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Figure 5
Exceptional cases, mostly of type (m, μ) = (2q, q − 1) for q > 1. Shown are the cases (top left) (4, 1), regular square tiling, (middle left) (6, 1), regular hexagon tiling, (bottom left) (6, 2), regular triangle tiling, (top right) (8, 3), Ammann–Beenker tiling, (middle right) (10, 4), generalized rhombic Penrose tiling, and (bottom right) (12, 5), Stampfli tiling. Individual spiral nodes are marked by black sectors, with each distinct sector orientation corresponding to a certain spiral branch, so that overlapping nodes stand out by containing more than one sector. See also Fig. 6 for a comparison of the chiral spiral cyclic twin tilings with their quasicrystal counterparts.

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ISSN: 2053-2733
Volume 79| Part 6| November 2023| Pages 570-586
https://doi.org/10.1107/S2053273323008276
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