Trancated Square antiprism. Dependence of the average distance between the vertices of a polyhedron on the truncation parameter. Extreme distribution.

[size=85]Drag the slider [b]t[/b] to show the truncation the faces of the polyhedron. [i]Extreme distribution[/i]: click a button to find the maximum value of the average distance between the vertices of a polyhedron.[/size]
[size=85][url=http://dmccooey.com/polyhedra/SquareAntiprism.html]http://dmccooey.com/polyhedra/SquareAntiprism.html[/url][br][url=https://en.wikipedia.org/wiki/Truncated_square_antiprism]https://en.wikipedia.org/wiki/Truncated_square_antiprism[/url][br][url=http://dmccooey.com/polyhedra/SquareGyrobicupola.html]http://dmccooey.com/polyhedra/SquareGyrobicupola.html[/url][/size]
The case the largest mean distance between the vertices of a truncated polyhedron
 Trancated Square antiprism t=tmax
The case of regular octagons on the faces of a truncated polyhedron.
Properties of the distribution polyhedrons vertices
Trancated Square antiprism.
– Roman Chijner

Information: Trancated Square antiprism. Dependence of the average distance between the vertices of a polyhedron on the truncation parameter. Extreme distribution.