Three non-equivalent realizations of the associahedron
Metric Geometry
2011-09-29 v2 Combinatorics
Abstract
We review three realizations of the associahedron that arise as secondary polytopes, from cluster algebras, and as Minkowski sums of simplices, and show that under any choice of parameters, the resulting associahedra are affinely non-equivalent.
Keywords
Cite
@article{arxiv.1006.3487,
title = {Three non-equivalent realizations of the associahedron},
author = {Cesar Ceballos and Günter M. Ziegler},
journal= {arXiv preprint arXiv:1006.3487},
year = {2011}
}
Comments
12 pages, 9 figures. The results of this preprint have been included in a more comprehensive paper, jointly with Francisco Santos, arXiv:1109.5544