:name
gyroelongated pentagonal cupola (J24)
:number
68
:symbol
	@Q sub 5 @
:sfaces
32 25{3} 5{4} 1{5} 1{10}
:svertices
25 5(@3@.@4@.@5@.@4@) 10(@3 sup 3@.@10@) 10(@3 sup 4@.@4@)
:net
22 10
10 25 18 10 7 9 17 24 32 35 33
3 0 1 4
3 4 1 8
3 4 8 14
3 14 8 18
3 14 18 20
3 20 18 25
3 20 25 29
3 29 25 34
3 29 34 36
3 36 34 37
5 15 21 23 19 11
4 21 15 14 20
3 21 20 26
4 23 21 28 31
3 23 31 30
4 19 23 27 22
3 19 22 16
4 11 19 13 6
3 11 6 2
4 15 11 3 5
3 15 5 12
:solid
22 10
10 58 52 46 41 38 42 48 54 59 62
3 39 41 43
3 43 41 46
3 43 46 50
3 50 46 52
3 50 52 56
3 56 52 58
3 56 58 60
3 60 58 62
3 60 62 61
3 61 62 59
5 47 53 55 49 44
4 53 47 50 56
3 53 56 60
4 55 53 60 61
3 55 61 57
4 49 55 57 51
3 49 51 45
4 44 49 45 40
3 44 40 39
4 47 44 39 43
3 47 43 50
:hinges
21
1 1 2 0 2.7783286661990214
2 2 3 0 2.7783286661990214
3 1 4 0 2.7783286661990214
4 2 5 0 2.7783286661990214
5 1 6 0 2.7783286661990214
6 2 7 0 2.7783286661990214
7 1 8 0 2.7783286661990214
8 2 9 0 2.7783286661990214
9 1 10 0 2.7783286661990214
11 0 12 0 2.588018294692748
12 3 13 0 2.7767288254763101
11 1 14 0 2.588018294692748
14 3 15 0 2.7767288254763101
11 2 16 0 2.588018294692748
16 3 17 0 2.7767288254763101
11 3 18 0 2.588018294692748
18 3 19 0 2.7767288254763101
11 4 20 0 2.588018294692748
20 3 21 0 2.7767288254763101
0 0 6 1 1.6623675475907619
12 2 5 2 2.21594274038417
:dih
6
20 3 3 2.7783286661990214
-5 3 3 2.3147256873751301
10 3 4 2.7767288254763101
5 3 4 2.21594274038417
5 4 5 2.588018294692748
10 3 10 1.6623675475907619
:vertices
63 38
-.5[-1/2] .288675134594813[(1/6)*sqrt(3)] 0[0]
0[0] -.577350269189626[(-1/3)*sqrt(3)] 0[0]
.196461110256779[(7/4+(-1/8)*sqrt(3)+(-1/4)*sqrt(5)+(-1/8)*sqrt(15))-1/8*sqrt(10-2*sqrt(5))] 2.13520318762231[(9/8+(1/6)*sqrt(3)+(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]
.239926489329899[(7/4+(-1/4)*sqrt(5))+(-1/8+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 1.93071465651502[(5/4+(1/6)*sqrt(3)+(-1/4)*sqrt(5))+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
.5[1/2] .288675134594813[(1/6)*sqrt(3)] 0[0]
.548943483704846[3/2+(-1/8+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] .97965814021986499[(5/4+(1/6)*sqrt(3)+(-1/4)*sqrt(5))] 0[0]
.603197753332579[(7/4+(-1/4)*sqrt(5))-1/4*sqrt(10-2*sqrt(5))] 3.04874864526491[(5/4+(1/6)*sqrt(3)+(1/4)*sqrt(5))+1/8*sqrt(10+2*sqrt(5))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
.88196601125010501[(2+(-1/2)*sqrt(5))] -2.11619203777725[(-1/3)*sqrt(3)+(-1/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0]
1[1] -.577350269189626[(-1/3)*sqrt(3)] 0[0]
1.19098300562505[(7/4+(-1/4)*sqrt(5))] -3.06724855407241[(-1/3)*sqrt(3)+(-3/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0]
1.19098300562505[(7/4+(-1/4)*sqrt(5))] -1.1651355214821[(-1/3)*sqrt(3)+(1/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0]
1.19098300562505[(7/4+(-1/4)*sqrt(5))] 2.23973165088997[(1+(1/6)*sqrt(3))+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
1.29208830918224[(3/2+(-1/8)*sqrt(3)+(1/8)*sqrt(15))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] .310527533861007[(9/8+(1/6)*sqrt(3)+(-1/8)*sqrt(5))+((-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0]
1.41221474770753[2-1/4*sqrt(10-2*sqrt(5))] 3.63653389755739[(5/4+(1/6)*sqrt(3)+(1/4)*sqrt(5))+1/8*sqrt(10+2*sqrt(5))+(5/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0]
1.5[3/2] .288675134594813[(1/6)*sqrt(3)] 0[0]
1.5[3/2] 1.28867513459481[(1+(1/6)*sqrt(3))] 0[0]
1.5932633569242[(2+(-1/8)*sqrt(3)+(-1/8)*sqrt(15))+1/8*sqrt(10-2*sqrt(5))] 3.74106236082504[(9/8+(1/6)*sqrt(3)+(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]
