Square Trisection

Details Square Trisection Square Trisection

2010-12-03

arxiv.org/abs/1012.0827v1

Mathematics

History and Overview

11 pages, 38 figures, 9 solutions

Scientific paper

A square trisection is a problem of assembling three identical squares from a larger square, using a minimal number of pieces. This paper presents an historical overview of the square trisection problem starting with its origins in the third century. We detail the reasoning behind some of the main known solutions. Finally, we give a new solution and three ruler-and-compass constructions. We conclude with a conjecture of optimality of the proposed solution.

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