distribution of points on a sphere
The original question is:
>From: Dongchul Lim <lim #*at*# rani.chem.yale.edu>
>Subject: Random Distribution of Points on a Sphere
> Hi fellow chemists,
>This may fit better in comp.graphics, but someone in this group
>may have experienced it already. So here it goes.
>I want to generate points on the surface of a sphere as randomly
>as possible. These points may be used for drawing van der Waals
>surface of an atom. I tried with symmetrically distributed points
>(generated by varying phi and theta, etc), but due to symmetry,
>the points looked like marching ants at certain angles.
>Since many of symmetrically distributed points are likely to be
>overlapped when they are placed in 2-D screen, increasing the
>density of VDW points would require unnecessarily large number
>of sphere points. Random distribution of points would help
>minimizing the number of points required and will give a better
>lim #*at*# rani.chem.yale.edu
There are several ways to get points on a sphere with even distribution.
For example, vertics and (projects of) face-centers of
pentakisdodecahedron are 92 points on the sphere. In this way,
you can have more or less. Please see J.Chem.Phys. 97(1992)4162 for
92 points, see J.Compt.Chem.8(1987)778 for 60 points.