Abelian and non-Abelian numbers via 3D Origami
Number Theory
2014-08-06 v1
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.
Keywords
Cite
@article{arxiv.1408.0880,
title = {Abelian and non-Abelian numbers via 3D Origami},
author = {José Ignacio Royo Prieto and Eulàlia Tramuns},
journal= {arXiv preprint arXiv:1408.0880},
year = {2014}
}
Comments
10 pages