A note on the two symmetry-preserving covering maps of the gyroid minimal surface期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Email author" target="_blank">V?Robins Email author S J?Ramsden S T?Hyde

Institution:	(1) Department of Applied Mathematics, Research School of Physical Sciences, The Australian National University, Canberra, ACT, 0200, Australia

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 $\mathbb{H}^2$ is chiral, the projection of this pattern via the two covering maps gives rise to distinct structures in $\mathbb{E}^3$ .

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