:name augmented truncated cube (J66) :number 110 :symbol @Q sub 4 @ :sfaces 22 12{3} 5{4} 5{8} :svertices 28 16(@3@.@8 sup 2@) 4(@3@.@4 sup 3@) 8(@3@.@4@.@3@.@8@) :net 22 8 4 22 27 21 16 4 27 22 28 34 3 27 34 35 4 21 27 29 23 3 21 23 17 4 16 21 11 7 3 16 7 6 4 22 16 10 20 3 22 20 26 8 3 1 0 2 4 14 15 5 8 20 15 14 19 25 32 33 26 8 39 33 32 38 40 42 43 41 8 47 43 42 46 48 50 51 49 8 19 13 12 18 24 30 31 25 3 49 51 53 3 48 52 50 3 41 43 45 3 40 44 42 3 26 33 37 3 25 36 32 3 9 15 20 3 8 19 14 :solid 22 8 4 79 78 80 81 4 78 79 72 70 3 78 70 71 4 80 78 71 73 3 80 73 75 4 81 80 75 77 3 81 77 76 4 79 81 76 74 3 79 74 72 8 77 69 65 61 60 64 68 76 8 74 68 64 58 56 62 66 72 8 70 66 62 54 55 63 67 71 8 73 67 63 57 59 65 69 75 8 58 60 61 59 57 55 54 56 3 75 69 77 3 59 61 65 3 71 67 73 3 55 57 63 3 72 66 70 3 56 54 62 3 76 68 74 3 60 58 64 :hinges 21 0 0 1 0 2.3561944901923449 1 3 2 0 2.5261129449194059 0 1 3 0 2.3561944901923449 3 3 4 0 2.5261129449194059 0 2 5 0 2.3561944901923449 5 3 6 0 2.5261129449194059 0 3 7 0 2.3561944901923449 7 3 8 0 2.5261129449194059 9 5 10 1 1.5707963267948966 10 5 11 1 1.5707963267948966 11 5 12 1 1.5707963267948966 8 1 10 7 2.5261129449194059 13 7 10 3 1.5707963267948966 14 0 12 6 2.1862760354652839 15 2 12 4 2.1862760354652839 16 0 11 6 2.1862760354652839 17 2 11 4 2.1862760354652839 18 0 10 6 2.1862760354652839 19 2 10 4 2.1862760354652839 20 1 10 0 2.1862760354652839 21 1 10 2 2.1862760354652839 :dih 6 -4 3 4 2.9716741988627323 8 3 4 2.5261129449194059 4 4 4 2.3561944901923449 4 3 8 2.5261129449194059 20 3 8 2.1862760354652839 8 8 8 1.5707963267948966 :vertices 82 54 -1.20710678118655[(-1/2+(-1/2)*sqrt(2))] -.5[-1/2] 0[0] -1.20710678118655[(-1/2+(-1/2)*sqrt(2))] .5[1/2] 0[0] -.5[-1/2] -1.20710678118655[(-1/2+(-1/2)*sqrt(2))] 0[0] -.5[-1/2] 1.20710678118655[(1/2+(1/2)*sqrt(2))] 0[0] .5[1/2] -1.20710678118655[(-1/2+(-1/2)*sqrt(2))] 0[0] .5[1/2] 1.20710678118655[(1/2+(1/2)*sqrt(2))] 0[0] .682162754804218[(1+sqrt(2)-sqrt(3))] 2.07313218497099[(1/2+(1/2)*sqrt(2)+(1/2)*sqrt(3))] 0[0] .682162754804218[(1+sqrt(2)-sqrt(3))] 3.07313218497099[(3/2+(1/2)*sqrt(2)+(1/2)*sqrt(3))] 0[0] .94828773608402701[(1/2+(3/4)*sqrt(2)+(-1/4)*sqrt(6))] -1.46592582628907[(-1/2+(-1/4)*sqrt(2)+(-1/4)*sqrt(6))] 0[0] .94828773608402701[(1/2+(3/4)*sqrt(2)+(-1/4)*sqrt(6))] 1.46592582628907[(1/2+(1/4)*sqrt(2)+(1/4)*sqrt(6))] 0[0] 1.04818815858866[(1/2+sqrt(2)+(-1/2)*sqrt(3))] 1.70710678118655[(1+(1/2)*sqrt(2))] 0[0] 1.18216275480422[(3/2+sqrt(2)-sqrt(3))] 3.93915758875542[(3/2+(1/2)*sqrt(2)+sqrt(3))] 