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
Section A FOUNDATIONS AND ADVANCES

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Figure 10
The level-1 supertile of type 0 for the Godrèche–Lançon–Billard (GLB) inflation rule. The location of the type-0 (pink) and type-4 (blue) tiles are labelled, where one has $[x_{0} = \lambda\exp(i\pi/10)]$ , $[x_{\ell} = \exp(2\pi {\rm i}\ell/10)x_{0}]$ (for $[1\leq\ell\leq 4]$ ) and $[\lambda = [{{1} \over {2}}(5+5^{1/2})]^{1/2}]$ ; see Baake et al. (2019b