Section: New Results

Non-Euclidean Computational Geometry

Participants : Vincent Despré, Iordan Iordanov, Monique Teillaud.

Delaunay Triangulations of Symmetric Hyperbolic Surfaces

We have worked on extending our previous results on the computation of Delaunay triangulations of the Bolza surface [50] (see also the section New Software above), which is the most symmetric surface of genus 2. Elaborating further on previous work [26], we are now considering symmetric hyperbolic surfaces of higher genus, for which we study mathematical properties [14] that allow us to propose algorithms [13].

In collaboration with Gert Vegter and Matthijs Ebbens (University of Groningen).