:name
parabigyrate rhombicosidodecahedron (J73)
:number
117
:symbol
	@p sub 0 @
:sfaces
62 20{3} 30{4} 12{5}
:svertices
60 20(@3@.@4 sup 2@.@5@) 40(@3@.@4@.@5@.@4@)
:net
62 5
4 9 7 15 17
3 17 15 24
4 15 14 23 24
5 4 0 3 14 15
3 6 13 14
4 14 13 22 23
4 2 8 13 6
3 2 1 8
4 1 5 12 8
5 8 12 18 25 16
3 5 11 12
4 12 11 20 21
4 34 31 37 39
3 39 37 44
4 37 36 43 44
5 29 26 28 36 37
3 36 38 43
4 43 38 49 53
4 30 33 38 36
3 23 22 30
4 22 27 33 30
5 33 32 40 45 41
3 27 32 33
4 20 11 10 19
4 80 71 70 79
3 58 57 63
4 57 60 68 63
5 51 46 50 57 58
3 60 67 68
4 68 67 76 77
4 53 55 60 57
3 53 49 55
4 49 48 54 55
5 55 54 61 64 62
3 48 52 54
4 54 52 56 59
4 70 69 78 79
3 79 78 85
4 78 82 89 85
5 72 65 74 82 78
3 82 88 89
4 88 84 94 99
4 77 84 88 82
3 77 76 84
4 67 66 75 76
5 76 75 86 91 87
3 66 73 75
4 75 73 81 83
4 103 100 107 110
3 110 107 114
4 107 106 113 114
5 97 92 96 106 107
3 106 109 113
4 113 109 116 117
4 99 102 109 106
3 99 94 102
4 94 93 101 102
5 102 101 111 115 112
3 93 98 101
4 101 98 105 108
5 35 34 39 47 42
5 98 90 95 104 105
:solid
62 5
4 142 139 151 154
3 154 151 162
4 151 150 161 162
5 139 129 137 150 151
3 137 146 150
4 150 146 159 161
4 127 140 146 137
3 127 128 140
4 128 138 147 140
5 140 147 160 159 146
3 138 152 147
4 147 152 163 160
4 154 162 171 165
3 165 171 173
4 171 175 177 173
5 162 161 169 175 171
3 175 176 177
4 177 176 172 174
4 169 170 176 175
3 161 159 169
4 159 160 170 169
5 170 163 164 172 176
3 160 163 170
4 163 152 153 164
4 165 173 167 157
3 167 168 155
4 168 158 149 155
5 173 177 174 168 167
3 158 145 149
4 149 145 134 136
4 174 166 158 168
3 174 172 166
4 172 164 156 166
5 166 156 144 145 158
3 164 153 156
4 156 153 141 144
4 167 155 148 157
3 157 148 143
4 148 135 132 143
5 155 149 136 135 148
3 135 125 132
4 125 126 120 119
4 136 126 125 135
3 136 134 126
4 145 144 133 134
5 134 133 124 120 126
3 144 141 133
4 133 141 130 124
4 143 132 131 142
3 142 131 139
4 131 123 129 139
5 132 125 119 123 131
3 123 121 129
4 129 121 127 137
4 119 118 121 123
3 119 120 118
4 120 124 122 118
5 118 122 128 127 121
3 124 130 122
4 122 130 138 128
5 142 154 165 157 143
5 130 141 153 152 138
:hinges
61
0 2 1 0 2.7767288254763101
1 1 2 3 2.7767288254763101
3 3 2 0 2.588018294692748
5 3 2 1 2.6779450445889871
4 1 5 0 2.7767288254763101
4 0 6 2 2.7767288254763101
6 0 7 2 2.7767288254763101
7 1 8 3 2.7767288254763101
9 0 8 2 2.588018294692748
10 2 8 1 2.7767288254763101
10 1 11 0 2.7767288254763101
12 2 13 0 2.7767288254763101
13 1 14 3 2.7767288254763101
15 3 14 0 2.588018294692748
16 2 14 1 2.7767288254763101
16 1 17 0 2.7767288254763101
16 0 18 2 2.7767288254763101
18 0 20 2 2.6779450445889871
19 1 20 3 2.7767288254763101
21 0 22 1 2.68680253336394
22 2 20 1 2.7767288254763101
11 1 23 0 2.6779450445889871
19 0 5 2 2.7767288254763101
24 2 36 3 2.6779450445889871
