Method for 3D printing of highly complex geometries : The first "flat torus" printed in 3D
Résumé
This paper presents a case study based on a complex printing of a mathematical object challenged as a mathematical problem by Kuiper and Nash in the 50s. The purpose was to build a physical representation of this abstract mathematical object. The problem was to deal with a large amount of data in highly complex topology with cost and accuracy constraints We have pointed out several problems relatives to cutting 3D highly waved objects and propose different ways for cutting regarding aesthetic aspect and other constraints. This paper raises interesting research questions related to data storage structure and manipulation of highly complex geometries.