Teichmüller geodesics, Delaunay triangulations, and Veech groups

Abstract. In this article, we describe a method for computing generators of the Veech group of a flat surface (which we define as a Riemann surface with a non-zero holomorphic quadratic differential). The method employs a cell structure on the (complex) Teichmüller geodesic generated by the surface, us-ing Delaunay triangulations, which are canonically associated to flat surfaces