, 5]]}, 'Cuboctahedron' : \
{'edgeCoordinates' : [[0., 1.86603], [0., 2.86603], [0.5, 1.], \
[0.866025, 2.36603], [0.866025, 3.36603], [1.36603, 0.5], [1.36603, \
1.5], [1.86603, 2.36603], [1.86603, 3.36603], [2.23205, 0.], \
[2.23205, 1.], [2.73205, 1.86603], [2.73205, 2.86603], [3.23205, 0.], \
[3.23205, 1.], [3.59808, 2.36603], [4.09808, 0.5], [4.09808, 1.5], \
[4.59808, 2.36603], [4.9641, 1.], [5.4641, 1.86603], [5.9641, 1.]], \
'outsideEdgeIndices' : [[1, 4], [4, 2], [2, 5], [5, 9], [9, 13], [13, \
8], [8, 12], [12, 16], [16, 19], [19, 21], [21, 22], [22, 20], [20, \
18], [18, 15], [15, 17], [17, 14], [14, 10], [10, 6], [6, 11], [11, \
7], [7, 3], [3, 1]], 'outsideEdgeDegrees' : [30., 150., 30., 0., \
-30., -150., -30., 30., 0., -30., -60., 180., 150., -150., -30., \
-150., 180., 150., 30., 150., -150., 120.], 'insideEdgeIndices' : \
[[4, 5], [4, 7], [4, 8], [7, 8], [8, 9], [10, 11], [11, 12], [11, \
15], [12, 15], [14, 15], [16, 18], [18, 19], [20, 21]]}, \
'GreatRhombicosidodecahedron' : {'edgeCoordinates' : [[0., 5.63692], \
[0.309017, 4.68586], [0.309017, 6.58797], [0.618034, 8.04179], \
[0.618034, 10.7738], [1.11803, 4.09808], [1.11803, 7.17576], \
[1.11803, 8.90781], [1.11803, 9.90781], [1.11803, 11.6399], [2.11803, \
3.44371], [2.11803, 4.09808], [2.11803, 7.17576], [2.11803, 8.90781], \
[2.11803, 9.90781], [2.11803, 11.6399], [2.36603, 9.08063], [2.61803, \
2.57768], [2.61803, 8.04179], [2.61803, 10.7738], [2.67504, 8.12957], \
[2.67504, 10.0317], [2.92705, 4.68586], [2.92705, 6.58797], [2.98406, \
3.94371], [2.98406, 6.67576], [2.98406, 12.1399], [3.23607, 5.63692], \
[3.48406, 3.07768], [3.48406, 4.80973], [3.48406, 5.80973], [3.48406, \
7.54179], [3.48406, 10.6195], [3.48406, 11.2738], [4.48406, 3.07768], \
[4.48406, 4.80973], [4.48406, 5.80973], [4.48406, 7.54179], [4.48406, \
10.6195], [4.73205, 5.63692], [4.73205, 13.1787], [4.98406, 3.94371], \
[4.98406, 6.67576], [5.04107, 4.68586], [5.04107, 6.58797], [5.04107, \
12.2276], [5.04107, 14.1298], [5.29308, 8.12957], [5.29308, 10.0317], \
[5.35008, 8.04179], [5.35008, 10.7738], [5.60209, 9.08063], [5.85008, \
4.09808], [5.85008, 7.17576], [5.85008, 8.90781], [5.85008, 9.90781], \
[5.85008, 11.6399], [5.85008, 14.7175], [6.85008, 3.44371], [6.85008, \
4.09808], [6.85008, 7.17576], [6.85008, 8.90781], [6.85008, 9.90781], \
[6.85008, 11.6399], [6.85008, 14.7175], [7.09808, 9.08063], [7.35008, \
2.57768], [7.35008, 8.04179], [7.35008, 10.7738], [7.40709, 8.12957], \
[7.40709, 10.0317], [7.6591, 4.68586], [7.6591, 6.58797], [7.6591, \
12.2276], [7.6591, 14.1298], [7.71611, 3.94371], [7.71611, 6.67576], \
[7.71611, 12.1399], [7.96812, 5.63692], [7.96812, 13.1787], [8.21611, \
3.07768], [8.21611, 4.80973], [8.21611, 5.80973], [8.21611, 7.54179], \
[8.21611, 10.6195], [8.21611, 11.2738], [9.21611, 3.07768], [9.21611, \
