Periodicity and decidability of translational tilings by rational polygonal sets

Jaume de Dios Pont, Jan Grebík, Rachel Greenfeld +1

The periodic tiling conjecture asserts that if a region $\hat{I}\pounds \subset {\mathbb{R}}^d$ tiles ${\mathbb{R}}^d$ by translations then it admits at least one fully periodic tiling. This conjectu…