:name
elongated pentagonal gyrocupolarotunda (J41)
:number
85
:symbol
	@gQ sub 5 @
:sfaces
37 15{3} 15{4} 7{5}
:svertices
35 10(@3@.@4 sup 3@) 10(@3@.@4 sup 2@.@5@) 5(@3@.@4@.@5@.@4@) 10(@3@.@5@.@3@.@5@)
:net
37 5
5 30 39 44 35 24
4 39 30 29 38
3 39 38 47
4 44 39 49 56
3 44 56 55
4 35 44 48 40
3 35 40 31
4 24 35 26 18
3 24 18 11
4 30 24 12 17
3 30 17 25
5 34 21 22 36 42
5 34 43 37 28 23
3 34 23 21
3 23 28 16
5 21 20 8 5 13
3 21 13 22
3 13 5 4
5 22 10 9 19 27
3 22 27 36
3 27 19 32
5 36 33 41 50 46
3 36 46 42
3 46 50 58
5 42 51 59 57 45
3 42 45 34
3 45 57 52
4 1 0 2 3
4 3 2 6 7
4 7 6 14 15
4 15 14 28 29
4 29 28 37 38
4 38 37 53 54
4 54 53 60 61
4 61 60 62 63
4 63 62 64 65
4 65 64 66 67
:solid
37 5
5 73 77 86 88 80
4 77 73 68 71
3 77 71 78
4 86 77 78 89
3 86 89 95
4 88 86 95 98
3 88 98 93
4 80 88 93 85
3 80 85 76
4 73 80 76 69
3 73 69 68
5 83 84 94 99 91
5 83 81 74 70 75
3 83 75 84
3 75 70 72
5 84 75 72 79 87
3 84 87 94
3 87 79 90
5 94 87 90 97 101
3 94 101 99
3 101 97 102
5 99 101 102 100 96
3 99 96 91
3 96 100 92
5 91 96 92 82 81
3 91 81 83
3 81 82 74
4 93 97 90 85
4 85 90 79 76
4 76 79 72 69
4 69 72 70 68
4 68 70 74 71
4 71 74 82 78
4 78 82 92 89
4 89 92 100 95
4 95 100 102 98
4 98 102 97 93
:hinges
36
0 0 1 0 2.588018294692748
1 3 2 0 2.7767288254763101
0 1 3 0 2.588018294692748
3 3 4 0 2.7767288254763101
0 2 5 0 2.588018294692748
5 3 6 0 2.7767288254763101
0 3 7 0 2.588018294692748
7 3 8 0 2.7767288254763101
0 4 9 0 2.588018294692748
9 3 10 0 2.7767288254763101
11 0 13 2 2.489234513805425
12 4 13 0 2.489234513805425
12 3 14 0 2.489234513805425
11 1 16 2 2.489234513805425
15 4 16 0 2.489234513805425
15 3 17 0 2.489234513805425
11 2 19 2 2.489234513805425
18 4 19 0 2.489234513805425
18 3 20 0 2.489234513805425
11 3 22 2 2.489234513805425
21 4 22 0 2.489234513805425
21 3 23 0 2.489234513805425
11 4 25 2 2.489234513805425
24 4 25 0 2.489234513805425
24 3 26 0 2.489234513805425
27 2 28 0 2.5132741228718345
28 2 29 0 2.5132741228718345
29 2 30 0 2.5132741228718345
30 2 31 0 2.5132741228718345
31 2 32 0 2.5132741228718345
32 2 33 0 2.5132741228718345
33 2 34 0 2.5132741228718345
34 2 35 0 2.5132741228718345
35 2 36 0 2.5132741228718345
1 2 31 3 2.1243706856919419
12 2 31 1 2.6779450445889871
:dih
8
-5 3 4 2.9528821228062312
10 3 4 2.7767288254763101
-5 3 4 2.2231544665792648
10 4 4 2.5132741228718345
5 4 4 2.1243706856919419
25 3 5 2.489234513805425
5 4 5 2.6779450445889871
5 4 5 2.588018294692748
:vertices
103 68
-.5[-1/2] -.5[-1/2] 0[0]
-.5[-1/2] .5[1/2] 0[0]
.5[1/2] -.5[-1/2] 0[0]
.5[1/2] .5[1/2] 0[0]
1.36389209033985[(7/2+(-1/2)*sqrt(5))+(1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((-9/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] -3.4401003070317[(-1/2+(-1/4)*sqrt(3)+(-1/4)*sqrt(15))+(-3/16+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/32+(1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
1.4684205536075[(27/8+(-5/8)*sqrt(5))+(1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((-5/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] -2.44557841166343[(-1/2+(-1/8)*sqrt(3)+(-1/8)*sqrt(15))+(-3/16+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(5/32+(1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
1.5[3/2] -.5[-1/2] 0[0]
1.5[3/2] .5[1/2] 0[0]
1.77743754798245[(25/8+(-3/8)*sqrt(5))+(1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((-5/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] -1.49452189536827[(-1/2+(-1/8)*sqrt(3)+(-1/8)*sqrt(15))+(-1/4+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(5/32+(5/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
1.88196601125011[(3+(-1/2)*sqrt(5))+(1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((-1/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] -4.39115682332685[(-1/2+(-1/4)*sqrt(3)+(-1/4)*sqrt(15))+(-1/4+(-3/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/32+(-1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
2.19098300562505[(11/4+(-1/4)*sqrt(5))+(1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((-1/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] -3.4401003070317[(-1/2+(-1/4)*sqrt(3)+(-1/4)*sqrt(15))+(-3/16+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/32+(1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
