Coloring the edges and faces of a polyhedron(n=72) Pentakis Snub Dodecahedron (laevo) and its dual image.
- Author:
- Roman Chijner
- Topic:
- Vectors 2D (Two-Dimensional), Vectors 3D (Three-Dimensional), Centroid or Barycenter, Optimization Problems, Geometry, Intersection, Isosceles Triangles, Linear Programming or Linear Optimization, Mathematics, Plane Figures or Shapes, Planes, Solids or 3D Shapes, Special Points, Sphere, Surface, Geometric Transformations, Triangles, 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) .