Tilings of polygons composed of equal rectangles by similar rectangles
Combinatorics
2021-11-29 v2
Abstract
Let a polygon be composed of equal rectangles. We find all quadratic irrationals r for which the polygon can be tiled by similar rectangles with given side ratio r.
Cite
@article{arxiv.1809.06627,
title = {Tilings of polygons composed of equal rectangles by similar rectangles},
author = {Ivan Novikov},
journal= {arXiv preprint arXiv:1809.06627},
year = {2021}
}
Comments
In Russian, 6 pages, 4 figures. v2: minor additions and corrections