%0 Journal Article %T Combinatorial optimization in geometry %A Igor Rivin %J Physics %D 1999 %I arXiv %X We study the moduli space of euclidean structures with cone points on a surface, and describe a decomposition into cells each of which corresponds to a given combinatorial type of Delaunay tessellation. We use some of the ideas to study hyperbolic structures on three-dimensional manifolds %U http://arxiv.org/abs/math/9907032v1