Substitution tilings with dense tile orientations and n-fold rotational symmetry

Authors

Dirk Frettlöh, Universitat Bielefeld
April Lynne D. Say-Awen
Ma. Louise Antonette N. De Las Peñas, Ateneo de Manila UniversityFollow

Document Type

Article

Publication Date

2-2017

Abstract

It is shown that there are primitive substitution tilings with dense tile orientations invariant under n-fold rotation for n∈{2,3,4,5,6,8}. The proof for dense tile orientations uses a general result about irrationality of angles in certain parallelograms.

Recommended Citation

Frettlöh, D., Say-awen, A. L., & De Las Peñas, M. L. A. N. (2017). Substitution tilings with dense tile orientations and n-fold rotational symmetry. Indagationes Mathematicae, 28(1), 120-131.