The intrinsic group-subgroup structures of the Diamond and Gyroid minimal surfaces in their conventional unit cells

Martin Cramer Pedersen; Vanessa Robins; Stephen T. Hyde

doi:10.1107/S2053273321012936

The intrinsic group-subgroup structures of the Diamond and Gyroid minimal surfaces in their conventional unit cells

Martin Cramer Pedersen, Vanessa Robins, Stephen T. Hyde

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

1 Citation (Scopus)

Abstract

The intrinsic, hyperbolic crystallography of the Diamond and Gyroid minimal surfaces in their conventional unit cells is introduced and analysed. Tables are constructed of symmetry subgroups commensurate with the translational symmetries of the surfaces as well as group-subgroup lattice graphs.

Original language	English
Pages (from-to)	56-58
Number of pages	3
Journal	Acta Crystallographica Section A: Foundations and Advances
Volume	78
DOIs	https://doi.org/10.1107/S2053273321012936
Publication status	Published - 1 Jan 2022

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title = "The intrinsic group-subgroup structures of the Diamond and Gyroid minimal surfaces in their conventional unit cells",

abstract = "The intrinsic, hyperbolic crystallography of the Diamond and Gyroid minimal surfaces in their conventional unit cells is introduced and analysed. Tables are constructed of symmetry subgroups commensurate with the translational symmetries of the surfaces as well as group-subgroup lattice graphs.",

keywords = "conventional unit cells, hyperbolic geometry, minimal surfaces, subgroup lattices, symmetry groups",

author = "Pedersen, {Martin Cramer} and Vanessa Robins and Hyde, {Stephen T.}",

year = "2022",

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T1 - The intrinsic group-subgroup structures of the Diamond and Gyroid minimal surfaces in their conventional unit cells

AU - Pedersen, Martin Cramer

AU - Robins, Vanessa

AU - Hyde, Stephen T.

PY - 2022/1/1

Y1 - 2022/1/1

N2 - The intrinsic, hyperbolic crystallography of the Diamond and Gyroid minimal surfaces in their conventional unit cells is introduced and analysed. Tables are constructed of symmetry subgroups commensurate with the translational symmetries of the surfaces as well as group-subgroup lattice graphs.

AB - The intrinsic, hyperbolic crystallography of the Diamond and Gyroid minimal surfaces in their conventional unit cells is introduced and analysed. Tables are constructed of symmetry subgroups commensurate with the translational symmetries of the surfaces as well as group-subgroup lattice graphs.

KW - conventional unit cells

KW - hyperbolic geometry

KW - minimal surfaces

KW - subgroup lattices

KW - symmetry groups

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U2 - 10.1107/S2053273321012936

DO - 10.1107/S2053273321012936

M3 - Article

SN - 0108-7673

VL - 78

SP - 56

EP - 58

JO - Acta Crystallographica Section A: Foundations and Advances

JF - Acta Crystallographica Section A: Foundations and Advances

ER -

The intrinsic group-subgroup structures of the Diamond and Gyroid minimal surfaces in their conventional unit cells

Abstract

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