4.80973], [9.21611, 5.80973], [9.21611, 7.54179], [9.21611, 10.6195], \
[9.4641, 5.63692], [9.71611, 3.94371], [9.71611, 6.67576], [9.77312, \
4.68586], [9.77312, 6.58797], [10.0251, 8.12957], [10.0251, 10.0317], \
[10.0821, 8.04179], [10.0821, 10.7738], [10.3341, 9.08063], [10.5821, \
4.09808], [10.5821, 7.17576], [10.5821, 8.90781], [10.5821, 9.90781], \
[10.5821, 11.6399], [11.5821, 3.44371], [11.5821, 4.09808], [11.5821, \
7.17576], [11.5821, 8.90781], [11.5821, 9.90781], [11.5821, 11.6399], \
[11.8301, 9.08063], [12.0821, 2.57768], [12.0821, 8.04179], [12.0821, \
10.7738], [12.1391, 8.12957], [12.1391, 10.0317], [12.3912, 4.68586], \
[12.3912, 6.58797], [12.4482, 3.94371], [12.4482, 6.67576], [12.4482, \
12.1399], [12.7002, 5.63692], [12.9482, 3.07768], [12.9482, 4.80973], \
[12.9482, 5.80973], [12.9482, 7.54179], [12.9482, 10.6195], [12.9482, \
11.2738], [13.9482, 3.07768], [13.9482, 4.80973], [13.9482, 5.80973], \
[13.9482, 7.54179], [13.9482, 10.6195], [14.1962, 5.63692], [14.4482, \
3.94371], [14.4482, 6.67576], [14.5052, 4.68586], [14.5052, 6.58797], \
[14.7572, 8.12957], [14.7572, 10.0317], [14.8142, 8.04179], [14.8142, \
10.7738], [15.0662, 9.08063], [15.3142, 4.09808], [15.3142, 7.17576], \
[15.3142, 8.90781], [15.3142, 9.90781], [15.3142, 11.6399], [16.3142, \
3.44371], [16.3142, 4.09808], [16.3142, 7.17576], [16.3142, 8.90781], \
[16.3142, 9.90781], [16.3142, 11.6399], [16.5622, 1.53884], [16.5622, \
9.08063], [16.8142, 2.57768], [16.8142, 8.04179], [16.8142, 10.7738], \
[16.8712, 0.587785], [16.8712, 2.4899], [16.8712, 8.12957], [16.8712, \
10.0317], [17.1232, 4.68586], [17.1232, 6.58797], [17.1802, 3.94371], \
[17.1802, 6.67576], [17.1802, 12.1399], [17.4322, 5.63692], [17.6802, \
0.], [17.6802, 3.07768], [17.6802, 4.80973], [17.6802, 5.80973], \
[17.6802, 7.54179], [17.6802, 10.6195], [17.6802, 11.2738], [18.6802, \
0.], [18.6802, 3.07768], [18.6802, 4.80973], [18.6802, 5.80973], \
[18.6802, 7.54179], [18.6802, 10.6195], [18.9282, 5.63692], [19.1802, \
3.94371], [19.1802, 6.67576], [19.2372, 4.68586], [19.2372, 6.58797], \
[19.4892, 0.587785], [19.4892, 2.4899], [19.4892, 8.12957], [19.4892, \
10.0317], [19.5462, 8.04179], [19.5462, 10.7738], [19.7982, 1.53884], \
[19.7982, 9.08063], [20.0462, 4.09808], [20.0462, 7.17576], [20.0462, \
8.90781], [20.0462, 9.90781], [20.0462, 11.6399], [21.0462, 3.44371], \
[21.0462, 4.09808], [21.0462, 7.17576], [21.0462, 8.90781], [21.0462, \
9.90781], [21.0462, 11.6399], [21.2942, 9.08063], [21.5462, 2.57768], \
[21.5462, 8.04179], [21.5462, 10.7738], [21.6032, 8.12957], [21.6032, \
10.0317], [21.8553, 4.68586], [21.8553, 6.58797], [21.9123, 3.94371], \
[21.9123, 6.67576], [21.9123, 12.1399], [22.1643, 5.63692], [22.4123, \
3.07768], [22.4123, 4.80973], [22.4123, 5.80973], [22.4123, 7.54179], \
[22.4123, 10.6195], [22.4123, 11.2738], [23.4123, 3.07768], [23.4123, \
