:name
truncated icosahedron
:number
18
:symbol
t{3,5}	@C sub 5 @
:dual
pentakis dodecahedron
:sfaces
32 12{5} 20{6}
:svertices
60 60(@5@.@6 sup 2@)
:net
32 6
5 23 28 48 49 29
6 48 59 70 71 60 49
6 70 95 105 106 96 71
6 3 13 38 39 14 4
6 38 49 60 61 50 39
5 60 80 90 81 61
5 24 30 50 51 31
6 50 61 72 73 62 51
6 72 97 107 108 98 73
6 5 15 40 41 16 6
6 40 51 62 63 52 41
5 62 82 91 83 63
5 25 32 52 53 33
6 52 63 74 75 64 53
6 74 99 109 110 100 75
6 7 17 42 43 18 8
6 42 53 64 65 54 43
5 64 84 92 85 65
5 26 34 54 55 35
6 54 65 76 77 66 55
6 76 101 111 112 102 77
6 9 19 44 45 20 10
6 44 55 66 67 56 45
5 66 86 93 87 67
5 27 36 56 57 37
6 56 67 78 79 68 57
6 78 103 113 114 104 79
6 11 21 46 47 22 12
6 46 57 68 69 58 47
5 68 88 94 89 69
5 0 1 3 4 2
5 107 115 117 116 108
:hinges
31
0 2 1 5 2.489234513805425
1 2 2 5 2.4118649973628269
3 2 4 5 2.4118649973628269
4 2 5 4 2.489234513805425
1 4 4 1 2.4118649973628269
6 2 7 5 2.489234513805425
7 2 8 5 2.4118649973628269
9 2 10 5 2.4118649973628269
10 2 11 4 2.489234513805425
7 4 10 1 2.4118649973628269
7 0 4 3 2.4118649973628269
12 2 13 5 2.489234513805425
13 2 14 5 2.4118649973628269
15 2 16 5 2.4118649973628269
16 2 17 4 2.489234513805425
13 4 16 1 2.4118649973628269
13 0 10 3 2.4118649973628269
18 2 19 5 2.489234513805425
19 2 20 5 2.4118649973628269
21 2 22 5 2.4118649973628269
22 2 23 4 2.489234513805425
19 4 22 1 2.4118649973628269
19 0 16 3 2.4118649973628269
24 2 25 5 2.489234513805425
25 2 26 5 2.4118649973628269
27 2 28 5 2.4118649973628269
28 2 29 4 2.489234513805425
25 4 28 1 2.4118649973628269
25 0 22 3 2.4118649973628269
30 2 3 5 2.489234513805425
31 4 8 2 2.489234513805425
:dih
2
60 5 6 2.489234513805425
30 6 6 2.4118649973628269
:vertices
118
-3.44872701970536[(-3/2)*sqrt(3)+(-1/10)*sqrt(5)*sqrt(10+2*sqrt(5))] 1.5[3/2] 0[0]
-2.86094176741288[(-3/2)*sqrt(3)+(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] .690983005625053[(5/4+(-1/4)*sqrt(5))] 0[0]
-2.86094176741288[(-3/2)*sqrt(3)+(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 2.30901699437495[(7/4+(1/4)*sqrt(5))] 0[0]
-1.90988525111773[(-3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 1[1] 0[0]
-1.90988525111773[(-3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 2[2] 0[0]
-1.90988525111773[(-3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 4[4] 0[0]
-1.90988525111773[(-3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 5[5] 0[0]
-1.90988525111773[(-3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 7[7] 0[0]
-1.90988525111773[(-3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 8[8] 0[0]
-1.90988525111773[(-3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 10[10] 0[0]
-1.90988525111773[(-3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 11[11] 0[0]
-1.90988525111773[(-3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 13[13] 0[0]
-1.90988525111773[(-3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 14[14] 0[0]
-1.04385984733329[-sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] .5[1/2] 0[0]
-1.04385984733329[-sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 2.5[5/2] 0[0]
-1.04385984733329[-sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 3.5[7/2] 0[0]
-1.04385984733329[-sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 5.5[11/2] 0[0]
-1.04385984733329[-sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 6.5[13/2] 0[0]
-1.04385984733329[-sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 8.5[17/2] 0[0]
-1.04385984733329[-sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 9.5[19/2] 0[0]
-1.04385984733329[-sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 11.5[23/2] 0[0]
-1.04385984733329[-sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 12.5[25/2] 0[0]
-1.04385984733329[-sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 14.5[29/2] 0[0]
-.85065080835204001[(-1/10)*sqrt(5)*sqrt(10+2*sqrt(5))] 0[0] 0[0]
-.85065080835204001[(-1/10)*sqrt(5)*sqrt(10+2*sqrt(5))] 3[3] 0[0]
-.85065080835204001[(-1/10)*sqrt(5)*sqrt(10+2*sqrt(5))] 6[6] 0[0]
-.85065080835204001[(-1/10)*sqrt(5)*sqrt(10+2*sqrt(5))] 9[9] 0[0]
-.85065080835204001[(-1/10)*sqrt(5)*sqrt(10+2*sqrt(5))] 12[12] 0[0]
-.262865556059567[(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] -.80901699437494701[(-1/4+(-1/4)*sqrt(5))] 0[0]
