Square Trisection

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.


Publié dans:
Bulletin d'Informatique Approfondie et Applications, 86
Année
2010
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 Notice créée le 2010-12-06, modifiée le 2018-01-28

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