0[0] 1.20710678118655[(1/2+(1/2)*sqrt(2))] -2.91421356237309[(-3/2-sqrt(2))] 0[0] 1.20710678118655[(1/2+(1/2)*sqrt(2))] -1.91421356237309[(-1/2-sqrt(2))] 0[0] 1.20710678118655[(1/2+(1/2)*sqrt(2))] -.5[-1/2] 0[0] 1.20710678118655[(1/2+(1/2)*sqrt(2))] .5[1/2] 0[0] 1.54818815858866[(1+sqrt(2)+(-1/2)*sqrt(3))] 2.57313218497099[(1+(1/2)*sqrt(2)+(1/2)*sqrt(3))] 0[0] 1.54818815858866[(1+sqrt(2)+(-1/2)*sqrt(3))] 4.30518299253986[(1+(1/2)*sqrt(2)+(3/2)*sqrt(3))] 0[0] 1.91421356237309[(1/2+sqrt(2))] -3.62132034355964[(-3/2+(-3/2)*sqrt(2))] 0[0] 1.91421356237309[(1/2+sqrt(2))] -1.20710678118655[(-1/2+(-1/2)*sqrt(2))] 0[0] 1.91421356237309[(1/2+sqrt(2))] 1.20710678118655[(1/2+(1/2)*sqrt(2))] 0[0] 2.04818815858866[(3/2+sqrt(2)+(-1/2)*sqrt(3))] 3.43915758875542[(1+(1/2)*sqrt(2)+sqrt(3))] 0[0] 2.41421356237309[(1+sqrt(2))] 2.07313218497099[(1/2+(1/2)*sqrt(2)+(1/2)*sqrt(3))] 0[0] 2.54818815858866[(2+sqrt(2)+(-1/2)*sqrt(3))] 4.30518299253986[(1+(1/2)*sqrt(2)+(3/2)*sqrt(3))] 0[0] 2.91421356237309[(3/2+sqrt(2))] -3.62132034355964[(-3/2+(-3/2)*sqrt(2))] 0[0] 2.91421356237309[(3/2+sqrt(2))] -1.20710678118655[(-1/2+(-1/2)*sqrt(2))] 0[0] 2.91421356237309[(3/2+sqrt(2))] 1.20710678118655[(1/2+(1/2)*sqrt(2))] 0[0] 2.91421356237309[(3/2+sqrt(2))] 2.93915758875542[(1/2+(1/2)*sqrt(2)+sqrt(3))] 0[0] 3.28023896615753[(1+sqrt(2)+(1/2)*sqrt(3))] 1.57313218497099[((1/2)*sqrt(2)+(1/2)*sqrt(3))] 0[0] 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5.32842712474619[(5/2+2*sqrt(2))] 1.20710678118655[(1/2+(1/2)*sqrt(2))] 0[0] 6.03553390593274[(5/2+(5/2)*sqrt(2))] -.5[-1/2] 0[0] 6.03553390593274[(5/2+(5/2)*sqrt(2))] .5[1/2] 0[0] 6.29435295103526[(5/2+(9/4)*sqrt(2)+(1/4)*sqrt(6))] -1.46592582628907[(-1/2+(-1/4)*sqrt(2)+(-1/4)*sqrt(6))] 0[0] 6.29435295103526[(5/2+(9/4)*sqrt(2)+(1/4)*sqrt(6))] 1.46592582628907[(1/2+(1/4)*sqrt(2)+(1/4)*sqrt(6))] 0[0] 6.74264068711928[(5/2+3*sqrt(2))] -1.20710678118655[(-1/2+(-1/2)*sqrt(2))] 0[0] 6.74264068711928[(5/2+3*sqrt(2))] 1.20710678118655[(1/2+(1/2)*sqrt(2))] 0[0] 7.74264068711928[(7/2+3*sqrt(2))] -1.20710678118655[(-1/2+(-1/2)*sqrt(2))] 0[0] 7.74264068711928[(7/2+3*sqrt(2))] 1.20710678118655[(1/2+(1/2)*sqrt(2))] 0[0] 8.44974746830583[(7/2+(7/2)*sqrt(2))] -.5[-1/2] 0[0] 8.44974746830583[(7/2+(7/2)*sqrt(2))] .5[1/2] 0[0] 8.7085665134083501[(7/2+(13/4)*sqrt(2)+(1/4)*sqrt(6))] -1.46592582628907[(-1/2+(-1/4)*sqrt(2)+(-1/4)*sqrt(6))] 0[0] 8.7085665134083501[(7/2+(13/4)*sqrt(2)+(1/4)*sqrt(6))] 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