[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 60 vertices Biscribed Truncated Icosahedron "induce" the vertices of the other two polyhedra:[br][b][color=#ff0000]32 ●[url=https://www.geogebra.org/m/g7qhqgva ]Pentakis Dodecahedron[/url][/color] ←[color=#0000ff]60 ●Biscribed Truncated Icosahedron -[url=https://www.geogebra.org/m/eyg2fedd]extreme distribution[/url] [/color] →[color=#6aa84f]90 ☐[/color] [color=#38761d][url=https://www.geogebra.org/m/at2yxep3]as Rectified Truncated icosahedron[/url][/color].[br] [/b]Images and explanations are in[url=https://www.geogebra.org/m/pe9pkk6z] https://www.geogebra.org/m/pe9pkk6z[/url] and [url=https://www.geogebra.org/m/rkpxwceh]https://www.geogebra.org/m/rkpxwceh[/url].[/size]