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Truncated Cuboctahedron. 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.
[size=85][url=http://dmccooey.com/polyhedra/Cuboctahedron.html]http://dmccooey.com/polyhedra/Cuboctahedron.html[/url]                       t=0
[url=http://dmccooey.com/polyhedra/TruncatedCuboctahedron.html]http://dmccooey.com/polyhedra/TruncatedCuboctahedron.html[/url]   0http://dmccooey.com/polyhedra/Rhombicuboctahedron.html           t=0.5[/size]
http://dmccooey.com/polyhedra/Cuboctahedron.html t=0 http://dmccooey.com/polyhedra/TruncatedCuboctahedron.html 0http://dmccooey.com/polyhedra/Rhombicuboctahedron.html t=0.5

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

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

Truncated Cuboctahedron, V=48

Truncated Cuboctahedron, V=48