Realizing the associahedron: Mysteries and questions

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Abstract

There are many open problems and some mysteries connected to the realizations of the associahedra as convex polytopes. In this note, we describe three-concerning special realizations with the vertices on a sphere, the space of all possible realizations, and possible realizations of the multiassociahedron.

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Ceballos, C., & Ziegler, G. M. (2012). Realizing the associahedron: Mysteries and questions. In Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift (pp. 119–127). Springer Basel. https://doi.org/10.1007/978-3-0348-0405-9_7

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