Truncated Cube. 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.
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/dvx4nedu/AnaF0UbExo5uUmb2/material-dvx4nedu.png)
The case of regular octagons and triangles on the faces of a truncated polyhedron.
![The case of regular octagons and triangles on the faces of a truncated polyhedron.](https://beta.geogebra.org/resource/kgs852mw/dDzweNIYZKV7n6iv/material-kgs852mw.png)
Properties of the distribution polyhedrons vertices
![Properties of the distribution polyhedrons vertices](https://beta.geogebra.org/resource/ygnebdax/m2V8dAc51JRbt551/material-ygnebdax.png)
Truncated Cube.
![Truncated Cube.](https://beta.geogebra.org/resource/wfskefnc/4B1hD2KKZfgCG6EN/material-wfskefnc.png)