"Le Forgeron" <jgr### [at] freefr> wrote in message
news:42411a22$1@news.povray.org...
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> James Buddenhagen wrote:
> > I'm interested in artistic images with a math flavor.
> > Here is a simple one (at this point it has to be simple
> > or I can't create it!) which had its inspiration in
> > an arrangement Kottwitz found around 1995 for 20 points
> > on a sphere whose convex hull consists entirely of
> > triangles, and those triangles are as close to equilateral
> > as possible.
>
> 20 points on a sphere... sound like a dodecahedron to me...

Except, the faces of the regular dodecahedron are not triangles...

In the picture the 20 points are the centers of the red
circular caps and the yellow polyhedron (which has 20 faces)
is the dual of the convex hull.

Jim

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