Re: Distribute points uniformly on a sphere


"Gib Bogle" <g.bogle@xxxxxxxxxxxxxxxxxxxxxx> wrote in message
news:426d76be$1@xxxxxxxxxxxxxxxxxxxxxx
> Hi,
>
> I need a way to distribute a number of points (e.g. 300) on the surface of
> a sphere, in such a way that the nearest-neighbour distances are roughly
> equal. This is a practical rather than a theoretical problem, so an
> approximate result will be quite acceptable.
>


Try Grassman spaces in 3D:

J. H. Conway, R. H. Hardin and N. J. A. Sloane:
Packing Lines, Planes, etc., Packings in Grassmannian Spaces
Experimental Mathematics, Vol. 5 (1996), 139-159

see also
http://www.research.att.com/~njas/
which will point to a pdf of the above.

Rusty


.

Relevant Pages

  • Re: Distribute points uniformly on a sphere
    ... Rusty wrote: ... I need a way to distribute a number of points on the surface of a sphere, in such a way that the nearest-neighbour distances are roughly equal. ... Packing Lines, Planes, etc., Packings in Grassmannian Spaces ...
    (sci.math.num-analysis)
  • Re: Maximum number of small spheres that can surround a large sphere
    ... Given one large hard sphere of radius R, ... I expect that when r is small compared to R this will give you very close to the right answer, but as r gets bigger you'd expect the packing density to reduce. ...
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