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

Pedersen, M.C.; Robins, V.; Hyde, S.T.

doi:10.1107/S2053273321012936

Acta Crystallographica Section A
Acta Crystallographica
Section A FOUNDATIONS AND ADVANCES

IUCr IT WDC

home archive editors for authors for readers submit subscribe open access

view article

Figure 1
Left: the Primitive (top), Diamond (middle) and Gyroid (bottom) minimal surfaces oriented in their conventional unit cells with space groups $[Pm\bar{3}m]$ , $[Fd\bar{3}m]$ and I4₁32, respectively. Right: corresponding translational patches in the universal covering space, $[{\bb H}^{2}]$ , visualized using the Poincaré disc model of $[{\bb H}^{2}]$ . The combinatorics and group theory of the compactification of these patches as well as their coordinates can be found in the supporting information.

FOUNDATIONS
ADVANCES

ISSN: 2053-2733

Volume 78| Part 1| January 2022| Pages 56-58

https://doi.org/10.1107/S2053273321012936

Follow Acta Cryst. A

Search IUCr Journals		doi		Advanced search
Author		volume	page