How to Distribute N Points on the Surface of a Sphere ?

To answer this question often one of the following methods, which can easily be formalised , is used:

choose N points on the sphere choose N points on the sphere
to construct a polyhedron
(e.g. convex hull,tangential)
calculate the distance
of each pair of points
evaluate it by its facets or edges. evaluate these distancies

Here you can find background for searching. Also you find some applets to:

find good point-arrangements for: construct point-sets on the sphere using: view some results
well known problems complete list of simple polyhedra (8 ≤ N ≤ 21) applet
free defined problems different construction methods list from literature
point-to-point-distancies icosahedral symmetry obtained results

Lienhard Wimmer