The Ammann-Beenker tilings revisited
Combinatorics
2012-08-20 v1 Discrete Mathematics
Abstract
This paper introduces two tiles whose tilings form a one-parameter family of tilings which can all be seen as digitization of two-dimensional planes in the four-dimensional Euclidean space. This family contains the Ammann-Beenker tilings as the solution of a simple optimization problem.
Keywords
Cite
@article{arxiv.1208.3545,
title = {The Ammann-Beenker tilings revisited},
author = {Nicolas Bédaride and Thomas Fernique},
journal= {arXiv preprint arXiv:1208.3545},
year = {2012}
}
Comments
7 pages, 4 figures