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On Coxeter's regular skew polyhedra

✍ Scribed by E. Schulte; J.M. Wills

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 652 KB
Volume: 60
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(86)90017-8

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✦ Synopsis

The paper describes polyhedral realizations of the 4-dimensional 'finite regular skew polyhedra' {4,6 I3}, {6,4 I3}, {4,8 I3}, {8,4 13) in Euclidean 3-space.

Also a new proof of regularity is given, stressing the fact that the automorphism group of each polyhedron is isomorphic to the group of all symmetries and dualities of the related self-dual regular 4-polytope.

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