 | | | 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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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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