%0 Journal Article %T Geometric bistellar flips. The setting, the context and a construction %A Francisco Santos %J Mathematics %D 2006 %I arXiv %X We give a self-contained introduction to the theory of secondary polytopes and geometric bistellar flips in triangulations of polytopes and point sets, as well as a review of some of the known results and connections to algebraic geometry, topological combinatorics, and other areas. As a new result, we announce the construction of a point set in general position with a disconnected space of triangulations. This shows, for the first time, that the poset of strict polyhedral subdivisions of a point set is not always connected. %U http://arxiv.org/abs/math/0601746v1