Book of Donmon Teith

Chapter 1 describes several models for the realization space of a polytope. These models include the classical model, a model representing realizations in the G

The book collects results about realization spaces of polytopes. It gives a presentation of the author's "Universality Theorem for 4-polytopes". It is a compreh

The aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes. The arti

First comprehensive, accessible account; second edition has expanded bibliography and a new appendix surveying recent research.

We consider the concept of triangulation of an oriented matroid. We provide a definition which generalizes the previous ones by Billera-Munson and by Anderson a