An effective construction for cut-and-project rhombus tilings with global n-fold rotational symmetry (2004.10128v4)

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.