Dissections of a metal rectangle

Details Dissections of a metal rectangle Dissections of a metal rectangle

2010-11-14

arxiv.org/abs/1011.3180v1

Kvant 3 (2011), 10-16

Mathematics

Combinatorics

In Russian, 11 pages, 7 figures

Scientific paper

In the present popular science paper the following geometric questions are answered: - Which rectangles can be dissected into squares? - When a square can be dissected into rectangles similar to a given rectangle? The proofs are based on a physical interpretation using electrical networks. Only secondary school background is assumed in the paper.

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