:name elongated pentagonal gyrobicupola (J39) :number 83 :symbol @gQ sub 5 @ :sfaces 32 10{3} 20{4} 2{5} :svertices 30 20(@3@.@4 sup 3@) 10(@3@.@4@.@5@.@4@) :net 32 5 5 19 30 32 24 12 4 30 19 18 29 3 30 29 34 4 32 30 37 44 3 32 44 41 4 24 32 35 31 3 24 31 21 4 12 24 15 11 3 12 11 6 4 19 12 7 10 3 19 10 14 5 38 27 25 33 45 4 27 38 39 28 3 27 28 23 4 25 27 20 13 3 25 13 16 4 33 25 22 26 3 33 26 36 4 45 33 42 46 3 45 46 51 4 38 45 50 47 3 38 47 43 4 1 0 2 3 4 3 2 4 5 4 5 4 8 9 4 9 8 17 18 4 18 17 28 29 4 29 28 39 40 4 40 39 48 49 4 49 48 52 53 4 53 52 54 55 4 55 54 56 57 :solid 32 5 5 64 69 77 78 70 4 69 64 58 62 3 69 62 71 4 77 69 71 79 3 77 79 84 4 78 77 84 86 3 78 86 82 4 70 78 82 73 3 70 73 65 4 64 70 65 60 3 64 60 58 5 75 67 68 76 81 4 67 75 72 63 3 67 63 59 4 68 67 59 61 3 68 61 66 4 76 68 66 74 3 76 74 83 4 81 76 83 87 3 81 87 85 4 75 81 85 80 3 75 80 72 4 82 83 74 73 4 73 74 66 65 4 65 66 61 60 4 60 61 59 58 4 58 59 63 62 4 62 63 72 71 4 71 72 80 79 4 79 80 85 84 4 84 85 87 86 4 86 87 83 82 :hinges 31 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 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 22 2 23 0 2.5132741228718345 23 2 24 0 2.5132741228718345 24 2 25 0 2.5132741228718345 25 2 26 0 2.5132741228718345 26 2 27 0 2.5132741228718345 27 2 28 0 2.5132741228718345 28 2 29 0 2.5132741228718345 29 2 30 0 2.5132741228718345 30 2 31 0 2.5132741228718345 1 2 26 3 2.1243706856919419 12 2 27 1 2.1243706856919419 :dih 5 20 3 4 2.7767288254763101 -10 3 4 2.2231544665792648 10 4 4 2.5132741228718345 10 4 4 2.1243706856919419 10 4 5 2.588018294692748 :vertices 88 58 -.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] 1.5[3/2] -.5[-1/2] 0[0] 1.5[3/2] .5[1/2] 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] 2.5[5/2] -.5[-1/2] 0[0] 2.5[5/2] .5[1/2] 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] 3.19098300562505[(15/4+(-1/4)*sqrt(5))] 2.45105651629515[3/2+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 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