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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).