F. Ardila, C. Benedetti, and J. Doker, Matroid Polytopes and their Volumes, Discrete & Computational Geometry, vol.221, issue.6, pp.841-854, 2010.
DOI : 10.1007/s00454-009-9232-9
URL : https://hal.archives-ouvertes.fr/hal-01185426

N. Bergeron, C. Hohlweg, C. Lange, and H. Thomas, Isometry classes of generalized associahedra, 2009.

L. J. Billera, P. Filliman, and B. Sturmfels, Constructions and complexity of secondary polytopes, Advances in Mathematics, vol.83, issue.2, pp.155-179, 1990.
DOI : 10.1016/0001-8708(90)90077-Z

A. Björner, M. L. Vergnas, B. Sturmfels, N. White, and G. M. Ziegler, Oriented matroids, volume 46 of Encyclopedia of Mathematics and its Applications, 1999.

J. A. De-loera, J. Rambau, and F. Santos, Triangulations: Structures for Algorithms and Applications, Algorithms and Computation in Mathematics, vol.25, 2010.
DOI : 10.1007/978-3-642-12971-1

I. M. Gel-fand, M. M. Kapranov, and A. V. Zelevinsky, Discriminants, resultants, and multidimensional determinants Mathematics: Theory & Applications, Birkhäuser Boston Inc, 1994.

C. Hohlweg and C. E. Lange, Realizations of the Associahedron and Cyclohedron, Discrete & Computational Geometry, vol.37, issue.4, pp.517-543, 2007.
DOI : 10.1007/s00454-007-1319-6

A. Knutson and E. Miller, Subword complexes in Coxeter groups, Advances in Mathematics, vol.184, issue.1, pp.161-176, 2004.
DOI : 10.1016/S0001-8708(03)00142-7

C. Lange, Minkowski decompositions of associahedra. Preprint (20 pages) Extended abstract, 23rd International Conference on Formal Power Series and Algebraic Combinatorics, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01215039

C. W. Lee, The Associahedron and Triangulations of the n-gon, European Journal of Combinatorics, vol.10, issue.6, pp.551-560, 1989.
DOI : 10.1016/S0195-6698(89)80072-1

J. Loday, Realization of the Stasheff polytope, Archiv der Mathematik, vol.83, issue.3, pp.267-278, 2004.
DOI : 10.1007/s00013-004-1026-y
URL : https://hal.archives-ouvertes.fr/hal-00139415

V. Pilaud, Multitriangulations, pseudotriangulations and some problems of realization of polytopes, 2010.

V. Pilaud and M. Pocchiola, Multitriangulations, pseudotriangulations and primitive sorting networks Extended abstract in 25th European Workshop on, Comput. Geom, 2010.

V. Pilaud and F. Santos, Multitriangulations as Complexes of Star Polygons, Discrete & Computational Geometry, vol.16, issue.3, pp.284-317, 2009.
DOI : 10.1007/s00454-008-9078-6
URL : https://hal.archives-ouvertes.fr/hal-01185178

V. Pilaud and F. Santos, The brick polytope of a sorting network, European Journal of Combinatorics, vol.33, issue.4, 2010.
DOI : 10.1016/j.ejc.2011.12.003
URL : https://hal.archives-ouvertes.fr/hal-00778035

A. Postnikov, Permutohedra, Associahedra, and Beyond, International Mathematics Research Notices, issue.6, pp.1026-1106, 2009.
DOI : 10.1093/imrn/rnn153
URL : http://arxiv.org/abs/math/0507163

G. Rote, F. Santos, and I. Streinu, Pseudo-triangulations???a survey, Surveys on discrete and computational geometry, pp.343-410, 2008.
DOI : 10.1090/conm/453/08807