Weak local rules for planar octagonal tilings
arXiv:1512.04679 · doi:10.1007/s11856-017-1582-z
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.
23 pages, 6 figures