Generating two different uniformly distributed points on a sphere using one uniform distribution: Icosahedron V=12.

This applet is used to study the uniformly distribution of geometric medians on a sphere, „induces“ by the discrete sample of uniformly distribution points in the 3-D space. Description is in Here, the 12 vertices of the Icosahedron "induce" the vertices of the other two polyhedra: 20 ●Dodecahedron← 12 ●Icosahedron →30 ●Icosidodecahedron. Images and explanations are in