Djordje Baralic, Jelena Ivanovic, Zoran Petric
Published 2017-08-08Version 1
In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realized by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are "hybrids" of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane's coherence. This paper presents such a family.
Geometrical Realisations of the Simple Permutoassociahedron by Minkowski sums
On f-vectors of Minkowski additions of convex polytopes
Convex polytopes with coplanarity
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