Generating two different uniformly distributed points on a sphere using one uniform distribution: Cube V=8.

[size=85]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 [url=https://www.geogebra.org/m/y8dnkeuu]https://www.geogebra.org/m/y8dnkeuu[/url]. Here, the 8 vertices of the Cube "induce" the vertices of the other two polyhedra:[br][size=100][b]V=6 ●[color=#ff0000]Octahedron[/color]← V=8 ●[color=#0000ff]Cube[/color] →V=12 ●[color=#6aa84f]Cuboctahedron.[/color][/b][/size] [br] Images and explanations are in [url=https://www.geogebra.org/m/rkpxwceh]https://www.geogebra.org/m/rkpxwceh[/url].[/size]

Information: Generating two different uniformly distributed points on a sphere using one uniform distribution: Cube V=8.