:name icosahedron :number 4 :symbol {3,5} @I sub 5 @ :dual dodecahedron :sfaces 20 20{3} :svertices 12 12(@3 sup 5@) :net 20 3 3 0 5 6 3 5 11 12 3 1 6 7 3 6 12 13 3 2 7 8 3 7 13 14 3 3 8 9 3 8 14 15 3 4 9 10 3 9 15 16 3 12 6 5 3 17 12 11 3 13 7 6 3 18 13 12 3 14 8 7 3 19 14 13 3 15 9 8 3 20 15 14 3 16 10 9 3 21 16 15 :solid 20 3 3 31 32 33 3 32 26 30 3 31 33 29 3 33 30 28 3 31 29 25 3 29 28 23 3 31 25 27 3 25 23 22 3 31 27 32 3 27 22 26 3 30 33 32 3 24 30 26 3 28 29 33 3 24 28 30 3 23 25 29 3 24 23 28 3 22 27 25 3 24 22 23 3 26 32 27 3 24 26 22 :hinges 19 0 1 10 1 2.4118649973628269 10 2 1 2 2.4118649973628269 1 1 11 1 2.4118649973628269 2 1 12 1 2.4118649973628269 12 2 3 2 2.4118649973628269 3 1 13 1 2.4118649973628269 10 0 3 0 2.4118649973628269 4 1 14 1 2.4118649973628269 14 2 5 2 2.4118649973628269 5 1 15 1 2.4118649973628269 12 0 5 0 2.4118649973628269 6 1 16 1 2.4118649973628269 16 2 7 2 2.4118649973628269 7 1 17 1 2.4118649973628269 14 0 7 0 2.4118649973628269 8 1 18 1 2.4118649973628269 18 2 9 2 2.4118649973628269 9 1 19 1 2.4118649973628269 16 0 9 0 2.4118649973628269 :dih 1 30 3 3 2.4118649973628269 :vertices 34 22 -.577350269189626[(-1/3)*sqrt(3)] 0[0] 0[0] -.577350269189626[(-1/3)*sqrt(3)] 1[1] 0[0] -.577350269189626[(-1/3)*sqrt(3)] 2[2] 0[0] -.577350269189626[(-1/3)*sqrt(3)] 3[3] 0[0] -.577350269189626[(-1/3)*sqrt(3)] 4[4] 0[0] .288675134594813[(1/6)*sqrt(3)] -.5[-1/2] 0[0] .288675134594813[(1/6)*sqrt(3)] .5[1/2] 0[0] .288675134594813[(1/6)*sqrt(3)] 1.5[3/2] 0[0] .288675134594813[(1/6)*sqrt(3)] 2.5[5/2] 0[0] .288675134594813[(1/6)*sqrt(3)] 3.5[7/2] 0[0] .288675134594813[(1/6)*sqrt(3)] 4.5[9/2] 0[0] 1.15470053837925[(2/3)*sqrt(3)] -1[-1] 0[0] 1.15470053837925[(2/3)*sqrt(3)] 0[0] 0[0] 1.15470053837925[(2/3)*sqrt(3)] 1[1] 0[0] 1.15470053837925[(2/3)*sqrt(3)] 2[2] 0[0] 1.15470053837925[(2/3)*sqrt(3)] 3[3] 0[0] 1.15470053837925[(2/3)*sqrt(3)] 4[4] 0[0] 2.02072594216369[(7/6)*sqrt(3)] -.5[-1/2] 0[0] 2.02072594216369[(7/6)*sqrt(3)] .5[1/2] 0[0] 2.02072594216369[(7/6)*sqrt(3)] 1.5[3/2] 0[0] 2.02072594216369[(7/6)*sqrt(3)] 2.5[5/2] 0[0] 2.02072594216369[(7/6)*sqrt(3)] 3.5[7/2] 0[0] 4.5347306707864466 .45086650750727166 -2.7105927916411461 4.8699598980430714 -.13351918098297879 -3.4495885509528638 4.9390373174018747 -.43917147561223518 -2.4999544188142807 5.0464776897031958 .85054314428490783 -3.4711015520403509 5.1582473020808707 .35598734283537632 -1.9345612493631154 5.2246491039270289 1.1530748137194615 -2.5347631857738492 5.7006595858044515 -.58956856368085759 -3.1302815054715127 5.7670613876506104 .20751890720322767 -3.7304834418822456 5.8788310000282858 -.28703689424630494 -2.1939431392050111 5.9862713723296064 1.0026777256508387 -3.1650902724310798 6.0553487916884101 .69702543102158254 -2.2154561402924972 6.3905780189450343 .1126397425313317 -2.9544518996042161 :EOF