Abstract: Generalized associahedra are convex polytopes which naturally appear in the study of finite type cluster algebras. After a first construction due to F. Chapoton, S. Fomin and A. Zelevinsky, multiple realizations of these polytopes have been constructed by C. Hohlweg, C. Lange and H. Thomas. These realizations are obtained by removing certain facets from a generalized permutahedron. More recently, we proposed a new interpretation of these realizations based on the brick polytope of a subword complex. This enabled us to provide a description of the coordinates of the vertices of these realizations, from which we derive that their vertex barycenter coincide with the barycenter of the permutahedron. Joint work with Christian Stump (Universität Hannover). Preprint http://arxiv.org/abs/1210.3314 .