Weak local rules for planar octagonal tilings
Dynamical Systems
2024-10-03 v3 Mathematical Physics
Combinatorics
Metric Geometry
math.MP
Abstract
We provide an effective characterization of the planar octagonal tilings which admit weak local rules. As a corollary, we show that they are all based on quadratic irrationalities, as conjectured by Thang Le in the 90s.
Cite
@article{arxiv.1512.04679,
title = {Weak local rules for planar octagonal tilings},
author = {Nicolas Bédaride and Thomas Fernique},
journal= {arXiv preprint arXiv:1512.04679},
year = {2024}
}
Comments
23 pages, 6 figures