POV-Ray : Newsgroups : povray.general : Bounding Polyhedrons : Re: Bounding Polyhedrons Server Time
19 Nov 2024 07:36:30 EST (-0500)
  Re: Bounding Polyhedrons  
From: Ari-Matti Leppanen
Date: 13 Apr 2002 10:55:20
Message: <3cb846d8$1@news.povray.org>
"Herman Serras" <Her### [at] pandorabe> wrote in message
news:3CB82C20.47AEA204@pandora.be...

: A quick look at shapes2.inc learns that those polyhedra are
: circumscribed to a unit sphere.
: http://mathforum.org/dr.math/faq/formulas/faq.polyhedron.html

Nice. So the bounding spheres are:

Tetrahedron  sphere { 0, 3 }
Octahedron   sphere { 0, 3/sqrt(3) }
Dodecahedron sphere { 0, 15/sqrt(75+30*sqrt(5)) }
Icosahedron  sphere { 0, 15/sqrt(75+30*sqrt(5)) }

I'm still not sure if a box would be better. There's more empty space,
but the bounding bounds the bounded object yet with a box, so..

Ari-Matti


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