2[2] -3.65503380636488[(-1/3)*sqrt(3)+(-1/4+(-1/4)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0]
2[2] -.577350269189626[(-1/3)*sqrt(3)] 0[0]
2[2] 2.82751690318244[(1+(1/6)*sqrt(3))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] 0[0]
2.5[5/2] .288675134594813[(1/6)*sqrt(3)] 0[0]
2.5[5/2] 1.28867513459481[(1+(1/6)*sqrt(3))] 0[0]
2.58778525229247[2+1/4*sqrt(10-2*sqrt(5))] 3.63653389755739[(5/4+(1/6)*sqrt(3)+(1/4)*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] 0[0]
2.80901699437495[(9/4+(1/4)*sqrt(5))] 2.23973165088997[(1+(1/6)*sqrt(3))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] 0[0]
3[3] -3.65503380636488[(-1/3)*sqrt(3)+(-1/4+(-1/4)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0]
3[3] -.577350269189626[(-1/3)*sqrt(3)] 0[0]
3.36602540378444[(5/2+(1/2)*sqrt(3))] .78867513459481301[(1/2+(1/6)*sqrt(3))] 0[0]
3.39680224666742[(9/4+(1/4)*sqrt(5))+1/4*sqrt(10-2*sqrt(5))] 3.04874864526491[(5/4+(1/6)*sqrt(3)+(1/4)*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] 0[0]
3.45105651629515[5/2+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] .97965814021986599[(5/4+(1/6)*sqrt(3)+(-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]
3.5[7/2] .288675134594813[(1/6)*sqrt(3)] 0[0]
3.55216181985234[(9/4+(-1/8)*sqrt(3)+(1/4)*sqrt(5)+(1/8)*sqrt(15))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 2.90886225724882[(9/8+(1/6)*sqrt(3)+(-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]
3.7600735106701[(9/4+(1/4)*sqrt(5))+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 1.93071465651502[(5/4+(1/6)*sqrt(3)+(-1/4)*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] 0[0]
3.80901699437495[(13/4+(1/4)*sqrt(5))] -3.06724855407241[(-1/3)*sqrt(3)+(-3/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0]
3.80901699437495[(13/4+(1/4)*sqrt(5))] -1.1651355214821[(-1/3)*sqrt(3)+(1/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0]
4[4] -.577350269189626[(-1/3)*sqrt(3)] 0[0]
4.11803398874989[(3+(1/2)*sqrt(5))] -2.11619203777725[(-1/3)*sqrt(3)+(-1/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0]
4.5[9/2] .288675134594813[(1/6)*sqrt(3)] 0[0]
5[5] -.577350269189626[(-1/3)*sqrt(3)] 0[0]
-.23895856396590426 3.9140445337385044 -4.7895239425648024
-.21939571912735266 3.0975639024609394 -4.2124813536729426
-.11237687579508462 4.0029298905647059 -3.8015563060581363
-.033503934677294868 3.0220329264922581 -5.1921449651677675
.17005801720729656 4.7441423299532118 -4.4105211918559537
.27842106452840401 2.3062237630785524 -4.5673887130117055
.51488502557165415 3.2643642247326805 -3.5544464836150243
.55860003923173657 4.6765030329379953 -3.4915737236853956
.70794521983087397 2.4088256238231242 -5.4645967136157531
1.0127018101051163 2.4730241405018288 -3.9093539646946531
1.0373153767964149 5.1952571709687506 -4.1999028819822959
1.1858619405984761 3.9379373671059612 -3.2444639012422826
1.1909243862836931 1.931174653388149 -4.7307161543862094
1.537244647270411 4.861001106596411 -3.4009360274814714
1.7021805234663604 2.3086469732010633 -5.5028118802959668
1.9913464181437952 2.6575222141602443 -3.8187162684907296
2.0315506804319015 5.095078520346693 -4.2381180486625079
2.0983652642850603 3.5628883787708792 -3.4077916104950884
2.1695689943223722 2.1156727270465643 -4.6400784581822858
2.4497479709569974 4.485952118261319 -3.5642637367342775
2.5694378830554788 2.7597618142166024 -5.2921935704223093
2.7729998349400693 4.4818712176775517 -4.5105697971104969
2.840545911280484 2.7892459907751656 -4.330096143687846
2.9475647597039476 3.694612298790766 -3.9191718022426563
2.9784544642286761 3.5898596104313114 -4.9131908197134598
:EOF

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