Dissections of a metal rectangle
Combinatorics
2026-04-28 v2 History and Overview
Abstract
In the present popular-science paper, we find out which rectangles can be dissected into squares. The proof is based on a physical interpretation in terms of electrical networks. Only a secondary school background is assumed in the paper.
Keywords
Cite
@article{arxiv.1011.3180,
title = {Dissections of a metal rectangle},
author = {Sergey Dorichenko and Maxim Prasolov and Mikhail Skopenkov},
journal= {arXiv preprint arXiv:1011.3180},
year = {2026}
}
Comments
In Russian, 13 pages, 21 figures. An arithmetic error has been corrected, and exposition has been improved