Optimization of a random distribution of points on the surface of the sphere.


Geomview image

tes3.gif

Tessel code

tesselation
  random 8
  optimize 100
  optimize 100
  optimize 100
  optimize 100
  optimize 100
  optimize 100
  optimize 100
  optimize 100
  optimize 100
  optimize 100
  optimize 100
  optimize 100
  optimize 100
  optimize 100
  optimize 100
  optimize 100
  points opt8.points
endtesselation
run cat opt8.points | qhull -G > opt8.geom
end

The best distribution, in the sense that the electrostatic repulsion energy is a minimum, of 8 points on the surface of the sphere corresponds not to a cube but to an Archimedean antiprism. The convex hull has been determined using qhull from the best distribution of points determined by tessel. The plot has been produced using Geomview.

Master document: http://web.uniovi.es/qcg/tessel/tessel.html
Page dates: April 9, 1996 (creation), Sep 22, 2003 (last update). Admin.: victor@carbono.quimica.uniovi.es
Copyright © 1996-2003 Víctor Luaña.