Truncated Icosahedron. 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 of regular pentagons and hexagons on the faces of a truncated polyhedron.

Properties of the distribution polyhedrons vertices

Truncated Icosahedron

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