:name great stellated dodecahedron :number 7 :symbol {5,3} @D sub 5 @ :dual great icosahedron :sfaces 12 20{5} :svertices 20 12(@5 sup 3@) :net 12 5 5 8 29 17 14 30 5 29 8 20 23 6 5 17 29 31 15 35 5 14 17 2 25 3 5 30 14 34 16 28 5 8 30 9 22 24 5 27 6 18 21 5 5 6 27 15 12 29 5 18 6 4 20 0 5 21 18 33 10 32 5 5 21 1 19 7 5 27 5 26 13 11 :solid 12 5 5 49 48 45 50 44 5 48 49 37 55 38 5 45 48 38 51 39 5 50 45 39 54 36 5 44 50 36 53 40 5 49 44 40 52 37 5 51 38 55 41 47 5 38 51 39 45 48 5 55 38 48 49 37 5 41 55 37 52 46 5 47 41 46 43 42 5 51 47 42 54 39 :hinges 11 0 0 1 0 1.1071487177940905 0 1 2 0 1.1071487177940905 0 2 3 0 1.1071487177940905 0 3 4 0 1.1071487177940905 0 4 5 0 1.1071487177940905 6 0 7 0 1.1071487177940905 6 1 8 0 1.1071487177940905 6 2 9 0 1.1071487177940905 6 3 10 0 1.1071487177940905 6 4 11 0 1.1071487177940905 7 4 1 4 1.1071487177940905 :vertices 56 36 -.88900237612200002[((-7/16)*1+(9/80)*sqrt(5))*sqrt(10+2*sqrt(5))+((1/16)*1+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -1.11803398875[(-1/2)*sqrt(5)*1] 0[0] -.88900237612200002[((-1/2)*1+(7/40)*sqrt(5))*sqrt(10+2*sqrt(5))+((-1/16)*1+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -.7360679775[((3/2)*1-sqrt(5))*1] 0[0] -.750245100409[((3/8)*1+(-1/5)*sqrt(5))*sqrt(10+2*sqrt(5))+((-1/16)*1+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -.309016994375[((1/4)*1+(-1/4)*sqrt(5))*1] 0[0] -.750245100409[((3/16)*1+(-11/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/8)*1*sqrt(10-2*sqrt(5))] .309016994375[((-1/4)*1+(1/4)*sqrt(5))*1] 0[0] -.52573111211900001[((-5/16)*1+(9/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/8)*1*sqrt(10-2*sqrt(5))] -1.61803398875[((-1/2)*1+(-1/2)*sqrt(5))*1] 0[0] -.52573111211900001[((-1/4)*1+(1/20)*sqrt(5))*sqrt(10+2*sqrt(5))] -1.2360679775[(1-sqrt(5))*1] 0[0] -.52573111211900001[((-1/4)*1+(1/20)*sqrt(5))*sqrt(10+2*sqrt(5))] -.61803398875[((1/2)*1+(-1/2)*sqrt(5))*1] 0[0] -.52573111211900001[((-5/16)*1+(9/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/8)*1*sqrt(10-2*sqrt(5))] -.2360679775[(2*1-sqrt(5))*1] 0[0] -.52573111211900001[((-1/4)*1+(1/20)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 0[0] -.52573111211900001[((-5/16)*1+(9/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/8)*1*sqrt(10-2*sqrt(5))] .61803398875[((-1/2)*1+(1/2)*sqrt(5))*1] 0[0] -.301217123829[((-5/8)*1+(3/10)*sqrt(5))*sqrt(10+2*sqrt(5))+((-1/16)*1+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -.92705098312500001[((3/4)*1+(-3/4)*sqrt(5))*1] 0[0] -.162459848116[((-1/16)*1+(-1/80)*sqrt(5))*sqrt(10+2*sqrt(5))+((-1/16)*1+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -1.7360679775[((1/2)*1-sqrt(5))*1] 0[0] -.162459848116[((1/8)*1+(-3/40)*sqrt(5))*sqrt(10+2*sqrt(5))] -1.11803398875[(-1/2)*sqrt(5)*1] 0[0] -.162459848116[((1/16)*1+(-1/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/8)*1*sqrt(10-2*sqrt(5))] -.7360679775[((3/2)*1-sqrt(5))*1] 0[0] -.162459848116[((1/8)*1+(-3/40)*sqrt(5))*sqrt(10+2*sqrt(5))] -.5[(-1/2)*1] 0[0] -.162459848116[((1/8)*1+(-3/40)*sqrt(5))*sqrt(10+2*sqrt(5))] -.11803398875[(1+(-1/2)*sqrt(5))*1] 