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Trancated Square antiprism. 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
 Trancated Square antiprism t=tmax
 Trancated Square antiprism t=tmax

The case of regular octagons on the faces of a truncated polyhedron.

The case of regular octagons on the faces of a truncated polyhedron.

Properties of the distribution polyhedrons vertices

Properties of the distribution polyhedrons vertices

Trancated Square antiprism.

Trancated Square antiprism.