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Figure 8
For each crystal in the CSD with a given basis [{\bf v}_1,{\bf v}_2,{\bf v}_3], we took three lattices generated by the bases [({\bf v}_1,{\bf v}_2)], [({\bf v}_2,{\bf v}_3)] and [({\bf v}_3,{\bf v}_1)]. The resulting 2.6 million+ 2D lattices populate a triangle continuously expanding the tree of Bravais classes. The color indicates a logarithmically scaled number of lattices whose invariants are close to (x, y), see the earlier version in figure 9 of Bright et al. (2023bBB7).

IUCrJ
Volume 11| Part 4| July 2024| Pages 453-463
ISSN: 2052-2525
https://doi.org/10.1107/S2052252524004056