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Regular Skew Polyhedra in Hyperbolic Three-Space

1967/01/01 by Cyril W. L. Garner · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · Mathematics · #Cellular Automata and Applications #Combinatorics #Computer science #Coxeter group #DNA and Biological Computing #Euclidean space #Geometry #Mathematics #Polyhedron #Skew #Space (punctuation) #Tetrahedron #graph theory and CDMA systems

paper · pdf · doi:10.4153/cjm-1967-106-9

openalex publication_date 1967/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

The study of regular skew polyhedra was initiated in 1926 by Petrie's discovery of two infinite polyhedra in Euclidean three-space E 3 which were free of false vertices; the only other regular skew polyhedron in E 3 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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