 | | | Random points on a unit sphere without biasing | Random points on a unit sphere without biasing 2005-06-14 - By kim aldis
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But of course, this won't give you absolute control over exactly how many
points. You'd be stuck whatever the subd gave you.
Relaxation?
> -- --Original Message-- --
> From: owner-xsi@(protected)
> [mailto:owner-xsi@(protected)] On Behalf Of kim aldis
> Sent: 14 June 2005 16:08
> To: XSI@(protected)
> Subject: RE: Random points on a unit sphere without biasing
>
> Geodesic dome. Infact there's no such thing as a perfectly
> even distribution of points over a sphere greater than the
> number of points on an icosahedron (20 faces) but Buckminster
> Fuller got pretty close with his domes by splitting the
> icosahedron across it's faces. He did it by putting points in
> the middle of each face then triangulating the new points,
> omitting the old. You can get a good way into complexities by
> doing this recursively.
>
> If you can't use the xsi primitive as a starting point then
> you can generate the starting icosahedron but I remember it
> proved fiddly when I last tried it.
>
> None of the XSI subdees give the results you need.
>
>
>
> > -- --Original Message-- --
> > From: owner-xsi@(protected)
> > [mailto:owner-xsi@(protected)] On Behalf Of Alan Jones
> > Sent: 14 June 2005 15:55
> > To: xsi@(protected)
> > Subject: Random points on a unit sphere without biasing
> >
> > Hi All,
> >
> > This is to the maths geniuses in the room. I want to
> generate X number
> > of points on a unit sphere, but be sure I won't have any biasing
> > involved.
> >
> > My first thought was just to use a couple of random numbers (let's
> > assume they don't have any bias) and then use those with a
> few sin and
> > cos function etc to generate the points.
> > Though I have a feeling that would give me more points around the
> > poles.
> >
> > Anyone have some good suggestions?
> >
> > Cheers,
> >
> > Alan.
> >
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