Models of a Skew Polyhedon – 3D printable model from Thingiverse Thingiverse

Models of a Skew Polyhedon

by pmoews
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This skew polyhedron was first described by Petrie in 1926 during a discussion with Coxeter. See Coxeter's paper "Regular Skew Polyhedra in Three and Four Dimensions and their Topological Analogues" Proc. London Math. Soc., ser 2, 43, 33-62, 1937. and also https://en.wikipedia.org/wiki/Regular_skew_apeirohedron

It consists of a regular infinite array of squares, six of which surround each vertex. Here are models, similar to the one shown in Coxeter's paper, which illustrate this idea.
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