Truncated Octahedron. 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

The case of regular hexagons and quadrilaterals on the faces of a truncated polyhedron.

The case of regular hexagons and quadrilaterals on the faces of a truncated polyhedron.

Properties of the distribution polyhedrons vertices

Properties of the distribution polyhedrons vertices

Truncated Octahedron.

Truncated Octahedron.