Substitution tilings with dense tile orientations and n-fold rotational symmetry
Metric Geometry
2016-04-28 v2
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.
Keywords
Cite
@article{arxiv.1602.00518,
title = {Substitution tilings with dense tile orientations and n-fold rotational symmetry},
author = {Dirk Frettlöh and April L. D. Say-awen and M. L. A. N. de las Peñas},
journal= {arXiv preprint arXiv:1602.00518},
year = {2016}
}
Comments
10 pages, 8 figures. To appear in Indagationes Mathematicae