:name bigyrate diminished rhombicosidodecahedron (J79) :number 123 :symbol g^2Q5^-1E5 :sfaces 52 15{3} 25{4} 11{5} 1{10} :svertices 55 10(@4@.@5@.@10@) 20(@3@.@4 sup 2@.@5@) 25(@3@.@4@.@5@.@4@) :net 52 10 4 33 24 23 32 3 11 10 16 4 10 13 21 16 5 4 0 3 10 11 3 13 20 21 4 21 20 29 30 4 6 8 13 10 3 6 2 8 4 2 1 7 8 5 8 7 14 17 15 3 1 5 7 4 7 5 9 12 4 23 22 31 32 3 32 31 39 4 31 36 44 39 5 25 18 27 36 31 3 36 43 44 4 43 38 49 53 4 30 38 43 36 3 30 29 38 4 20 19 28 29 5 29 28 40 45 41 3 19 26 28 4 28 26 35 37 4 56 54 62 64 3 64 62 71 4 62 61 70 71 5 51 46 50 61 62 3 53 60 61 4 61 60 69 70 4 49 55 60 53 3 49 48 55 4 48 52 59 55 5 55 59 65 72 63 3 52 58 59 4 59 58 67 68 4 82 78 83 87 10 87 83 81 84 89 95 98 99 97 92 5 77 73 75 81 83 4 76 80 84 81 3 70 69 76 4 69 74 80 76 5 80 79 85 88 86 3 74 79 80 4 67 58 57 66 4 99 98 106 107 4 89 90 96 95 5 95 96 104 105 102 3 90 94 96 4 96 94 101 103 5 34 32 39 47 42 5 94 91 93 100 101 :solid 52 10 4 108 110 115 112 3 115 125 124 4 125 138 136 124 5 110 117 126 125 115 3 138 149 136 4 136 149 152 142 4 126 139 138 125 3 126 133 139 4 133 145 150 139 5 139 150 158 149 138 3 145 155 150 4 150 155 161 158 4 115 124 119 112 3 112 119 114 4 119 131 123 114 5 124 136 142 131 119 3 131 135 123 4 135 148 153 143 4 142 148 135 131 3 142 152 148 4 149 158 159 152 5 152 159 160 153 148 3 158 161 159 4 159 161 162 160 4 114 123 120 113 3 113 120 116 4 120 132 127 116 5 123 135 143 132 120 3 143 144 132 4 132 144 137 127 4 153 154 144 143 3 153 160 154 4 160 162 157 154 5 154 157 147 137 144 3 162 156 157 4 157 156 146 147 4 113 116 111 109 10 109 111 118 122 130 129 121 117 110 108 5 116 127 128 118 111 4 128 134 122 118 3 127 137 128 4 137 147 134 128 5 134 146 141 130 122 3 147 146 134 4 146 156 151 141 4 117 121 133 126 4 130 141 140 129 5 129 140 145 133 121 3 141 151 140 4 140 151 155 145 5 108 112 114 113 109 5 151 156 162 161 155 :hinges 51 0 2 12 3 2.6779450445889871 1 1 2 3 2.7767288254763101 3 3 1 0 2.6868020755800709 4 2 2 1 2.7767288254763101 4 1 5 0 2.7767288254763101 2 0 6 2 2.6779450445889871 6 0 7 2 2.7767288254763101 7 1 8 3 2.7767288254763101 9 0 8 2 2.588018294692748 10 2 8 1 2.7767288254763101 10 1 11 0 2.7767288254763101 12 2 13 0 2.7767288254763101 13 1 14 3 2.7767288254763101 15 3 14 0 2.588018294692748 16 2 14 1 2.7767288254763101 18 1 17 0 2.6779450445889871 16 0 18 2 2.7767288254763101 18 0 19 2 2.7767288254763101 5 1 20 3 2.6779450445889871 21 0 20 2 2.588018294692748 22 2 20 1 2.7767288254763101 22 1 23 0 2.7767288254763101 19 0 5 2 2.7767288254763101 24 2 25 0 2.7767288254763101 25 1 26 3 2.7767288254763101 27 3 26 0 2.588018294692748 29 3 26 1 2.6779450445889871 28 1 29 0 2.7767288254763101 28 0 30 2 2.7767288254763101 30 0 31 2 2.7767288254763101 31 1 32 3 2.7767288254763101 33 0 32 2 2.588018294692748 34 2 32 1 2.7767288254763101 34 1 35 0 2.7767288254763101 30 3 17 2 2.6779450445889871 36 2 37 0 2.1243706856919419 38 3 37 1 2.0344439357957027 40 0 29 2 2.7767288254763101 37 2 39 2 2.1243706856919419 39 0 41 2 2.6779450445889871 40 1 41 3 2.7767288254763101 42 0 43 1 2.6868020755800709 43 2 41 1 2.7767288254763101 35 1 44 0 2.6779450445889871 37 6 45 0 2.1243706856919419 37 4 46 3 2.1243706856919419 47 0 46 2 2.588018294692748 48 2 46 1 2.7767288254763101 48 1 49 0 2.7767288254763101 50 1 13 2 2.6868020755800709 51 4 49 1 2.588018294692748 :dih 6 35 3 4 2.7767288254763101 10 4 4 2.6779450445889871 10 3 5 2.6868020755800709 40 4 5 2.588018294692748 5 4 10 2.1243706856919419 5 5 10 2.0344439357957027 :vertices 163 108 -7.5029433837253799[(-5/2-2*sqrt(3))+(1/16+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/4+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 0[0] -7.33012701892219[(-3+(-5/2)*sqrt(3))] -2.86602540378444[(-2+(-1/2)*sqrt(3))] 0[0] -7.33012701892219[(-3+(-5/2)*sqrt(3))] -1.86602540378444[(-1+(-1/2)*sqrt(3))] 0[0] -6.91515813143291[(-5/2-2*sqrt(3))+(-1/8+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] -.80901699437494701[(-1/4+(-1/4)*sqrt(5))] 0[0] 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