Geometric bistellar ﬂips: the setting, the context and a construction
Domingo Gómez-PérezUniversidad de Cantabria, Santander, Spain
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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.