Realizing the associahedron: Mysteries and questions

Cesar Ceballos, Günter M. Ziegler

Published 2011-10-18Version 1

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.