POV-Ray : Newsgroups : povray.advanced-users : How to distribute points equally on sqhere surface? : Re: How to distribute points equally on sqhere surface? Server Time
30 Jul 2024 20:18:11 EDT (-0400)
  Re: How to distribute points equally on sqhere surface?  
From: Ken
Date: 5 Jun 1999 02:18:36
Message: <3758BFD5.A1F8B1AA@pacbell.net>
Peter Santo wrote:
> 
> Hello!
> 
> I would like to render a sphere with an arbitrary number of points (or
> smaller spheres) on its surface that I want to distribute equally (so
> the distance to the neighbouring points is nearly equal for every
> point). I suppose there is no perfect solution for that problem, but I
> would like to approximate it as good as possible.
> 
> A funktion could look like this:
> Input: Number of points (n)
> Output: n pairs of angles (horizontal and vertical from sphere's center)
> that describe the location of the points. (alternatively <x,y,z>-coords
> on the surface)
> 
> Of course, the solution is easy for n = 1(trivial), 2(line),
> 3(traingle), 4(tetrahedron), 6(octahedron), 8(cube) and some more. I
> also checked http://www.cris.com/~rjbono/html/domes.html , but geodesic
> domes always have a "magic" number of corners.
> 
> Does anyone have an idea for this? Any help would be appreciated (also
> "It does not work, because..").
> 
> /PETER/
> 
> --
> Peter Santo (PUMP development)
> Visit: http://www.ieee.rwth-aachen.de/mp3/

I know this is a well worn subject already but check out the post I just
made in povray.text.scene-files under the thread Kens Function Collection
for a routine for distributing points equaly along the surface of a sphere.
It is probably the same equation found in Bourke's collection.

-- 
Ken Tyler

mailto://tylereng@pacbell.net


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