A square from similar rectangles

TL;DR

This paper explores the conditions under which a square can be divided into rectangles similar to a given rectangle, using an electrical network analogy to provide an accessible explanation suitable for secondary school students.

Contribution

It introduces a novel approach linking geometric dissection problems to electrical network theory, making the topic accessible with minimal mathematical background.

Findings

Established criteria for dissecting squares into similar rectangles.

Connected geometric dissection problems with electrical network models.

Provided an educational perspective for secondary school level understanding.

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.