-.262865556059567[(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] .80901699437494701[(1/4+(1/4)*sqrt(5))] 0[0]
-.262865556059567[(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 2.19098300562505[(11/4+(-1/4)*sqrt(5))] 0[0]
-.262865556059567[(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 3.80901699437495[(13/4+(1/4)*sqrt(5))] 0[0]
-.262865556059567[(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 5.19098300562505[(23/4+(-1/4)*sqrt(5))] 0[0]
-.262865556059567[(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 6.80901699437495[(25/4+(1/4)*sqrt(5))] 0[0]
-.262865556059567[(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 8.1909830056250501[(35/4+(-1/4)*sqrt(5))] 0[0]
-.262865556059567[(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 9.8090169943749499[(37/4+(1/4)*sqrt(5))] 0[0]
-.262865556059567[(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 11.1909830056251[(47/4+(-1/4)*sqrt(5))] 0[0]
-.262865556059567[(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 12.8090169943749[(49/4+(1/4)*sqrt(5))] 0[0]
-.177834443548852[(-1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 1[1] 0[0]
-.177834443548852[(-1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 2[2] 0[0]
-.177834443548852[(-1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 4[4] 0[0]
-.177834443548852[(-1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 5[5] 0[0]
-.177834443548852[(-1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 7[7] 0[0]
-.177834443548852[(-1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 8[8] 0[0]
-.177834443548852[(-1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 10[10] 0[0]
-.177834443548852[(-1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 11[11] 0[0]
-.177834443548852[(-1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 13[13] 0[0]
-.177834443548852[(-1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 14[14] 0[0]
.688190960235587[(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] -.5[-1/2] 0[0]
.688190960235587[(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] .5[1/2] 0[0]
.688190960235587[(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 2.5[5/2] 0[0]
.688190960235587[(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 3.5[7/2] 0[0]
.688190960235587[(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 5.5[11/2] 0[0]
.688190960235587[(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 6.5[13/2] 0[0]
.688190960235587[(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 8.5[17/2] 0[0]
.688190960235587[(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 9.5[19/2] 0[0]
.688190960235587[(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 11.5[23/2] 0[0]
.688190960235587[(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 12.5[25/2] 0[0]
.688190960235587[(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 14.5[29/2] 0[0]
1.55421636402003[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] -1[-1] 0[0]
1.55421636402003[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 1[1] 0[0]
1.55421636402003[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 2[2] 0[0]
1.55421636402003[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 4[4] 0[0]
1.55421636402003[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 5[5] 0[0]
1.55421636402003[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 7[7] 0[0]
1.55421636402003[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 8[8] 0[0]
1.55421636402003[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 10[10] 0[0]
1.55421636402003[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 11[11] 0[0]
1.55421636402003[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 13[13] 0[0]
1.55421636402003[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 14[14] 0[0]
2.42024176780446[sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] -.5[-1/2] 0[0]
2.42024176780446[sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] .5[1/2] 0[0]
2.42024176780446[sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 2.5[5/2] 0[0]
2.42024176780446[sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 3.5[7/2] 0[0]
2.42024176780446[sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 5.5[11/2] 0[0]
