Geographic style maps for two-dimensional lattices

Bright, M.; Cooper, A.I.; Kurlin, V.

doi:10.1107/S2053273322010075

Acta Crystallographica Section A
Acta Crystallographica
Section A FOUNDATIONS AND ADVANCES

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Figure 7
Left: all projected invariants PI(Λ) live in the quotient triangle QT parameterized by $[x = \bar{r}_{02}-\bar{r}_{01}\in[0,1)]$ and $[y = 3\bar{r}_{12}\in[0,1]]$ . Right: mirror images (enantiomorphs) of any oblique lattice are represented by a pair (x, y) ↔ (1 − y, 1 − x) in the quotient square QS = QT⁺ ∪ QT⁻ symmetric in the diagonal x + y = 1.

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ISSN: 2053-2733

Volume 79| Part 1| January 2023| Pages 1-13

https://doi.org/10.1107/S2053273322010075

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