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

zbMATH Open1415.51027arXiv1902.01649MaRDI QIDQ5742590

Jorge C. Lucero

Publication date: 15 May 2019

Abstract: This article analyses geometric constructions by origami when up to $n$ simultaneous folds may be done at each step. It shows that any arbitrary angle can be $m$-sected if the largest prime factor of $m$ is $plen+2$. Also, the regular $m$-gon can be constructed if the largest prime factor of $phi(m)$ is $qlen+2$, where $phi$ is Euler's totient function.

Full work available at URL: https://arxiv.org/abs/1902.01649

zbMATH Keywords

geometric constructionsmulti-fold origami

Mathematics Subject Classification ID

Geometric constructions in real or complex geometry (51M15)

This page was built for publication: Division of an angle into equal parts and construction of regular polygons by multi-fold origami

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5742590)