Truncated Biscribed Pentakis. 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/BiscribedPentakisDodecahedron.html]http://dmccooey.com/polyhedra/BiscribedPentakisDodecahedron.html[/url] : t=0[br][url=https://en.wikipedia.org/wiki/Truncated_pentakis_dodecahedron]https://en.wikipedia.org/wiki/Truncated_pentakis_dodecahedron[/url]: 0<t<0.5[br][url=http://dmccooey.com/polyhedra/RectifiedTruncatedIcosahedron.html]http://dmccooey.com/polyhedra/RectifiedTruncatedIcosahedron.html[/url] : t=0.5[/size][br]
The case the largest mean distance between the vertices of a truncated polyhedron
Properties of the distribution polyhedrons vertices
Truncated pentakis dodecahedron
– Roman Chijner

Information: Truncated Biscribed Pentakis. Dependence of the average distance between the vertices of a polyhedron on the truncation parameter. Extreme distribution.