An effective construction for cut-and-project rhombus tilings with global n-fold rotational symmetry
Discrete Mathematics
2024-09-25 v4 Metric Geometry
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.
Keywords
Cite
@article{arxiv.2004.10128,
title = {An effective construction for cut-and-project rhombus tilings with global n-fold rotational symmetry},
author = {Victor H. Lutfalla},
journal= {arXiv preprint arXiv:2004.10128},
year = {2024}
}