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

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

    This article analyses geometric constructions by origami when up to nφ 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.

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