Generating two different uniformly distributed points on a sphere using one uniform distribution: Biscribed Truncated Icosahedron V=60.
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 https://www.geogebra.org/m/y8dnkeuu. Here, the 60 vertices Biscribed Truncated Icosahedron "induce" the vertices of the other two polyhedra:
32 ●Pentakis Dodecahedron ←60 ●Biscribed Truncated Icosahedron -extreme distribution →90 ☐ as Rectified Truncated icosahedron.
Images and explanations are in https://www.geogebra.org/m/pe9pkk6z and https://www.geogebra.org/m/rkpxwceh.