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Hyperbolic crystallography of two-periodic surfaces and associated structures

Pedersen, Martin; Hyde, Stephen


This paper describes the families of the simplest, two-periodic constant mean curvature surfaces, the genus-two HCB and SQL surfaces, and their isometries. All the discrete groups that contain the translations of the genus-two surfaces embedded in Euclidean three-space modulo the translation lattice are derived and enumerated. Using this information, the subgroup lattice graphs are constructed, which contain all of the group-subgroup relations of the aforementioned quotient groups. The...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
Source: Acta Crystallographica. Section A
DOI: 10.1107/S2053273316019112


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