Renormalization techniques for inflation systems and some of their applications

Baake, M.; Gähler, F.; Klick, A.; Mañibo, N.; Mazáč, J.

doi:10.1107/S2053273326003918

Acta Crystallographica Section A
Acta Crystallographica
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Figure 6
Diffraction of the Hat tiling with equal weights for the two LI classes of the Hat tiling (with indicated control points), each depicted under the corresponding diffraction image. Both pictures display a lattice-periodic structure, with lattice $[\{[(1+\xi)(\tau-\xi)^{3}\,{\rm i}]/3\sqrt{15}\}]$ $[{\bb Z} [\xi]]$ for the left one and its mirror image for the right one. For further details, we refer the reader to Baake et al. (2025b