Truncated Cuboctahedron. Dependence of the average distance between the vertices of a polyhedron on the truncation parameter. Extreme distribution.
Drag the slider t to show the truncation the faces of the polyhedron. Extreme distribution: click a button to find the maximum value of the average distance between the vertices of a polyhedron.
![[size=85][url=http://dmccooey.com/polyhedra/Cuboctahedron.html]http://dmccooey.com/polyhedra/Cuboctahedron.html[/url] t=0
[url=http://dmccooey.com/polyhedra/TruncatedCuboctahedron.html]http://dmccooey.com/polyhedra/TruncatedCuboctahedron.html[/url] 0http://dmccooey.com/polyhedra/Rhombicuboctahedron.html t=0.5[/size]](https://www.geogebra.org/resource/rxjfmacg/RebTXZ6sjrCeXm51/material-rxjfmacg.png)
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
