POV-Ray : Newsgroups : povray.binaries.images : Barth Decic : Re: Barth Decic - Barth SEXTIC Server Time
8 Aug 2024 04:11:16 EDT (-0400)
  Re: Barth Decic - Barth SEXTIC  
From: hermans
Date: 19 Oct 2005 04:21:03
Message: <435601ef@news.povray.org>
Anton Sherwood schreef:
> hermans wrote:
> 
>> Barth's SEXTIC is a surface with 65 double points. It's interesting to 
>> know that 20 of these double points are the vertices of a regular 
>> dodecahedron and 30 other double points are the midpoints of the edges 
>> of another regular dodecahedron. 
> 
> 
> And the other five?
> 
That's an interesting question, but I can't give the answer. Perhaps 
somebody else can help.
As mentioned in a link on my page concerning this surface, Barth's 
sextic is a 6th degree surface that has the maximum number of double 
points (65) a 6th degree surface can have.

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


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