Periodic tillings of the plane by squares
Combinatorics
2020-03-12 v1
Abstract
The paper provides an elementary proof of Kenyon's necessary condition for the existence of a periodic tiling of the plane by squares with given periods. A similar new result on covering both sides of a rectangle by nonoverlaping squares is proved.
Cite
@article{arxiv.2003.05430,
title = {Periodic tillings of the plane by squares},
author = {Mikhail Dmitriev},
journal= {arXiv preprint arXiv:2003.05430},
year = {2020}
}
Comments
8 pages, in Russian