0[0] -.162459848116[((1/4)*1+(-3/40)*sqrt(5))*sqrt(10+2*sqrt(5))+((-1/16)*1+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] .11803398875[(-1+(1/2)*sqrt(5))*1] 0[0] -.162459848116[((1/8)*1+(-3/40)*sqrt(5))*sqrt(10+2*sqrt(5))] .5[(1/2)*1] 0[0] .0620541401733[((-3/8)*1+(7/40)*sqrt(5))*sqrt(10+2*sqrt(5))] -1.42705098312[((1/4)*1+(-3/4)*sqrt(5))*1] 0[0] .0620541401733[((-1/2)*1+(7/40)*sqrt(5))*sqrt(10+2*sqrt(5))+((1/16)*1+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -1.04508497187[((7/4)*1+(-5/4)*sqrt(5))*1] 0[0] .0620541401733[((-3/8)*1+(7/40)*sqrt(5))*sqrt(10+2*sqrt(5))] -.80901699437500001[((-1/4)*1+(-1/4)*sqrt(5))*1] 0[0] .0620541401733[((-3/8)*1+(7/40)*sqrt(5))*sqrt(10+2*sqrt(5))] -.42705098312499999[((5/4)*1+(-3/4)*sqrt(5))*1] 0[0] .0620541401733[((-5/16)*1+(9/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8)*1*sqrt(10-2*sqrt(5))] -.190983005625[((-3/4)*1+(1/4)*sqrt(5))*1] 0[0] .0620541401733[((-3/8)*1+(7/40)*sqrt(5))*sqrt(10+2*sqrt(5))] .190983005625[((3/4)*1+(-1/4)*sqrt(5))*1] 0[0] .0620541401733[((-3/16)*1+(9/80)*sqrt(5))*sqrt(10+2*sqrt(5))+((1/16)*1+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] .80901699437500001[((1/4)*1+(1/4)*sqrt(5))*1] 0[0] .200811415886[((3/8)*1+(-1/5)*sqrt(5))*sqrt(10+2*sqrt(5))+((1/16)*1+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 0[0] .425325404176[((1/16)*1+(-1/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8)*1*sqrt(10-2*sqrt(5))] -1.54508497187[((5/4)*1+(-5/4)*sqrt(5))*1] 0[0] .425325404176[(1/20)*sqrt(5)*sqrt(10+2*sqrt(5))] -.92705098312500001[((3/4)*1+(-3/4)*sqrt(5))*1] 0[0] .425325404176[((1/16)*1+(-1/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8)*1*sqrt(10-2*sqrt(5))] -.69098300562499999[((-5/4)*1+(1/4)*sqrt(5))*1] 0[0] .425325404176[(1/20)*sqrt(5)*sqrt(10+2*sqrt(5))] -.309016994375[((1/4)*1+(-1/4)*sqrt(5))*1] 0[0] .425325404176[(1/20)*sqrt(5)*sqrt(10+2*sqrt(5))] .309016994375[((-1/4)*1+(1/4)*sqrt(5))*1] 0[0] .425325404176[((1/16)*1+(-1/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8)*1*sqrt(10-2*sqrt(5))] .69098300562499999[((5/4)*1+(-1/4)*sqrt(5))*1] 0[0] .64983939246600001[((-7/16)*1+(19/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8)*1*sqrt(10-2*sqrt(5))] -1.2360679775[(1-sqrt(5))*1] 0[0] .64983939246600001[((-5/8)*1+(3/10)*sqrt(5))*sqrt(10+2*sqrt(5))+((1/16)*1+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -.61803398875[((1/2)*1+(-1/2)*sqrt(5))*1] 0[0] .78859666817899999[((1/4)*1+(-3/40)*sqrt(5))*sqrt(10+2*sqrt(5))+((1/16)*1+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -.190983005625[((-3/4)*1+(1/4)*sqrt(5))*1] 0[0] .78859666817899999[((3/16)*1+(-1/80)*sqrt(5))*sqrt(10+2*sqrt(5))+((-1/16)*1+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] .190983005625[((3/4)*1+(-1/4)*sqrt(5))*1] 0[0] -2.141900825215408 -.69150981683544355 -.7239210382280468 -2.0998120586216058 -.47057073794502573 -1.0326482526031229 -2.0403326492266895 -1.0473236709764867 -.81867567177148641 -1.9722315943328073 -.68983673188854012 -1.3182067978829463 -1.9354712976961497 -1.0462896476133071 -1.1859644702685902 -1.899896027447776 -.56710419210488306 -.45586329791222409 -1.8317949725517241 -.20961725301765386 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