Yet another aperiodic tile set

TL;DR

This paper introduces a new, simpler elementary construction of an aperiodic tile set, offering a different approach that potentially simplifies understanding and proof of aperiodicity compared to existing methods.

Contribution

The paper presents a novel, elementary construction of an aperiodic tile set that differs from previous approaches and aims to simplify the proof of aperiodicity.

Findings

Construction is elementary and simpler than existing methods

Proof of aperiodicity is more straightforward

Introduces a new approach to aperiodic tilings

Abstract

We present here an elementary construction of an aperiodic tile set. Although there already exist dozens of examples of aperiodic tile sets we believe this construction introduces an approach that is different enough to be interesting and that the whole construction and the proof of aperiodicity are hopefully simpler than most existing techniques.