An alternative proof for an aperiodic monotile
Metric Geometry
2025-01-22 v7 Combinatorics
Dynamical Systems
Number Theory
Abstract
We give an alternative simple proof that the monotile introduced by Smith, Myers, Kaplan and Goodman-Strass is aperiodic.
Cite
@article{arxiv.2307.12322,
title = {An alternative proof for an aperiodic monotile},
author = {Shigeki Akiyama and Yoshiaki Araki},
journal= {arXiv preprint arXiv:2307.12322},
year = {2025}
}
Comments
Minor corrections in this version. To appear in Discrete and Computational Geometry. There are drastic changes between Versions 4 and 5. Construction of tiling became very simple, by using central words