Square Trisection
History and Overview
2015-03-17 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1012.0827,
title = {Square Trisection},
author = {Christian Blanvillain and János Pach},
journal= {arXiv preprint arXiv:1012.0827},
year = {2015}
}
Comments
11 pages, 38 figures, 9 solutions