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arXiv · 1803.06224

Folding a 3D Euclidean space

Jorge C. Lucero
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Abstract

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 points, lines and planes are analyzed by using the geometry of reflections. Next, a set of 3D elementary fold operations is defined, which satisfy specific combinations of constraints with a finite number of solutions. The set consists of 47 valid fold operations, and solutions to some of them are explored to determine their number and conditions of existence.

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Jorge C. Lucero. 2018-03-16. Folding a 3D Euclidean space. https://arxiv.org/abs/1803.06224

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