Jorge C. Lucero,

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

Forum Geometricorum, 19 (2019) 4552.


Absract. This article analyses geometric constructions by origami when up to 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 p ≤ n+2. Also, the regular m-gon can be constructed if the largest prime factor of φ(m) is q ≤ n+2, where φ is Euler's totient function.



[ps] [pdf]