* Chris Benson ([EMAIL PROTECTED]) wrote:
> On Sun, Jun 17, 2001 at 06:58:03PM +0100, Roger Burton West wrote:
> > 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.
> Neat question for a Sunday evening: I've been wondering about that for a 
> while.

the main problem is for low values of N, i.e. the ones you can imaginine
in your head, you can figure out regular convex polyhedra whose points 
lie of the sphere and whose sides are all the same shape (i.e. a triangular
pyramid, a cube or diamond, etc. however i'm not convinced you can 
construct such shapes for all values of N

> > Best general treatment of this I've seen is at
> > http://www.math.niu.edu/~rusin/known-math/index/spheres.html
> > 
> and that page also has a link to "Easy method for a fairly good point
> distribution " at http://www.math.niu.edu/~rusin/known-math/97/spherefaq

yes, but it leaves an unpleasant taste in your mouth afterwards,
or is that just me?

Greg McCarroll                      

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