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math.CO2024
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 tiles by translations then it admits at least one fully periodic tiling. This conjectur…
math.NT2024★ 1 cited
On integer distance sets
Rachel Greenfeld, Marina Iliopoulou, Sarah Peluse
We develop a new approach to address some classical questions concerning the size and structure of integer distance sets. Our main result is that any integer distance set in the Eu…