Geometric solution of a quintic equation by two-fold origami

zbMATH Open1412.51022arXiv1801.07460MaRDI QIDQ5378995

Jorge C. Lucero

Publication date: 27 May 2019

Abstract: This article shows how to find the solution of an arbitrary quintic equation by performing two simultaneous folds on a sheet of paper. The folds achieve specific incidences between a set of points and lines that are determined by the coefficients of the quintic. Complete equations for computing the set are given, and their application is illustrated with an example.

Full work available at URL: https://arxiv.org/abs/1801.07460

zbMATH Keywords

origamigeometric constructionpaper foldingquintic equation

Mathematics Subject Classification ID

Euclidean analytic geometry (51N20) Numerical computation of roots of polynomial equations (65H04)

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