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Solving Cubics With Creases: The Work of Beloch and Lill

Thomas C. Hull
The American Mathematical Monthly
Vol. 118, No. 4 (April 2011), pp. 307-315
DOI: 10.4169/amer.math.monthly.118.04.307
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.118.04.307
Page Count: 9
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Solving Cubics With Creases: The Work of Beloch and Lill
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Abstract

Abstract Margharita P. Beloch was the first person, in 1936, to realize that origami (paperfolding) constructions can solve general cubic equations and thus are more powerful than straightedge and compass constructions. We present her proof. In doing this we use a delightful (and mostly forgotten?) geometric method due to Eduard Lill for finding the real roots of polynomial equations.

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