The Centers of Gravity of the Associahedron and of the Permutahedron are the Same

  • Christophe Hohlweg
  • Jonathan Lortie
  • Annie Raymond
DOI: https://doi.org/10.37236/344

Abstract

In this article, we show that Loday's realization of the associahedron has the the same center of gravity as the permutahedron. This proves an observation made by F. Chapoton.

We also prove that this result holds for the associahedron and the cyclohedron as realized by the first author and C. Lange.

Published
2010-05-14
Issue
Volume 17 (2010)
Article Number
R72