25 1 26 3 2.7767288254763101
27 3 25 0 2.68680253336394
28 2 26 1 2.7767288254763101
28 1 29 0 2.7767288254763101
26 0 30 2 2.6779450445889871
30 0 31 2 2.7767288254763101
31 1 32 3 2.7767288254763101
33 0 32 2 2.588018294692748
34 2 32 1 2.7767288254763101
34 1 35 0 2.7767288254763101
31 0 17 2 2.7767288254763101
36 2 37 0 2.7767288254763101
37 1 38 3 2.7767288254763101
39 3 38 0 2.588018294692748
40 2 38 1 2.7767288254763101
42 1 41 0 2.6779450445889871
40 0 42 2 2.7767288254763101
42 0 43 2 2.7767288254763101
29 1 44 3 2.6779450445889871
45 0 44 2 2.588018294692748
46 2 44 1 2.7767288254763101
46 1 47 0 2.7767288254763101
43 0 29 2 2.7767288254763101
48 2 49 0 2.7767288254763101
49 1 50 3 2.7767288254763101
51 3 50 0 2.588018294692748
52 2 50 1 2.7767288254763101
52 1 53 0 2.7767288254763101
52 0 54 2 2.7767288254763101
54 0 55 2 2.7767288254763101
55 1 56 3 2.7767288254763101
57 0 56 2 2.588018294692748
58 2 56 1 2.7767288254763101
58 1 59 0 2.7767288254763101
55 0 41 2 2.7767288254763101
60 1 12 3 2.588018294692748
61 4 59 1 2.588018294692748
:dih
4
50 3 4 2.7767288254763101
10 4 4 2.6779450445889871
10 3 5 2.68680258736394
50 4 5 2.588018294692748
:vertices
178 118
-12.9670449988631[(-9/2-4*sqrt(3))+(1/16+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/4+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 0[0]
-12.7942286340599[(-5+(-9/2)*sqrt(3))] -2.86602540378444[(-2+(-1/2)*sqrt(3))] 0[0]
-12.7942286340599[(-5+(-9/2)*sqrt(3))] -1.86602540378444[(-1+(-1/2)*sqrt(3))] 0[0]
-12.3792597465707[(-9/2-4*sqrt(3))+(-1/8+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] -.80901699437494701[(-1/4+(-1/4)*sqrt(5))] 0[0]
-12.3792597465707[(-9/2-4*sqrt(3))-1/8*sqrt(10+2*sqrt(5))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] .80901699437494701[(1/4+(1/4)*sqrt(5))] 0[0]
-12.2942286340599[(-9/2+(-9/2)*sqrt(3))] -3.73205080756888[(-2-sqrt(3))] 0[0]
-12.2942286340599[(-9/2+(-9/2)*sqrt(3))] -1[-1] 0[0]
-12.2942286340599[(-9/2+(-9/2)*sqrt(3))] 1[1] 0[0]
-11.9282032302755[(-5-4*sqrt(3))] -2.36602540378444[(-3/2+(-1/2)*sqrt(3))] 0[0]
-11.7942286340599[(-4+(-9/2)*sqrt(3))] 1.86602540378444[(1+(1/2)*sqrt(3))] 0[0]
-11.4282032302755[(-9/2-4*sqrt(3))] -5.23205080756888[(-7/2-sqrt(3))] 0[0]
-11.4282032302755[(-9/2-4*sqrt(3))] -4.23205080756888[(-5/2-sqrt(3))] 0[0]
-11.4282032302755[(-9/2-4*sqrt(3))] -3.23205080756888[(-3/2-sqrt(3))] 0[0]
-11.4282032302755[(-9/2-4*sqrt(3))] -1.5[-3/2] 0[0]
-11.4282032302755[(-9/2-4*sqrt(3))] -.5[-1/2] 0[0]
-11.4282032302755[(-9/2-4*sqrt(3))] .5[1/2] 0[0]
-11.2590726239167[(-39/8-4*sqrt(3)+(-1/8)*sqrt(5))+(1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((1/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] -1.62288057830704[(-3/2+(-5/8)*sqrt(3)+(1/8)*sqrt(15))+1/16*sqrt(10+2*sqrt(5))+(1/32+(1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
