3 citations · 5 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
Geometric solution of a quintic equation by two-fold origami
Jorge C. Lucero
This article shows how to find the solution of an arbitrary quintic equation by performing two simultaneous folds on a sheet of paper. The folds achieve specific incidences between…
On the elementary single-fold operations of origami: reflections and incidence constraints on the plane
Jorge C. Lucero
This article reviews the so-called "axioms" of origami (paper folding), which are elementary single-fold operations to achieve incidences between points and lines in a sheet of pap…