:name biaugmented truncated cube (J67) :number 111 :symbol @Q sub 4 @ :sfaces 30 16{3} 10{4} 4{8} :svertices 32 8(@3@.@8 sup 2@) 8(@3@.@4 sup 3@) 16(@3@.@4@.@3@.@8@) :net 30 8 4 26 31 23 18 4 31 26 34 40 3 31 40 41 4 23 31 35 27 3 23 27 19 4 18 23 13 7 3 18 7 6 4 26 18 12 22 3 26 22 30 4 25 20 28 33 4 20 25 17 11 3 20 11 10 4 28 20 16 24 3 28 24 32 4 33 28 38 44 3 33 44 45 4 25 33 39 29 3 25 29 21 8 3 1 0 2 4 14 15 5 8 22 15 14 21 29 36 37 30 8 47 37 36 46 48 50 51 49 8 55 51 50 54 56 58 59 57 3 57 59 61 3 56 60 58 3 49 51 53 3 48 52 50 3 30 37 43 3 29 42 36 3 9 15 22 3 8 21 14 :solid 30 8 4 90 84 77 81 4 84 90 93 87 3 84 87 79 4 77 84 79 72 3 77 72 69 4 81 77 69 75 3 81 75 82 4 90 81 82 91 3 90 91 93 4 78 71 65 74 4 71 78 83 76 3 71 76 68 4 65 71 68 62 3 65 62 64 4 74 65 64 73 3 74 73 80 4 78 74 80 86 3 78 86 83 8 75 66 63 68 76 85 88 82 8 91 88 85 83 86 89 92 93 8 87 92 89 80 73 67 70 79 8 72 70 67 64 62 63 66 69 3 69 66 75 3 62 68 63 3 79 70 72 3 73 64 67 3 93 92 87 3 86 80 89 3 82 88 91 3 76 83 85 :hinges 29 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 0 10 0 2.3561944901923449 10 3 11 0 2.5261129449194059 9 1 12 0 2.3561944901923449 12 3 13 0 2.5261129449194059 9 2 14 0 2.3561944901923449 14 3 15 0 2.5261129449194059 9 3 16 0 2.3561944901923449 16 3 17 0 2.5261129449194059 18 5 19 1 1.5707963267948966 19 5 20 1 1.5707963267948966 20 5 21 1 1.5707963267948966 8 1 19 7 2.5261129449194059 17 1 19 3 2.5261129449194059 22 0 21 6 2.1862760354652839 23 2 21 4 2.1862760354652839 24 0 20 6 2.1862760354652839 25 2 20 4 2.1862760354652839 26 0 19 6 2.1862760354652839 27 2 19 4 2.1862760354652839 28 1 19 0 2.1862760354652839 29 1 19 2 2.1862760354652839 :dih 6 -8 3 4 2.9716741988627323 16 3 4 2.5261129449194059 8 4 4 2.3561944901923449 8 3 8 2.5261129449194059 16 3 8 2.1862760354652839 4 8 8 1.5707963267948966 :vertices 94 62 -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))] -3.43915758875542[(-1+(-1/2)*sqrt(2)-sqrt(3))] 0[0] 1.04818815858866[(1/2+sqrt(2)+(-1/2)*sqrt(3))] -2.43915758875542[((-1/2)*sqrt(2)-sqrt(3))] 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))] -.5[-1/2] 0[0] 1.20710678118655[(1/2+(1/2)*sqrt(2))] .5[1/2] 0[0] 1.41421356237309[sqrt(2)] -3.80518299253986[(-1/2+(-1/2)*sqrt(2)+(-3/2)*sqrt(3))] 0[0] 1.54818815858866[(1+sqrt(2)+(-1/2)*sqrt(3))] -1.57313218497099[((-1/2)*sqrt(2)+(-1/2)*sqrt(3))] 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))] -2.93915758875542[(-1/2+(-1/2)*sqrt(2)-sqrt(3))] 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))] 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1.57313218497099[((1/2)*sqrt(2)+(1/2)*sqrt(3))] 0[0] 3.41421356237309[(2+sqrt(2))] 3.80518299253986[(1/2+(1/2)*sqrt(2)+(3/2)*sqrt(3))] 0[0] 3.62132034355964[(3/2+(3/2)*sqrt(2))] -.5[-1/2] 0[0] 3.62132034355964[(3/2+(3/2)*sqrt(2))] .5[1/2] 0[0] 3.64626436994197[(1/2+sqrt(2)+sqrt(3))] -3.93915758875542[(-3/2+(-1/2)*sqrt(2)-sqrt(3))] 0[0] 3.78023896615753[(3/2+sqrt(2)+(1/2)*sqrt(3))] -1.70710678118655[(-1+(-1/2)*sqrt(2))] 0[0] 3.78023896615753[(3/2+sqrt(2)+(1/2)*sqrt(3))] 2.43915758875542[((1/2)*sqrt(2)+sqrt(3))] 0[0] 3.78023896615753[(3/2+sqrt(2)+(1/2)*sqrt(3))] 3.43915758875542[(1+(1/2)*sqrt(2)+sqrt(3))] 0[0] 3.88013938866216[(3/2+(5/4)*sqrt(2)+(1/4)*sqrt(6))] -1.46592582628907[(-1/2+(-1/4)*sqrt(2)+(-1/4)*sqrt(6))] 0[0] 3.88013938866216[(3/2+(5/4)*sqrt(2)+(1/4)*sqrt(6))] 1.46592582628907[(1/2+(1/4)*sqrt(2)+(1/4)*sqrt(6))] 0[0] 4.14626436994197[(1+sqrt(2)+sqrt(3))] -3.07313218497099[(-3/2+(-1/2)*sqrt(2)+(-1/2)*sqrt(3))] 0[0] 4.14626436994197[(1+sqrt(2)+sqrt(3))] 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