Article
Substitution tilings with dense tile orientations and n-fold rotational symmetry
Mathematics Faculty Publications
Document Type
Article
Publication Date
2-1-2017
Disciplines
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.
Citation Information
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.