Generating the edges is irrelevant to me.  I just want the vertices.  The
ultimate task for me is to determine the "solid angle" of a certain
projection on the sphere and analytical techniques have not been accurate
enough.

Could you please refer me to  an "electrostatic repulsion" algorithm - this
sounds like  a winner.
Many thanks,
Ilia




"Chris Johnson" <chris(at)chris-j(dot)co(dot)uk> wrote in message
news:4094ddba$1@news.povray.org...
> -[The final distribution is somewhat skewed with higher "point density"
> about the original vertices]-
> Once you have a mesh of the points, if you model electrostatic repulsion
> between the points, while keeping them bounded on the sphere, after a few
> iterations of the repulsion algorithm, the will have rearranged themselves
> into an even distribution. Alternatively, it might be a good idea to model
> the edges as springs pulling the modal together - this might avoid the
> potential problem of the points reshuffling so much that they form very
> non-iscosceles triangles. If you start with an icosahedron, I think this
> method might work.
>
> One could start with 60000 random points on a sphere and apply the
> electrostatic repulsion method to get a near-even distribution, but the
> difficulty then is finding the best way to form the edges. This problem of
> finding the "best" edges given a set of points is quite hard I think.
>
> -Chris
>
>

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