Truncated Tetrahedron. Dependence of the average distance between the vertices of a polyhedron on the truncation parameter. Extreme distribution.

[size=85] Drag the slider t 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/Tetrahedron.html]http://dmccooey.com/polyhedra/Tetrahedron.html[/url][br][url=http://dmccooey.com/polyhedra/TruncatedTetrahedron.html]http://dmccooey.com/polyhedra/TruncatedTetrahedron.html[/url][br][url=http://dmccooey.com/polyhedra/Octahedron.html]http://dmccooey.com/polyhedra/Octahedron.html[/url][/size][br][br]
The case the largest mean distance between the vertices of a truncated polyhedron
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The case of regular hexagons and triangles in the faces of a truncated polyhedron.
Properties of the distribution polyhedrons vertices
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– Roman Chijner

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