A note on the two symmetry-preserving covering maps of the gyroid minimal surface

V. Robins; S. J. Ramsden; S. T. Hyde

doi:10.1140/epjb/e2005-00377-x

A note on the two symmetry-preserving covering maps of the gyroid minimal surface

V. Robins^*, S. J. Ramsden, S. T. Hyde

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

Our study of the gyroid minimal surface has revealed that there are two distinct covering maps from the hyperbolic plane onto the surface that respect its intrinsic symmetries. We show that if a decoration of ℍ² is chiral, the projection of this pattern via the two covering maps gives rise to distinct structures in E sign double-struck³.

Original language	English
Pages (from-to)	107-111
Number of pages	5
Journal	European Physical Journal B
Volume	48
Issue number	1
DOIs	https://doi.org/10.1140/epjb/e2005-00377-x
Publication status	Published - Nov 2005

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title = "A note on the two symmetry-preserving covering maps of the gyroid minimal surface",

abstract = "Our study of the gyroid minimal surface has revealed that there are two distinct covering maps from the hyperbolic plane onto the surface that respect its intrinsic symmetries. We show that if a decoration of ℍ2 is chiral, the projection of this pattern via the two covering maps gives rise to distinct structures in E sign double-struck3.",

author = "V. Robins and Ramsden, {S. J.} and Hyde, {S. T.}",

year = "2005",

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AB - Our study of the gyroid minimal surface has revealed that there are two distinct covering maps from the hyperbolic plane onto the surface that respect its intrinsic symmetries. We show that if a decoration of ℍ2 is chiral, the projection of this pattern via the two covering maps gives rise to distinct structures in E sign double-struck3.

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JO - European Physical Journal B

JF - European Physical Journal B

IS - 1

ER -

A note on the two symmetry-preserving covering maps of the gyroid minimal surface

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