Notes on Some Geometric and Algebraic Problems Solved by Origami

2014/09/14 by Wolfdieter Lang, Lang, Wolfdieter
Engineering · Mathematics · Physics and Astronomy · #11D25 (Secondary) #94B27 (Primary) #Advanced Materials and Mechanics #Advanced Mathematical Theories and Applications #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #math.MG #msc:11D25 #msc:94B27

paper · pdf · doi:10.48550/arxiv.1409.4799

21 pages with 23 figures

arxiv created 2014/09/14 · openalex publication_date 2014/09/14 · arxiv updated 2014/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Details for known solutions of some geometric and algebraic problems with the help of origami are presented: two theorems of Haga, the general cubic equation, especially the heptagon equation, doubling the cube as well as the trisection of angles α, π- α and π+ α.

Citations

• The field Q(2cos(pi/n)), its Galois group and length ratios in the regular n-gon

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