Skip navigation
Skip navigation

Symmetry Groups and Reticulations of the Hexagonal H Surface

Robins, Vanessa; Ramsden, Stuart; Hyde, Stephen

Description

We describe a systematic approach to generate nets that arise from decorations of periodic minimal surfaces. Such surfaces are covered by the hyperbolic plane, in the same way that the euclidean plane covers a cylinder. Thus, a symmetric hyperbolic network can be wrapped onto an appropriate minimal surface to obtain a 3D periodic net. This requires symmetries of the hyperbolic net to match the symmetries of the minimal surface. Here, we tabulate all such symmetry groups that are compatible with...[Show more]

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
URI: http://hdl.handle.net/1885/77655
Source: Physica A: Statistical mechanics and its applications
DOI: 10.1016/j.physa.2004.03.053

Download

There are no files associated with this item.


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  20 July 2017/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator