Three non-equivalent realizations of the associahedron

Details Three non-equivalent realizations of the associahedron Three non-equivalent realizations of the associahedron

2010-06-17

arxiv.org/abs/1006.3487v2

Mathematics

Metric Geometry

12 pages, 9 figures. The results of this preprint have been included in a more comprehensive paper, jointly with Francisco San

Scientific paper

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.

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