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math.HO2019
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 simultaneous folds may be done at each step. It shows that any arbitrary angle can be -sected if the larg…
math.HO2018
Construction of a regular hendecagon by two-fold origami
Jorge C. Lucero
The regular hendecagon is the polygon with the smallest number of sides that cannot be constructed by single-fold operations of origami on a square sheet of paper. This article sho…
math.HO2018
Folding a 3D Euclidean space
Jorge C. Lucero
This paper considers an extension of origami geometry to the case of "folding" a three dimensional (3D) space along a plane. First, all possible incidence constraints between given…