Septic equations are solvable by 2-fold origami

Joachim König; Dmitri Nedrenco

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arXiv · 1504.07090

Septic equations are solvable by 2-fold origami

Joachim König·Dmitri Nedrenco

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Abstract

In this paper we prove that a generic rational equation of degree $7$ is solvable by 2-fold origami. In particular we show how to septisect an arbitrary angle. This extends the work of Alperin & Lang and Nishimura on 2-fold origami. Furthermore we give exact crease patterns for folding polynomials with Galois groups $A_7$ resp. $PSL_3\mathbb{F}_2$.

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Joachim König, Dmitri Nedrenco. 2015-04-27. Septic equations are solvable by 2-fold origami. https://arxiv.org/abs/1504.07090

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