Infinite Skew Polyhedron - Semiregular Infinite Skew Polyhedra

Semiregular Infinite Skew Polyhedra

There are many other semiregular (vertex-transitive) infinite skew polyhedra. Wachmann, Burt and Kleinmann (1974) discovered many examples but it is not known whether their list is complete.

Three are illustrated here:


A prismatic semiregular skew polyhedron with vertex configuration 4.4.4.6.
A (partial) semiregular skew polyhedron with vertex configuration 4.8.4.8. Related to the omnitruncated cubic honeycomb.
A (partial) semiregular skew polyhedron with vertex configuration 3.4.4.4.4. Related to the Runcitruncated cubic honeycomb.

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