Simultaneous tiling
Classical Analysis and ODEs
2022-08-05 v1 Combinatorics
Abstract
We discuss problems of simultaneous tiling. This means that we have an object (set, function) which tiles space with two or more different sets of translations. The most famous problem of this type is the Steinhaus problem which asks for a set simultaneously tiling the plane with all rotates of the integer lattice as translation sets.
Keywords
Cite
@article{arxiv.2208.02603,
title = {Simultaneous tiling},
author = {Mihail N. Kolountzakis},
journal= {arXiv preprint arXiv:2208.02603},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2106.11701