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arXiv · 2004.10128

An effective construction for cut-and-project rhombus tilings with global n-fold rotational symmetry

Victor H. Lutfalla
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Abstract

We give an explicit and effective construction for rhombus cut-and-project tilings with global n-fold rotational symmetry for any n. This construction is based on the dualization of regular n-fold multigrids. The main point is to prove the regularity of these multigrids, for this we use a result on trigonometric diophantine equations.

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Victor H. Lutfalla. 2020-04-21. An effective construction for cut-and-project rhombus tilings with global n-fold rotational symmetry. https://doi.org/10.4230/oasics.automata.2021.9

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