:name great icosahedron :number 8 :symbol {3,5} @I sub 5 @ :dual great stellated dodecahedron :sfaces 20 20{3} :svertices 12 12(@3 sup 5@) :net 20 3 3 0 5 6 3 5 11 12 3 1 6 7 3 6 12 13 3 2 7 8 3 7 13 14 3 3 8 9 3 8 14 15 3 4 9 10 3 9 15 16 3 12 6 5 3 17 12 11 3 13 7 6 3 18 13 12 3 14 8 7 3 19 14 13 3 15 9 8 3 20 15 14 3 16 10 9 3 21 16 15 :solid 20 3 3 23 30 27 3 30 22 29 3 23 27 33 3 27 29 24 3 23 33 26 3 33 24 25 3 23 26 31 3 26 25 28 3 23 31 30 3 31 28 22 3 29 27 30 3 32 29 22 3 24 33 27 3 32 24 29 3 25 26 33 3 32 25 24 3 28 31 26 3 32 28 25 3 22 30 31 3 32 22 28 :hinges 19 0 1 10 1 .72972765622696637 10 2 1 2 .72972765622696637 1 1 11 1 .72972765622696637 2 1 12 1 .72972765622696637 12 2 3 2 .72972765622696637 3 1 13 1 .72972765622696637 10 0 3 0 .72972765622696637 4 1 14 1 .72972765622696637 14 2 5 2 .72972765622696637 5 1 15 1 .72972765622696637 12 0 5 0 .72972765622696637 6 1 16 1 .72972765622696637 16 2 7 2 .72972765622696637 7 1 17 1 .72972765622696637 14 0 7 0 .72972765622696637 8 1 18 1 .72972765622696637 18 2 9 2 .72972765622696637 9 1 19 1 .72972765622696637 16 0 9 0 .72972765622696637 :vertices 34 22 -.57735026919[(-1/3)*sqrt(3)*1] 0[0] 0[0] -.57735026919[(-1/3)*sqrt(3)*1] 1[1] 0[0] -.57735026919[(-1/3)*sqrt(3)*1] 2[2*1] 0[0] -.57735026919[(-1/3)*sqrt(3)*1] 3[3*1] 0[0] -.57735026919[(-1/3)*sqrt(3)*1] 4[4*1] 0[0] .288675134595[(1/6)*sqrt(3)*1] -.5[(-1/2)*1] 0[0] .288675134595[(1/6)*sqrt(3)*1] .5[(1/2)*1] 0[0] .288675134595[(1/6)*sqrt(3)*1] 1.5[(3/2)*1] 0[0] .288675134595[(1/6)*sqrt(3)*1] 2.5[(5/2)*1] 0[0] .288675134595[(1/6)*sqrt(3)*1] 3.5[(7/2)*1] 0[0] .288675134595[(1/6)*sqrt(3)*1] 4.5[(9/2)*1] 0[0] 1.15470053838[(2/3)*sqrt(3)*1] -1[-1] 0[0] 1.15470053838[(2/3)*sqrt(3)*1] 0[0] 0[0] 1.15470053838[(2/3)*sqrt(3)*1] 1[1] 0[0] 1.15470053838[(2/3)*sqrt(3)*1] 2[2*1] 0[0] 1.15470053838[(2/3)*sqrt(3)*1] 3[3*1] 0[0] 1.15470053838[(2/3)*sqrt(3)*1] 4[4*1] 0[0] 2.02072594216[(7/6)*sqrt(3)*1] -.5[(-1/2)*1] 0[0] 2.02072594216[(7/6)*sqrt(3)*1] .5[(1/2)*1] 0[0] 2.02072594216[(7/6)*sqrt(3)*1] 1.5[(3/2)*1] 0[0] 2.02072594216[(7/6)*sqrt(3)*1] 2.5[(5/2)*1] 0[0] 2.02072594216[(7/6)*sqrt(3)*1] 3.5[(7/2)*1] 0[0] 4.7485764527817136 -2.4812731224455019 3.0771181606825634 4.8853547528119654 -2.6327646026538561 2.4937588894651101 4.9422175643694146 -3.052787784439757 2.9435512400831171 5.0614151028348219 -2.0853498938558936 2.7202669489060782 5.1534210646314585 -2.7649616780489478 3.4480462600854918 5.2270891947785048 -2.1670521796627975 3.3100489789839639 5.374733003003745 -3.0100800420316072 2.5041511316028102 5.4484011331505651 -2.4121705436472923 2.366153850501706 5.5404070949466702 -3.0917823278392786 3.0939331616815396 5.6596046334115073 -2.1243444372547793 2.8706488705050063 5.7164674449662185 -2.5443676190416691 3.3204412211188875 5.8532457449999143 -2.6958590992498812 2.7370819499049401 :EOF .