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://beta.geogebra.org/resource/rxjfmacg/RebTXZ6sjrCeXm51/material-rxjfmacg.png)
The case the largest mean distance between the vertices of a truncated polyhedron
![The case the largest mean distance between the vertices of a truncated polyhedron](https://beta.geogebra.org/resource/pwqdects/iKHHG5syZMYKvNAY/material-pwqdects.png)
The case of regular octagons on the faces of a truncated polyhedron.
![The case of regular octagons on the faces of a truncated polyhedron.](https://beta.geogebra.org/resource/uzch5wjd/zGkGq6camXoMSxO3/material-uzch5wjd.png)
Properties of the distribution polyhedrons vertices
![Properties of the distribution polyhedrons vertices](https://beta.geogebra.org/resource/kzmwugdy/qWHQCDaRpmSp3enO/material-kzmwugdy.png)
Truncated Cuboctahedron, V=48
![Truncated Cuboctahedron, V=48](https://beta.geogebra.org/resource/xutwef7e/gtOw6lEARc8yf3dO/material-xutwef7e.png)