2.19646111025678[(15/4+(-1/8)*sqrt(3)+(-1/4)*sqrt(5)+(-1/8)*sqrt(15))-1/8*sqrt(10-2*sqrt(5))] 2.3465280530275[(13/8+(1/8)*sqrt(5))+1/8*sqrt(10+2*sqrt(5))+(1/16+(-1/8)*sqrt(3)+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
2.2399264893299[(15/4+(-1/4)*sqrt(5))+(-1/8+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 2.14203952192021[(7/4+(-1/4)*sqrt(5))+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
2.27743754798245[(29/8+(-3/8)*sqrt(5))+(1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((-5/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] -3.0333636639559[(-1/2+(-1/8)*sqrt(3)+(-1/8)*sqrt(15))+(-3/16+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/32+(1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
2.5[5/2] -.5[-1/2] 0[0]
2.5[5/2] .5[1/2] 0[0]
2.52185239926619[(29/8+(-1/8)*sqrt(5))+((-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] -.707911690817759[(-1/2+(-1/8)*sqrt(3)+(1/8)*sqrt(15))-1/4*sqrt(10+2*sqrt(5))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
2.54894348370485[7/2+(-1/8+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 1.19098300562505[(7/4+(-1/4)*sqrt(5))] 0[0]
2.60319775333258[(15/4+(-1/4)*sqrt(5))-1/4*sqrt(10-2*sqrt(5))] 3.2600735106701[(7/4+(1/4)*sqrt(5))+1/8*sqrt(10+2*sqrt(5))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
2.69098300562505[(13/4+(-1/4)*sqrt(5))+(1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((-1/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] -4.97894207561933[(-1/2+(-1/4)*sqrt(3)+(-1/4)*sqrt(15))+(-1/4+(-3/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(-5/32+(-1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
2.77743754798245[(33/8+(-3/8)*sqrt(5))+(1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((-5/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] -1.49452189536827[(-1/2+(-1/8)*sqrt(3)+(-1/8)*sqrt(15))+(-3/16+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(9/32+(5/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
3.0864545423574[(31/8+(-1/8)*sqrt(5))+(-1/8)*sqrt(3)*sqrt(10-2*sqrt(5))] -2.44557841166343[(-1/2+(-1/8)*sqrt(3)+(-1/8)*sqrt(15))+(-1/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] 0[0]
3.19098300562505[(15/4+(-1/4)*sqrt(5))+(1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((-1/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] -3.4401003070317[(-1/2+(-1/4)*sqrt(3)+(-1/4)*sqrt(15))+(-3/16+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/32+(1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
3.19098300562505[(15/4+(-1/4)*sqrt(5))] -1.45105651629515[-1/2-1/4*sqrt(10+2*sqrt(5))] 0[0]
3.19098300562505[(15/4+(-1/4)*sqrt(5))] 2.45105651629515[3/2+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
3.29208830918224[(7/2+(-1/8)*sqrt(3)+(1/8)*sqrt(15))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] .52185239926619401[(13/8+(-1/8)*sqrt(5))+((-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0]
3.41221474770753[4-1/4*sqrt(10-2*sqrt(5))] 3.84785876296257[(7/4+(1/4)*sqrt(5))+1/8*sqrt(10+2*sqrt(5))+(5/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
3.5[7/2+(1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((-1/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] -4.39115682332685[(-1/2+(-1/4)*sqrt(3)+(-1/4)*sqrt(15))+(-3/16+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/32+(-3/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
3.5[7/2] -.5[-1/2] 0[0]
3.5[7/2] .5[1/2] 0[0]
3.5[7/2] 1.5[3/2] 0[0]
3.5932633569242[(4+(-1/8)*sqrt(3)+(-1/8)*sqrt(15))+1/8*sqrt(10-2*sqrt(5))] 3.95238722623023[(13/8+(1/8)*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8+(1/8)*sqrt(3))*sqrt(10-2*sqrt(5))] 0[0]
3.60452846326765[(27/8+(-1/8)*sqrt(5))+(1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((3/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] -5.38567871869513[(-1/2+(-3/8)*sqrt(3)+(-3/8)*sqrt(15))+(-3/16+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(-7/32+(-3/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
3.86011361198391[(31/8+(-3/8)*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))] -4.59906851414461[(-1/2+(-3/8)*sqrt(3)+(-1/8)*sqrt(15))+(-7/32+(-3/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(-7/32+(-5/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
4[4] -2.03884176858763[-1/2+(-1/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0]
