Symmetry and Topology: The 11 Uninodal Planar Nets Revisited

A description of the 11 well-known uninodal planar nets is given by Cayley color graphs or alternative Cayley color graphs of plane groups. By applying methods from topological graph theory, the nets are derived from the bouquet B n with rotations mostly as voltages. It thus appears that tra...

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Bibliographic Details
Main Author: Jean-Guillaume Eon
Format: Article
Language:English
Published: MDPI AG 2018-01-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/10/2/35
Description
Summary:A description of the 11 well-known uninodal planar nets is given by Cayley color graphs or alternative Cayley color graphs of plane groups. By applying methods from topological graph theory, the nets are derived from the bouquet B n with rotations mostly as voltages. It thus appears that translation, as a symmetry operation in these nets, is no more fundamental than rotations.
ISSN:2073-8994