On Sun, Jun 17, 2001 at 06:52:04PM +0100, Greg McCarroll wrote:

>Ok, now how can you distribute N points around the origin in _3_ dimensions,
>again all of them at the same distance from the origin? Obviously
>there will be an imaginary sphere again, but where do you put the points.

Best general treatment of this I've seen is at
http://www.math.niu.edu/~rusin/known-math/index/spheres.html

which has the summary:

* "uniformly distributed" has more than one meaning;
* for most n there is no answer which is particularly elegant;
* quick-and-dirty approximations are easy.

R

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