4[4] 3.03884176858763[3/2+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] 0[0]
4.16913060635886[(29/8+(-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))] -3.64801199784946[(-1/2+(-3/8)*sqrt(3)+(-1/8)*sqrt(15))+(-3/16+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/32+(-1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
4.5[9/2] -.5[-1/2] 0[0]
4.5[9/2] .5[1/2] 0[0]
4.5[9/2] 1.5[3/2] 0[0]
4.58778525229247[4+1/4*sqrt(10-2*sqrt(5))] 3.84785876296257[(7/4+(1/4)*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] 0[0]
4.66913060635886[(33/8+(-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))] -5.18685376643709[(-1/2+(-3/8)*sqrt(3)+(-1/8)*sqrt(15))+(-9/32+(-5/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(-9/32+(-3/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
4.66913060635886[(33/8+(-1/8)*sqrt(5))+((1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] -2.78198659406502[(-1/2+(1/8)*sqrt(3)+(-1/8)*sqrt(15))+(-5/16+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] 0[0]
4.80901699437495[(17/4+(1/4)*sqrt(5))] -1.45105651629515[-1/2-1/4*sqrt(10+2*sqrt(5))] 0[0]
4.80901699437495[(17/4+(1/4)*sqrt(5))] 2.45105651629515[3/2+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] 0[0]
4.97814760073381[(31/8+(1/8)*sqrt(5))+((1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] -1.83093007776987[(-1/2+(1/8)*sqrt(3)+(-1/8)*sqrt(15))+(-1/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
5.16913060635886[(37/8+(-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))] -3.64801199784946[(-1/2+(-3/8)*sqrt(3)+(-1/8)*sqrt(15))+(-7/32+(-3/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/32+(-1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
5.36602540378444[(9/2+(1/2)*sqrt(3))] 1[1] 0[0]
5.39680224666742[(17/4+(1/4)*sqrt(5))+1/4*sqrt(10-2*sqrt(5))] 3.2600735106701[(7/4+(1/4)*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] 0[0]
5.45105651629515[9/2+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 1.19098300562505[(7/4+(-1/4)*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/4+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
5.47814760073381[(35/8+(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))] -4.59906851414461[(-1/2+(-3/8)*sqrt(3)+(-1/8)*sqrt(15))+(-7/32+(-3/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(-7/32+(-5/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
5.47814760073381[(35/8+(1/8)*sqrt(5))+((1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] -3.36977184635749[(-1/2+(1/8)*sqrt(3)+(-1/8)*sqrt(15))+(-1/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(-5/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
5.47814760073381[(35/8+(1/8)*sqrt(5))+((1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] -.96490467398542898[(-1/2+(5/8)*sqrt(3)+(-1/8)*sqrt(15))+(-1/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
5.5[11/2] -.5[-1/2] 0[0]
5.5[11/2] .5[1/2] 0[0]
5.55216181985234[(17/4+(-1/8)*sqrt(3)+(1/4)*sqrt(5)+(1/8)*sqrt(15))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 3.12018712265401[(13/8+(-1/8)*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/8+(1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0]
5.7600735106701[(17/4+(1/4)*sqrt(5))+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 2.14203952192021[(7/4+(-1/4)*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] 0[0]
5.97814760073381[(39/8+(1/8)*sqrt(5))+((1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] -1.83093007776987[(-1/2+(1/8)*sqrt(3)+(-1/8)*sqrt(15))+(-1/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
6.14727820709266[9/2+((3/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+((5/32)*sqrt(3)+(3/32)*sqrt(15))*sqrt(10-2*sqrt(5))] -3.85592368866722[(-1/2+(-1/2)*sqrt(3))+(-7/32+(-3/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(-5/32+(-3/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
6.28716459510875[(37/8+(3/8)*sqrt(5))+((1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] -2.78198659406502[(-1/2+(1/8)*sqrt(3)+(-1/8)*sqrt(15))+(-3/16+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
6.5[13/2] -.5[-1/2] 0[0]
6.5[13/2] .5[1/2] 0[0]
7.5[15/2] -.5[-1/2] 0[0]
7.5[15/2] .5[1/2] 0[0]
8.5[17/2] -.5[-1/2] 0[0]
8.5[17/2] .5[1/2] 0[0]
9.5[19/2] -.5[-1/2] 0[0]
9.5[19/2] .5[1/2] 0[0]
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:EOF