2.42024176780446[sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 6.5[13/2] 0[0]
2.42024176780446[sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 8.5[17/2] 0[0]
2.42024176780446[sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 9.5[19/2] 0[0]
2.42024176780446[sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 11.5[23/2] 0[0]
2.42024176780446[sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 12.5[25/2] 0[0]
2.50527288031518[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] .690983005625053[(5/4+(-1/4)*sqrt(5))] 0[0]
2.50527288031518[(1/2)*sqrt(3)+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 2.30901699437495[(7/4+(1/4)*sqrt(5))] 0[0]
2.50527288031518[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 3.69098300562505[(17/4+(-1/4)*sqrt(5))] 0[0]
2.50527288031518[(1/2)*sqrt(3)+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 5.30901699437495[(19/4+(1/4)*sqrt(5))] 0[0]
2.50527288031518[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 6.69098300562505[(29/4+(-1/4)*sqrt(5))] 0[0]
2.50527288031518[(1/2)*sqrt(3)+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 8.3090169943749499[(31/4+(1/4)*sqrt(5))] 0[0]
2.50527288031518[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 9.6909830056250501[(41/4+(-1/4)*sqrt(5))] 0[0]
2.50527288031518[(1/2)*sqrt(3)+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 11.3090169943749[(43/4+(1/4)*sqrt(5))] 0[0]
2.50527288031518[(1/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 12.6909830056251[(53/4+(-1/4)*sqrt(5))] 0[0]
2.50527288031518[(1/2)*sqrt(3)+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 14.3090169943749[(55/4+(1/4)*sqrt(5))] 0[0]
3.09305813260765[(1/2)*sqrt(3)+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 1.5[3/2] 0[0]
3.09305813260765[(1/2)*sqrt(3)+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 4.5[9/2] 0[0]
3.09305813260765[(1/2)*sqrt(3)+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 7.5[15/2] 0[0]
3.09305813260765[(1/2)*sqrt(3)+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 10.5[21/2] 0[0]
3.09305813260765[(1/2)*sqrt(3)+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 13.5[27/2] 0[0]
3.2862671715889[(3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] -1[-1] 0[0]
3.2862671715889[(3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 1[1] 0[0]
3.2862671715889[(3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 2[2] 0[0]
3.2862671715889[(3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 4[4] 0[0]
3.2862671715889[(3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 5[5] 0[0]
3.2862671715889[(3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 7[7] 0[0]
3.2862671715889[(3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 8[8] 0[0]
3.2862671715889[(3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 10[10] 0[0]
3.2862671715889[(3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 11[11] 0[0]
3.2862671715889[(3/2)*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 13[13] 0[0]
4.15229257537334[2*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] -.5[-1/2] 0[0]
4.15229257537334[2*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] .5[1/2] 0[0]
4.15229257537334[2*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 2.5[5/2] 0[0]
4.15229257537334[2*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 3.5[7/2] 0[0]
4.15229257537334[2*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 5.5[11/2] 0[0]
4.15229257537334[2*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 6.5[13/2] 0[0]
4.15229257537334[2*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 8.5[17/2] 0[0]
4.15229257537334[2*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 9.5[19/2] 0[0]
4.15229257537334[2*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 11.5[23/2] 0[0]
4.15229257537334[2*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 12.5[25/2] 0[0]
5.10334909166849[2*sqrt(3)+(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 2.19098300562505[(11/4+(-1/4)*sqrt(5))] 0[0]
5.10334909166849[2*sqrt(3)+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 3.80901699437495[(13/4+(1/4)*sqrt(5))] 0[0]
5.69113434396097[2*sqrt(3)+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 3[3] 0[0]
:EOF

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