-10.9282032302755[(-4-4*sqrt(3))] 1.36602540378444[(1/2+(1/2)*sqrt(3))] 0[0]
-10.4500556295417[(-37/8-4*sqrt(3)+(1/8)*sqrt(5))+((3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+(-1/16)*sqrt(3)*sqrt(10-2*sqrt(5))] -3.02413911675112[(-3/2+(-7/8)*sqrt(3)+(-1/8)*sqrt(15))+(3/32+(1/32)*sqrt(5))*sqrt(10+2*sqrt(5))-1/16*sqrt(10-2*sqrt(5))] 0[0]
-10.4282032302755[(-7/2-4*sqrt(3))] -5.23205080756888[(-7/2-sqrt(3))] 0[0]
-10.4282032302755[(-7/2-4*sqrt(3))] -4.23205080756888[(-5/2-sqrt(3))] 0[0]
-10.4282032302755[(-7/2-4*sqrt(3))] -3.23205080756888[(-3/2-sqrt(3))] 0[0]
-10.4282032302755[(-7/2-4*sqrt(3))] -1.5[-3/2] 0[0]
-10.4282032302755[(-7/2-4*sqrt(3))] -.5[-1/2] 0[0]
-10.4282032302755[(-7/2-4*sqrt(3))] .5[1/2] 0[0]
-10.345527166274[(-19/4-4*sqrt(3))+((3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+(1/16)*sqrt(3)*sqrt(10-2*sqrt(5))] -2.02961722138284[(-3/2+(-3/4)*sqrt(3))+(3/32+(1/32)*sqrt(5))*sqrt(10+2*sqrt(5))+1/16*sqrt(10-2*sqrt(5))] 0[0]
-10.2349941912943[(-7/2-3*sqrt(3))+(1/16+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/4+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 0[0]
-9.9282032302755101[(-3-4*sqrt(3))] -2.36602540378444[(-3/2+(-1/2)*sqrt(3))] 0[0]
-9.6472089390017901[(-7/2-3*sqrt(3))+(-1/8+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] -.80901699437494701[(-1/4+(-1/4)*sqrt(5))] 0[0]
-9.6472089390017901[(-7/2-3*sqrt(3))-1/8*sqrt(10+2*sqrt(5))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] .80901699437494701[(1/4+(1/4)*sqrt(5))] 0[0]
-9.56217782649107[(-7/2+(-7/2)*sqrt(3))] -1[-1] 0[0]
-9.56217782649107[(-7/2+(-7/2)*sqrt(3))] 1[1] 0[0]
-9.06217782649107[(-3+(-7/2)*sqrt(3))] -2.86602540378444[(-2+(-1/2)*sqrt(3))] 0[0]
-9.06217782649107[(-3+(-7/2)*sqrt(3))] -1.86602540378444[(-1+(-1/2)*sqrt(3))] 0[0]
-9.06217782649107[(-3+(-7/2)*sqrt(3))] 1.86602540378444[(1+(1/2)*sqrt(3))] 0[0]
-8.8542661356733099[(-3+(-27/8)*sqrt(3)+(-1/8)*sqrt(15))+(3/32+(-1/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/32+(1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 2.84417300451824[(7/8+(1/2)*sqrt(3)+(1/8)*sqrt(5))+((3/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+((3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0]
-8.69615242270663[(-7/2-3*sqrt(3))] -.5[-1/2] 0[0]
-8.69615242270663[(-7/2-3*sqrt(3))] .5[1/2] 0[0]
-8.19615242270663[(-3-3*sqrt(3))] -1.36602540378444[(-1/2+(-1/2)*sqrt(3))] 0[0]
-8.19615242270663[(-3-3*sqrt(3))] 1.36602540378444[(1/2+(1/2)*sqrt(3))] 0[0]
-8.1111213101959201[(-3+(-7/2)*sqrt(3))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] -3.17504239815939[(-7/4+(-1/2)*sqrt(3)+(-1/4)*sqrt(5))] 0[0]
-8.1111213101959201[(-3+(-7/2)*sqrt(3))+1/8*sqrt(10+2*sqrt(5))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -1.55700840940949[(-5/4+(-1/2)*sqrt(3)+(1/4)*sqrt(5))] 0[0]
