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Figure 7
Distribution of the coincidence angles [\tan(\delta) = \rho m/n\ n,m\,\gt\,0] versus [\sigma = n^{2}+m^{2}\rho^{2}] in logarithmic scale, for the rectangle lattice with [\rho = \sqrt{3/2} ]. The points are distributed on branches asymptotically converging to specific coincidence angles [\delta = \arctan(\rho m_{i}/n_{i})] where the points (ni,mi) belong to (extended) Farey sequences generated from the initial pair [(1,0),(0,1)]; here, the optimum branches generated by the Farey sequence [F_{\rm r}(3)] asymptotic by lower (purple) and upper (cyan) values are underlined with the same colors as their corresponding rows on the set [{\cal V}] of Fig. 6[link].

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ISSN: 2053-2733
Volume 79| Part 4| July 2023| Pages 301-317
https://doi.org/10.1107/S2053273323003662
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