James Buddenhagen wrote:
> "hermans" <sas### [at] telenet_invalidbe> wrote in message
> news:4242fec1$1@news.povray.org...
> 
> [...snip...]
> 
> 
>>Why don't you take the 20 points on the sphere as the vertices of a
>>regular icosahedron?
> 
> 
> Because the regular icosahedron has only 12 vertices.  It has 20 faces,
> so one might try the centers of those faces for the 20 points, but that
> fails also because the convex hull is then the reg dodecahedron which
> does not have triangular faces.
> 
> 
>>In that case all the triangles aren't "as close to
>>equilateral as possible" but equilateral. The dual polyhedron is a
>>regular dodecahedron (as can be seen on my site and on many other
>>sites). For similar arrangments of more points in many cases one can use
>>the theory of geodesic spheres (domes). Also in povray a lot of examples
>>exist.
>>Herman Serras
>>http://cage.ugent.be/~hs
> 
> 
> Jim Buddenhagen
> 
Shame on me! I must have been very confused.
Herman

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