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 |
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 ( Impressum )