2014/08/05 by José Ignacio Royo Prieto, Prieto, José Ignacio Royo, Eulàlia Tramuns +1
Arts and Humanities · Engineering · Mathematics · #11R32 #12F05 #51M15 #51M20 #Advanced Materials and Mechanics #Advanced Numerical Analysis Techniques #Art, Technology, and Culture #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11R32 #msc:12F05 #msc:51M15 #msc:51M20
paper · pdf · doi:10.48550/arxiv.1408.0880
10 pages
arxiv created 2014/08/05 · openalex publication_date 2014/08/05 · arxiv updated 2014/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.