Distortion Reversal in Aperiodic Tilings
Dynamical Systems
2021-11-16 v1 Combinatorics
Abstract
It is proved that homeomorphic images of certain two-dimensional aperiodic tilings, such as Ammann-A2 tilings, are recognizable, in both mathematical and practical senses. One implication of the results is that it is possible to search for distorted aperiodic structures in nature, where they may be hiding in plain sight.
Cite
@article{arxiv.2111.07523,
title = {Distortion Reversal in Aperiodic Tilings},
author = {Louisa Barnsley and Michael Barnsley and Andrew Vince},
journal= {arXiv preprint arXiv:2111.07523},
year = {2021}
}