paper

Tilings of polygons composed of equal rectangles by similar rectangles

arXiv:1809.06627 · doi:10.4213/mzm13262

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.

arXiv commentIn Russian, 6 pages, 4 figures. v2: minor additions and corrections