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Eulàlia Tramuns

Publications and source records attributed to Eulàlia Tramuns.

2 recordsLinked to original sources
arXiv2014

Geometric and arithmetic relations concerning origami

We present a formalization of geometric instruments that considers separately geometric and arithmetic aspects of them. We introduce the concept of tool, which formalizes a physical instrument as a set of axioms representing its geometric capabilities. We also define a map as a tool together with a set of points and curves as an initial reference. We rewrite known results using this new approach and give new relations between origami and other instruments, some obtained considering them as tools and others considering them as maps.

math.NT↗
arXiv2014

Abelian and non-Abelian numbers via 3D Origami

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.

math.NT↗