From: James Buddenhagen Subject: Re: Bounding sphere of an icosahedron Date: Sat, 29 Jul 2000 11:45:06 -0500 Newsgroups: sci.math Summary: [missing] endpoints of one edge: (0,t,1), (t,1,0) where t=(1+sqrt(5))/2 center: (0,0,0). Since t^2=t+1, edge=2 and edge/dia = 1/sqrt(t+2), or approx .52573111 --Jim Buddenhagen David Gaskill wrote: > > Please could somebody tell me, or give me a reference for, the ratio > between the length of the side of one of the component equilateral > triangles and the diameter of the sphere which passes through the > vertices of a regular icosahedron? > > Thanks, > > David