Realization of the Stasheff polytope

2002/12/09 by Jean-Louis Loday · 5 citations
Mathematics · #math.AT #math.CO #msc:55P35 #msc:52Bxx

paper · pdf

published as Archiv Math. 83 (2004), 267--278. · 13 pages

arxiv created 2002/12/09 · arxiv updated 2009/11/30

Abstract

We propose a simple formula for the coordinates of the vertices of the Stasheff polytope (associahedron) and we compare it to the permutohedron.

Cited by

• Amplituhedra for generic quantum processes via the TQNN representation of UQC
• Source characterization of the hypergraphic posets
• Ornamentation lattices and intreeval hypergraphic lattices
• Combinatorial generation via permutation languages. VII. Supersolvable hyperplane arrangements
• Integration of a categorical operad

Related

• Stasheff polytope as a sublattice of permutohedron
• The diagonal of the associahedra
• Parking functions and triangulation of the associahedron
• Realizing the associahedron: Mysteries and questions
• Bipermutahedron and biassociahedron