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

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

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. The...

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Veröffentlicht in:Acta crystallographica. Section A, Foundations and advances Foundations and advances, 2022-01, Vol.78 (1), p.56-58
Hauptverfasser: Pedersen, Martin Cramer, Robins, Vanessa, Hyde, Stephen T.
Format: Artikel
Sprache:eng
Schlagworte:
conventional unit cells
Crystallography
Diamond
Diamonds
hyperbolic geometry
Minimal surfaces
subgroup lattices
Subgroups
symmetry groups
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Zusammenfassung: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. The group–subgroup structure of the symmetry groups describing the Diamond and Gyroid minimal surfaces in their conventional unit cells is presented.
ISSN:2053-2733
0108-7673
2053-2733
DOI:10.1107/S2053273321012936