Truncated Biscribed Pentakis. 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.
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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

Properties of the distribution polyhedrons vertices

Properties of the distribution polyhedrons vertices

Truncated pentakis dodecahedron

Truncated pentakis dodecahedron