POV-Ray : Newsgroups : povray.general : Fastest way of making polyhedra : Re: Fastest way of making polyhedra Server Time
8 Aug 2024 01:18:58 EDT (-0400)
  Re: Fastest way of making polyhedra  
From: David Fontaine
Date: 6 Aug 2001 17:53:47
Message: <3B6F0FD0.1EB7B1D9@faricy.net>
Andrea Ryan wrote:
> 
> I have made #declares of meshes for the tetrahedron, cube and
> octahedron.  I saw some vertexes of the dodecahedron and the icosahedron
> in another polyhedra include file.  They used the golden ratio.  Is
> there a reason for this?  I want to have the edges have lengths of one.

Yes!  If you have an icosahedron with edge lengths of one, you can
inscribe three mutually orthogonal golden rectangles.  With the
dodecahedron, you can inscribe three mutually orthogonal rectangles in
the ratio phi^2 (which incidentally is phi + 1).

-- 
David Fontaine  <dav### [at] faricynet>  ICQ 55354965
My raytracing gallery:  http://davidf.faricy.net/


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