:name metagyrate diminished rhombicosidodecahedron (J78) :number 122 :symbol @m sub 0 @ :sfaces 52 15{3} 25{4} 11{5} 1{10} :svertices 55 10(@4@.@5@.@10@) 10(@3@.@4 sup 2@.@5@) 35(@3@.@4@.@5@.@4@) :net 52 10 4 10 7 13 16 3 16 13 20 4 13 12 19 20 5 4 0 3 12 13 3 12 15 19 4 19 15 24 28 4 6 9 15 12 3 6 2 9 4 2 1 8 9 5 9 8 17 21 18 3 1 5 8 4 8 5 11 14 4 32 29 36 39 3 39 36 44 4 36 35 43 44 5 26 22 25 35 36 3 35 38 43 4 43 38 49 53 4 28 31 38 35 3 28 24 31 4 24 23 30 31 5 31 30 40 45 41 3 23 27 30 4 30 27 34 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 33 32 39 47 42 5 94 91 93 100 101 :solid 52 10 4 139 129 127 137 3 137 127 134 4 127 118 124 134 5 129 120 112 118 127 3 118 114 124 4 124 114 119 128 4 112 108 114 118 3 112 109 108 4 109 111 110 108 5 108 110 115 119 114 3 111 113 110 4 110 113 121 115 4 137 134 143 148 3 148 143 152 4 143 138 149 152 5 134 124 128 138 143 3 138 140 149 4 149 140 144 153 4 128 130 140 138 3 128 119 130 4 119 115 125 130 5 130 125 135 144 140 3 115 121 125 4 125 121 131 135 4 148 152 159 157 3 157 159 160 4 159 161 162 160 5 152 149 153 161 159 3 153 156 161 4 161 156 158 162 4 144 145 156 153 3 144 135 145 4 135 131 141 145 5 145 141 147 158 156 3 131 133 141 4 141 133 136 147 4 157 160 154 150 10 150 154 151 142 132 122 116 120 129 139 5 160 162 155 151 154 4 155 146 142 151 3 162 158 155 4 158 147 146 155 5 146 136 126 132 142 3 147 136 146 4 136 133 123 126 4 120 116 109 112 4 132 126 117 122 5 122 117 111 109 116 3 126 123 117 4 117 123 113 111 5 139 137 148 157 150 5 123 133 131 121 113 :hinges 51 0 2 1 0 2.7767288254763101 1 1 2 3 2.7767288254763101 3 3 2 0 2.588018294692748 4 2 2 1 2.7767288254763101 4 1 5 0 2.7767288254763101 4 0 6 2 2.7767288254763101 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 16 1 17 0 2.7767288254763101 16 0 18 2 2.7767288254763101 18 0 19 2 2.7767288254763101 19 1 20 3 2.7767288254763101 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 12 3 2.588018294692748 51 4 49 1 2.588018294692748 :dih 6 40 3 4 2.7767288254763101 5 4 4 2.6779450445889871 5 3 5 2.6868020755800709 45 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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0[0] .5[1/2] -4.23205080756888[(-5/2-sqrt(3))] 0[0] .5[1/2] -3.23205080756888[(-3/2-sqrt(3))] 0[0] .5[1/2] -1.5[-3/2] 0[0] .5[1/2] -.5[-1/2] 0[0] .5[1/2] .5[1/2] 0[0] .582676064001459[-3/4+((3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+(1/16)*sqrt(3)*sqrt(10-2*sqrt(5))] -2.02961722138284[(-3/2+(-3/4)*sqrt(3))+(3/32+(1/32)*sqrt(5))*sqrt(10+2*sqrt(5))+1/16*sqrt(10-2*sqrt(5))] 0[0] .753903206835072[(1/8+sqrt(3)+(-1/8)*sqrt(5))+((-1/16)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+((-7/64)*sqrt(3)+(-3/64)*sqrt(15))*sqrt(10-2*sqrt(5))] .158113712966679[(-1/2+(3/8)*sqrt(3)+(1/8)*sqrt(15))+(-1/16+(1/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(-7/64+(-3/64)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 1[1] -2.36602540378444[(-3/2+(-1/2)*sqrt(3))] 0[0] 1.25390320683507[(5/8+sqrt(3)+(-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))] 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1.23766672084567[(-1/2+(1/4)*sqrt(15))+(1/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 3.40486717237207[(1+(1/2)*sqrt(3))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] -2.36602540378444[(-3/2+(-1/2)*sqrt(3))] 0[0] 3.64559626521148[(9/8+sqrt(3)+(1/8)*sqrt(5))+((-1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))] -1.77276204686024[(-1/2+(-5/8)*sqrt(3)+(-1/8)*sqrt(15))+(-1/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 3.85350795602924[(9/8+(9/8)*sqrt(3)+(1/8)*sqrt(5)+(-1/8)*sqrt(15))+(1/8+(-1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))] -2.75090964759404[(-3/8+(-5/8)*sqrt(3)+(-1/8)*sqrt(5)+(-1/8)*sqrt(15))+(-1/16+(-1/8)*sqrt(3)+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 3.93485331009562[(5/4+(9/8)*sqrt(3)+(-1/8)*sqrt(15))+(3/16+(1/16)*sqrt(3)+(-1/16)*sqrt(5)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] -4.30307146744639[(-5/8+(-1/2)*sqrt(3)+(-3/8)*sqrt(5)+(-1/4)*sqrt(15))+(-3/16+(-1/8)*sqrt(3)+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 