Septic equations are solvable by 2-fold origami

preprint2015arXivOpen access

Abstract

In this paper we prove that a generic rational equation of degree 77 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 A7A_7 resp. PSL3F2PSL_3\mathbb{F}_2.

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