English

A square from similar rectangles

History and Overview 2018-08-14 v1 Metric Geometry

Abstract

In the present popular science paper we determine when a square can be dissected into rectangles similar to a given rectangle. The approach to the question is based on a physical interpretation using electrical networks. Only secondary school background is assumed in the paper.

Keywords

Cite

@article{arxiv.1305.2598,
  title  = {A square from similar rectangles},
  author = {Sergey Dorichenko and Mikhail Skopenkov},
  journal= {arXiv preprint arXiv:1305.2598},
  year   = {2018}
}

Comments

5 pages, 5 figures, in Russian

R2 v1 2026-06-22T00:15:06.209Z