[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 https://www.geogebra.org/m/y8dnkeuu. Here, the 4 vertices of the Regular Tetrahedron "induce" the vertices of the other two polyhedra:[br][b][color=#ff0000]4 ●[url=https://www.geogebra.org/m/yphgewvm]Regular Tetrahedron[/url][/color]← [color=#0000ff]4 ●Regular Tetrahedron[/color] →[color=#38761d]6 ●[url=https://www.geogebra.org/m/ywcd2rpe]Regular Octahedron[/url].[/color][/b][br] Images and explanations are in [url=https://www.geogebra.org/m/mgyswxv7]https://www.geogebra.org/m/mgyswxv7[/url] and [url=https://www.geogebra.org/m/rkpxwceh]https://www.geogebra.org/m/rkpxwceh[/url].[/size]