Triangulations and quadrangulations of the sphere
Ísmail Sağlam · International Journal of Mathematics · 2015
Thurston proved that the space of non-negatively curved triangulations of the 2-sphere can be parametrized by a quotient of a lattice by a group. We prove his result by a new method. Also we prove similar results for some different families of triangulations and quadrangulations of the 2-sphere.