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Semi-regular polyhedra and maps

✍ Scribed by Joseph Zaks

Publisher: Springer
Year: 1978
Tongue: English
Weight: 479 KB
Volume: 7
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00152068

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📜 SIMILAR VOLUMES

Characterizing the vertex neighbourhoods

Characterizing the vertex neighbourhoods of semi-regular polyhedra

✍ T. R. S. Walsh 📂 Article 📅 1972 🏛 Springer 🌐 English ⚖ 313 KB

THE VERTEX NEIGHBOURHOODS OF SEMI-REGULAR POLYHEDRA \* The author wishes to thank Prof. H. S. M. Coxeter for his numerous helpful suggestions during the preparation of this paper, and M. Burt for his assistance in preparing the plates.

Regular Polyhedra—Old and New

✍ Branko Grünbaum 📂 Article 📅 1977 🏛 Springer 🌐 English ⚖ 113 KB

Regular Homomorphisms and Regular Maps

✍ Aleksander Malnič; Roman Nedela; Martin Škoviera 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 123 KB

Regular homomorphisms of oriented maps essentially arise from a factorization by a subgroup of automorphisms. This kind of map homomorphism is studied in detail, and generalized to the case when the induced homomorphism of the underlying graphs is not valency preserving. Reconstruction is treated by

Four-Dimensional Regular Polyhedra

✍ Peter McMullen 📂 Article 📅 2007 🏛 Springer 🌐 English ⚖ 357 KB

On Coxeter's regular skew polyhedra

✍ E. Schulte; J.M. Wills 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 652 KB

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

Regular incidence quasi-polytopes and re

Regular incidence quasi-polytopes and regular maps

✍ Adam Stephanides 📂 Article 📅 1989 🏛 Springer 🌐 English ⚖ 511 KB

We define incidence quasi-polytopes and give a procedure for constructing regular incidence quasi-polytopes. We use this procedure to construct a finite map of type {e, 6} for all even ~ and 6, and infinitely many such maps when ~ or 6 is divisible by 4 and both are greater than or equal to 4.