Septic equations are solvable by 2-fold origami

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. $PS{L}_3{\mathbb{F}}_2$.

12 pages, 5 figures

References in corpus (1)

• Origami constructions

Cited by in corpus (1)

• Division of an angle into equal parts and construction of regular polygons by multi-fold origami