-7.85974424030504[(-3+(-13/4)*sqrt(3))+(3/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 2.9487014677859[(3/4+(1/2)*sqrt(3))+((3/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0]
-7.69615242270663[(-5/2-3*sqrt(3))] -.5[-1/2] 0[0]
-7.69615242270663[(-5/2-3*sqrt(3))] .5[1/2] 0[0]
-7.5233360579034401[(-3+(-7/2)*sqrt(3))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] -2.36602540378444[(-3/2+(-1/2)*sqrt(3))] 0[0]
-7.5029433837253799[(-5/2-2*sqrt(3))+(1/16+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/4+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 0[0]
-7.45300759722924[(-3+(-25/8)*sqrt(3)+(1/8)*sqrt(15))+(1/32+(-1/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 2.0351560101433[(5/8+(1/2)*sqrt(3)+(-1/8)*sqrt(5))+((1/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+((1/8)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0]
-7.33012701892219[(-3+(-5/2)*sqrt(3))] -2.86602540378444[(-2+(-1/2)*sqrt(3))] 0[0]
-7.33012701892219[(-3+(-5/2)*sqrt(3))] -1.86602540378444[(-1+(-1/2)*sqrt(3))] 0[0]
-6.91515813143291[(-5/2-2*sqrt(3))+(-1/8+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] -.80901699437494701[(-1/4+(-1/4)*sqrt(5))] 0[0]
-6.91515813143291[(-5/2-2*sqrt(3))-1/8*sqrt(10+2*sqrt(5))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] .80901699437494701[(1/4+(1/4)*sqrt(5))] 0[0]
-6.83012701892219[(-5/2+(-5/2)*sqrt(3))] -3.73205080756888[(-2-sqrt(3))] 0[0]
-6.83012701892219[(-5/2+(-5/2)*sqrt(3))] -1[-1] 0[0]
-6.33012701892219[(-2+(-5/2)*sqrt(3))] -2.86602540378444[(-2+(-1/2)*sqrt(3))] 0[0]
-6.33012701892219[(-2+(-5/2)*sqrt(3))] -1.86602540378444[(-1+(-1/2)*sqrt(3))] 0[0]
-5.9641016151377501[(-5/2-2*sqrt(3))] -4.23205080756888[(-5/2-sqrt(3))] 0[0]
-5.9641016151377501[(-5/2-2*sqrt(3))] -.5[-1/2] 0[0]
-5.9641016151377501[(-5/2-2*sqrt(3))] .5[1/2] 0[0]
-5.4641016151377501[(-2-2*sqrt(3))] -3.36602540378444[(-5/2+(-1/2)*sqrt(3))] 0[0]
-5.4641016151377501[(-2-2*sqrt(3))] -1.36602540378444[(-1/2+(-1/2)*sqrt(3))] 0[0]
-5.37907050262704[(-2+(-5/2)*sqrt(3))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] -3.17504239815939[(-7/4+(-1/2)*sqrt(3)+(-1/4)*sqrt(5))] 0[0]
-5.37907050262704[(-2+(-5/2)*sqrt(3))+1/8*sqrt(10+2*sqrt(5))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -1.55700840940949[(-5/4+(-1/2)*sqrt(3)+(1/4)*sqrt(5))] 0[0]
-5.09807621135332[(-5/2+(-3/2)*sqrt(3))] 0[0] 0[0]
-4.79128525033457[(-2+(-5/2)*sqrt(3))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] -2.36602540378444[(-3/2+(-1/2)*sqrt(3))] 0[0]
-4.68075227535478[(-3/4+(-3/2)*sqrt(3))+((1/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+((-1/8)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] -.336408182401594[(1/4)*sqrt(3)+(1/32+(-1/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/8+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
-4.59807621135332[(-2+(-3/2)*sqrt(3))] -2.86602540378444[(-2+(-1/2)*sqrt(3))] 0[0]
