James Buddenhagen wrote:
> "Le Forgeron" <jgr### [at] freefr> wrote in message
> news:42411a22$1@news.povray.org...
> 
>>-----BEGIN PGP SIGNED MESSAGE-----
>>Hash: SHA1
>>
>>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
> 
How the 20 points are arranged? The yellow polyhedron looks rather 
strange: hexagons and pentagons as faces and at a first sight rather 
arbitrary ones. Can you give a link to the paper of Kottwitz?

http://cage.ugent.be/~hs

Post a reply to this message