4.80973], [23.4123, 5.80973], [23.4123, 7.54179], [23.4123, 10.6195], \
[23.9123, 3.94371], [23.9123, 6.67576], [24.2213, 8.12957], [24.2213, \
10.0317], [24.2783, 8.04179], [24.5303, 9.08063], [24.7783, \
7.17576]], 'outsideEdgeIndices' : [[1, 3], [3, 7], [7, 4], [4, 8], \
[8, 9], [9, 5], [5, 10], [10, 16], [16, 27], [27, 34], [34, 20], [20, \
15], [15, 14], [14, 19], [19, 32], [32, 21], [21, 17], [17, 22], [22, \
33], [33, 39], [39, 49], [49, 52], [52, 48], [48, 38], [38, 50], [50, \
55], [55, 56], [56, 51], [51, 57], [57, 46], [46, 41], [41, 47], [47, \
58], [58, 65], [65, 75], [75, 80], [80, 74], [74, 64], [64, 78], [78, \
86], [86, 69], [69, 63], [63, 62], [62, 68], [68, 84], [84, 70], [70, \
66], [66, 71], [71, 85], [85, 91], [91, 98], [98, 101], [101, 97], \
[97, 90], [90, 99], [99, 104], [104, 105], [105, 100], [100, 106], \
[106, 112], [112, 123], [123, 130], [130, 116], [116, 111], [111, \
110], [110, 115], [115, 128], [128, 117], [117, 113], [113, 118], \
[118, 129], [129, 135], [135, 142], [142, 145], [145, 141], [141, \
134], [134, 143], [143, 148], [148, 149], [149, 144], [144, 150], \
[150, 156], [156, 170], [170, 178], [178, 161], [161, 155], [155, \
154], [154, 160], [160, 176], [176, 164], [164, 158], [158, 165], \
[165, 177], [177, 184], [184, 193], [193, 197], [197, 192], [192, \
183], [183, 194], [194, 200], [200, 201], [201, 195], [195, 202], \
[202, 208], [208, 219], [219, 226], [226, 212], [212, 207], [207, \
206], [206, 211], [211, 224], [224, 213], [213, 209], [209, 214], \
[214, 225], [225, 231], [231, 235], [235, 237], [237, 234], [234, \
230], [230, 236], [236, 238], [238, 233], [233, 229], [229, 228], \
[228, 232], [232, 227], [227, 221], [221, 210], [210, 203], [203, \
217], [217, 222], [222, 223], [223, 218], [218, 205], [205, 216], \
[216, 220], [220, 215], [215, 204], [204, 198], [198, 188], [188, \
185], [185, 189], [189, 199], [199, 187], [187, 182], [182, 181], \
[181, 186], [186, 180], [180, 191], [191, 196], [196, 190], [190, \
179], [179, 172], [172, 162], [162, 157], [157, 163], [163, 173], \
[173, 159], [159, 151], [151, 168], [168, 174], [174, 175], [175, \
169], [169, 153], [153, 167], [167, 171], [171, 166], [166, 152], \
[152, 146], [146, 139], [139, 136], [136, 140], [140, 147], [147, \
138], [138, 133], [133, 132], [132, 137], [137, 131], [131, 125], \
[125, 114], [114, 107], [107, 121], [121, 126], [126, 127], [127, \
122], [122, 109], [109, 120], [120, 124], [124, 119], [119, 108], \
[108, 102], [102, 95], [95, 92], [92, 96], [96, 103], [103, 94], [94, \
89], [89, 88], [88, 93], [93, 87], [87, 81], [81, 67], [67, 59], [59, \
76], [76, 82], [82, 83], [83, 77], [77, 61], [61, 73], [73, 79], [79, \
72], [72, 60], [60, 53], [53, 44], [44, 40], [40, 45], [45, 54], [54, \
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