Generating two different uniformly distributed points on a sphere using one uniform distribution: Regular Tetrahedron V=4.
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 4 vertices of the Regular Tetrahedron "induce" the vertices of the other two polyhedra:
4 ●Regular Tetrahedron← 4 ●Regular Tetrahedron →6 ●Regular Octahedron.
Images and explanations are in https://www.geogebra.org/m/mgyswxv7 and https://www.geogebra.org/m/rkpxwceh.