Truncated Cuboctahedron. Dependence of the average distance between the vertices of a polyhedron on the truncation parameter. Extreme distribution.

[size=85]Drag the slider [b]t[/b] to show the truncation the faces of the polyhedron. [i]Extreme distribution[/i]: click a button to find the maximum value of the average distance between the vertices of a polyhedron.[/size]
[size=85][url=http://dmccooey.com/polyhedra/Cuboctahedron.html]http://dmccooey.com/polyhedra/Cuboctahedron.html[/url] t=0[br][url=http://dmccooey.com/polyhedra/TruncatedCuboctahedron.html]http://dmccooey.com/polyhedra/TruncatedCuboctahedron.html[/url] 0http://dmccooey.com/polyhedra/Rhombicuboctahedron.html t=0.5[/size]
The case the largest mean distance between the vertices of a truncated polyhedron
The case of regular octagons on the faces of a truncated polyhedron.
Properties of the distribution polyhedrons vertices
Truncated Cuboctahedron, V=48
– Roman Chijner

Information: Truncated Cuboctahedron. Dependence of the average distance between the vertices of a polyhedron on the truncation parameter. Extreme distribution.