The hat polykite as an Iterated Function System
Dynamical Systems
2025-10-02 v1 Combinatorics
Abstract
This paper describes the celebrated aperiodic hat tiling by Smith et al. [Comb. Theory 8 (2024), 6] as generated by an overlapping iterated function system. We briefly introduce and study infinite sequences of iterated function systems that converge uniformly in each component, and use this theory to model the hat tiling's associated imperfect substitution system.
Keywords
Cite
@article{arxiv.2510.00409,
title = {The hat polykite as an Iterated Function System},
author = {Corey de Wit},
journal= {arXiv preprint arXiv:2510.00409},
year = {2025}
}
Comments
17 pages, 5 figures. Comments welcome!