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Regular Skew Polyhedra in Hyperbolic Three-Space
Published online by Cambridge University Press: 20 November 2018
Extract
The study of regular skew polyhedra was initiated in 1926 by Petrie's discovery of two infinite polyhedra in Euclidean three-space E3 which were free of false vertices; the only other regular skew polyhedron in E3 was found by Coxeter (1, pp. 33-34). The simplest of these is denoted {4, 6 | 4} and is derived from the space-filling of cubes by omitting half the faces.
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- Copyright © Canadian Mathematical Society 1967
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