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arXiv · 1408.0880

Abelian and non-Abelian numbers via 3D Origami

José Ignacio Royo Prieto·Eulàlia Tramuns
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Abstract

In this work we introduce new folding axioms involving easy 3D manoeuvres with the aim to push forward the arithmetic limits of the Huzita-Justin axioms. Those 3D axioms involve the use of a flat surface and the rigidity property of convex polyhedra. Using those folding moves, we show that we can construct all Abelian numbers, and numbers whose Galois group is not solvable.

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José Ignacio Royo Prieto, Eulàlia Tramuns. 2014-08-05. Abelian and non-Abelian numbers via 3D Origami. https://arxiv.org/abs/1408.0880

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