2 papers
math.CO2025
Growth Forms of Tilings
Peter Hilgers, Anton Shutov
The growth form (or corona limit) of a tiling is the limit form of its coordination shells, i.e. its set of tiles located at a fixed distance from some tile. We give an overview of…
math.NT2024
Best Diophantine Approximations and Multidimensional Three Distance Theorem
Anton Shutov
In 1996 N. Chevallier proved a beautiful lemma which connects Diophantine approximation and multidimensional generalizations of the famous Three Distance Theorem. Using this lemma…