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Unification and classification of two-dimensional crystalline patterns using orbifolds

Hyde, Stephen; Ramsden, Stuart; Robins, Vanessa


The concept of an orbifold is particularly suited to classification and enumeration of crystalline groups in the euclidean (flat) plane and its elliptic and hyperbolic counterparts. Using Conway's orbifold naming scheme, this article explicates conventional point, frieze and plane groups, and describes the advantages of the orbifold approach, which relies on simple rules for calculating the orbifold topology. The article proposes a simple taxonomy of orbifolds into seven classes, distinguished...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Acta Crystallographica Section A: Foundations of Crystallography
DOI: 10.1107/S205327331400549X
Access Rights: Open Access


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