Department of Molecular Biology and Genetics2024-11-0920150129-167X10.1142/S0129167X155006392-s2.0-84938200307http://dx.doi.org/10.1142/S0129167X15500639https://hdl.handle.net/20.500.14288/9961Thurston 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.MathematicsJournal Article1793-65193584254000117053