Convex-Faced Combinatorially Regular Polyhedra of Small Genus

Convex-Faced Combinatorially Regular Polyhedra of Small Genus

Combinatorially regular polyhedra are polyhedral realizations (embeddings) in Euclidean 3-space E3 of regular maps on (orientable) closed compact surfaces. They are close analogues of the Platonic solids. A surface of genus g ≥ 2 admits only finitely many regular maps, and generally only a small num...

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Bibliographic Details
Main Authors: Jörg M. Wills, Egon Schulte
Format: Article
Language:English
Published: MDPI AG 2011-12-01
Series:Symmetry
Subjects:
Platonic solids
regular polyhedra
regular maps
Riemann surfaces
polyhedral embeddings
automorphism groups
Online Access:http://www.mdpi.com/2073-8994/4/1/1/

Internet

http://www.mdpi.com/2073-8994/4/1/1/

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