3.98385747792919[(3/8+sqrt(3)+(-1/8)*sqrt(5))+((3/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))] 1.44557841166343[(-1/2+(1/8)*sqrt(3)+(1/8)*sqrt(15))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 4.5226385623881[(5/4+(9/8)*sqrt(3)+(-1/8)*sqrt(15))+(3/16+(1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))+(-1/32+(-1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] -5.11208846182133[(-7/8+(-1/2)*sqrt(3)+(-5/8)*sqrt(5)+(-1/4)*sqrt(15))+(-3/16+(-1/8)*sqrt(3)+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 4.5226385623881[(5/4+(9/8)*sqrt(3)+(-1/8)*sqrt(15))+(1/8+(1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))] -3.49405447307144[(-3/8+(-1/2)*sqrt(3)+(-1/8)*sqrt(5)+(-1/4)*sqrt(15))+(-3/16+(-1/8)*sqrt(3)+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 4.62374386594528[(1+sqrt(3)+(1/4)*sqrt(5))+((1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))] -1.56485035604248[(-1/2+(-1/2)*sqrt(3)+(-1/4)*sqrt(15))+(1/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 4.83165555676304[(1+(9/8)*sqrt(3)+(1/4)*sqrt(5)+(-1/8)*sqrt(15))+(1/8+(1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))] -2.54299795677629[(-3/8+(-1/2)*sqrt(3)+(-1/8)*sqrt(5)+(-1/4)*sqrt(15))+(1/16+(-1/8)*sqrt(3)+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 4.8974029355718[(1/2+sqrt(3))+((1/8)*sqrt(3)+(1/8)*sqrt(15))*sqrt(10+2*sqrt(5))] 1.03884176858763[-1/2+(1/8+(1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 5.29287447230414[(9/8+sqrt(3)+(1/8)*sqrt(5))+((3/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))] -.821705530565085[(-1/2+(-5/8)*sqrt(3)+(-1/8)*sqrt(15))+(3/16+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 5.3974029355718[(1+sqrt(3))+((1/8)*sqrt(3)+(1/8)*sqrt(15))*sqrt(10+2*sqrt(5))] .172816364803188[(-1/2+(-1/2)*sqrt(3))+(1/8+(1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 5.47369507868325[(5/4+(9/8)*sqrt(3)+(-1/8)*sqrt(15))+(1/4+(1/16)*sqrt(3)+(1/16)*sqrt(5)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))+(-3/32+(1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] -4.80307146744639[(-9/8+(-1/2)*sqrt(3)+(-3/8)*sqrt(5)+(-1/4)*sqrt(15))+(-3/16+(-1/8)*sqrt(3)+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 5.47369507868325[(5/4+(9/8)*sqrt(3)+(-1/8)*sqrt(15))+(3/8+(1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))] -3.80307146744639[(-1/8+(-1/2)*sqrt(3)+(-3/8)*sqrt(5)+(-1/4)*sqrt(15))+(-3/16+(-1/8)*sqrt(3)+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 5.48976926972972[(1+(3/2)*sqrt(3)+(1/4)*sqrt(5))+(1/64+(1/16)*sqrt(3)+(-1/64)*sqrt(5)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))+1/32*sqrt(10-2*sqrt(5))] -1.06485035604248[((-1/2)*sqrt(3)+(-1/4)*sqrt(15))+(1/16+(-1/64)*sqrt(3)+(1/16)*sqrt(5)+(1/64)*sqrt(15))*sqrt(10+2*sqrt(5))+(-1/32)*sqrt(3)*sqrt(10-2*sqrt(5))] 0[0] 5.7827120730582[(1+(9/8)*sqrt(3)+(1/4)*sqrt(5)+(-1/8)*sqrt(15))+(3/8+(1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))] -2.85201495115123[(-1/8+(-1/2)*sqrt(3)+(-3/8)*sqrt(5)+(-1/4)*sqrt(15))+(1/16+(-1/8)*sqrt(3)+(1/16)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 5.82617745213132[(1+(5/4)*sqrt(3)+(1/4)*sqrt(5))+(7/64+(1/16)*sqrt(3)+(3/64)*sqrt(5)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))+(1/64+(-1/64)*sqrt(5))*sqrt(10-2*sqrt(5))] -2.64752642004394[(-1/4+(-1/2)*sqrt(3)+(-1/4)*sqrt(15))+(1/16+(-7/64)*sqrt(3)+(1/16)*sqrt(5)+(-3/64)*sqrt(15))*sqrt(10+2*sqrt(5))+((-1/64)*sqrt(3)+(1/64)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0] 6.23291409520712[(1+(11/8)*sqrt(3)+(1/4)*sqrt(5)+(1/8)*sqrt(15))+(5/64+(1/16)*sqrt(3)+(1/64)*sqrt(5)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))+(-1/64+(1/64)*sqrt(5))*sqrt(10-2*sqrt(5))] -1.73398096240134[(-1/8+(-1/2)*sqrt(3)+(1/8)*sqrt(5)+(-1/4)*sqrt(15))+(1/16+(-5/64)*sqrt(3)+(1/16)*sqrt(5)+(-1/64)*sqrt(15))*sqrt(10+2*sqrt(5))+((1/64)*sqrt(3)+(-1/64)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0] 6.28739636767242[(9/8+(9/8)*sqrt(3)+(1/8)*sqrt(5)+(1/8)*sqrt(15))+(-1/16+(3/16)*sqrt(3)+(1/16)*sqrt(5)+(1/16)*sqrt(15))*sqrt(10+2*sqrt(5))] 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