Coloring of edges and faces of a polyhedron(n=72) extreme distribution and its dual image.
- Author:
- Roman Chijner
- Topic:
- Vectors 2D (Two-Dimensional), Vectors 3D (Three-Dimensional), Centroid or Barycenter, Optimization Problems, Geometric Mean, Geometry, Intersection, Linear Programming or Linear Optimization, Mathematics, Means, Polygons, Scalene Triangles, Solids or 3D Shapes, Sphere, Surface, Geometric Transformations, Vectors, Volume
Is considered as an example of the distribution of n=72 points on the surface of a sphere. In the applet, you can explore their extreme distribution. Two known distributions:
Biscribed Pentakis Snub Dodecahedron (laevo),
Pentakis Snub Dodecahedron (laevo).
-are not extreme(in terms of the extreme value of the Distance Sum - sum of their mutual distances).
Coloring of edges and faces of these polyhedra in applets:
Extreme distribution
Biscribed Pentakis Snub Dodecahedron (laevo)
Pentakis Snub Dodecahedron (laevo) .