-4.59807621135332[(-2+(-3/2)*sqrt(3))] -1.86602540378444[(-1+(-1/2)*sqrt(3))] 0[0]
-4.59807621135332[(-2+(-3/2)*sqrt(3))] -.866025403784439[(-1/2)*sqrt(3)] 0[0]
-4.59807621135332[(-2+(-3/2)*sqrt(3))] .866025403784439[(1/2)*sqrt(3)] 0[0]
-4.59807621135332[(-2+(-3/2)*sqrt(3))] 1.86602540378444[(1+(1/2)*sqrt(3))] 0[0]
-4.59807621135332[(-2+(-3/2)*sqrt(3))] 2.86602540378444[(2+(1/2)*sqrt(3))] 0[0]
-4.57622381208712[(-7/8+(-3/2)*sqrt(3)+(-1/8)*sqrt(5))+(-1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((-1/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] .65811371296667901[((3/8)*sqrt(3)+(1/8)*sqrt(15))-1/16*sqrt(10+2*sqrt(5))+(-1/32+(-1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
-4.09807621135332[(-3/2+(-3/2)*sqrt(3))] -3.73205080756888[(-2-sqrt(3))] 0[0]
-3.76720681771217[(-5/8+(-3/2)*sqrt(3)+(1/8)*sqrt(5))+((-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] -.74314482547739401[((1/8)*sqrt(3)+(-1/8)*sqrt(15))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
-3.59807621135332[(-1+(-3/2)*sqrt(3))] -2.86602540378444[(-2+(-1/2)*sqrt(3))] 0[0]
-3.59807621135332[(-1+(-3/2)*sqrt(3))] -1.86602540378444[(-1+(-1/2)*sqrt(3))] 0[0]
-3.59807621135332[(-1+(-3/2)*sqrt(3))] -.866025403784439[(-1/2)*sqrt(3)] 0[0]
-3.59807621135332[(-1+(-3/2)*sqrt(3))] .866025403784439[(1/2)*sqrt(3)] 0[0]
-3.59807621135332[(-1+(-3/2)*sqrt(3))] 1.86602540378444[(1+(1/2)*sqrt(3))] 0[0]
-3.59807621135332[(-1+(-3/2)*sqrt(3))] 2.86602540378444[(2+(1/2)*sqrt(3))] 0[0]
-3.23205080756888[(-3/2-sqrt(3))] -4.23205080756888[(-5/2-sqrt(3))] 0[0]
-3.09807621135332[(-1/2+(-3/2)*sqrt(3))] 0[0] 0[0]
-2.73205080756888[(-1-sqrt(3))] -3.36602540378444[(-5/2+(-1/2)*sqrt(3))] 0[0]
-2.73205080756888[(-1-sqrt(3))] -1.36602540378444[(-1/2+(-1/2)*sqrt(3))] 0[0]
-2.73205080756888[(-1-sqrt(3))] 1.36602540378444[(1/2+(1/2)*sqrt(3))] 0[0]
-2.64701969505816[(-1+(-3/2)*sqrt(3))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] -3.17504239815939[(-7/4+(-1/2)*sqrt(3)+(-1/4)*sqrt(5))] 0[0]
-2.64701969505816[(-1+(-3/2)*sqrt(3))+1/8*sqrt(10+2*sqrt(5))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -1.55700840940949[(-5/4+(-1/2)*sqrt(3)+(1/4)*sqrt(5))] 0[0]
-2.23205080756888[(-1/2-sqrt(3))] -.5[-1/2] 0[0]
-2.23205080756888[(-1/2-sqrt(3))] .5[1/2] 0[0]
-2.10917022926183[(-1/2+(-3/8)*sqrt(3)+(-1/8)*sqrt(15))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -4.40118141392774[(-17/8-sqrt(3)+(1/8)*sqrt(5))+((-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0]
-2.05923444276569[(-1+(-3/2)*sqrt(3))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] -2.36602540378444[(-3/2+(-1/2)*sqrt(3))] 0[0]
-2.03884176858763[-1/2+(1/16+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/4+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 0[0]
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:EOF
