Ax, 3 polyominoes for tiling the plane non-periodically

TL;DR

This paper introduces a new set of three polyominoes called Ax, inspired by Ammann A4, which can tile the plane non-periodically, exploring the creative process behind discovering such tilings.

Contribution

It presents a novel set of three polyominoes for non-periodic tiling, inspired by Ammann A4, and discusses the graphical journey of their development.

Findings

Ax polyominoes tile the plane non-periodically

The set relates to Ammann A4 in structure

Provides insights into the creation of non-periodic tilings

Abstract

How do people come up with new sets of tiles including new tile shapes that would only tile non-periodically? This paper presents our graphical journey in tilings and provides a new set of three polyominoes named Ax for its relationship with Ammann A4.