paper

Direct Construction of Aperiodic Tilings with the Hat Monotile

arXiv:2306.06512

Abstract

In 2023, the quest for an aperiodic monotile was answered by the hat monotile. In this article, structures in this aperiodic tiling are discovered, which allow for a direct computation of the tiling, similar to well-known methods for the Penrose tilings.

19 pages, 20 figures