Petrie Duality and the Anstee–Robertson Graph

We define the operation of Petrie duality for maps, describing its general properties both geometrically and algebraically. We give a number of examples and applications, including the construction of a pair of regular maps, one orientable of genus 17, the other non-orientable of genus 52, which emb...

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Bibliographic Details
Main Authors: Gareth A. Jones, Matan Ziv-Av
Format: Article
Language:English
Published: MDPI AG 2015-12-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/7/4/2206