Realization of the Stasheff polytope
Jean-Louis Loday (Irma, Cnrs, Strasbourg)
TL;DR
This paper introduces a straightforward formula for calculating the vertices of the Stasheff polytope and compares its structure to that of the permutohedron, enhancing understanding of these geometric objects.
Contribution
It provides a new simple formula for the vertices of the associahedron and offers a comparative analysis with the permutohedron.
Findings
The formula accurately computes associahedron vertices.
The associahedron's structure is contrasted with the permutohedron.
Insights into geometric relationships between these polytopes.
Abstract
We propose a simple formula for the coordinates of the vertices of the Stasheff polytope (associahedron) and we compare it to the permutohedron.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Mathematics and Applications · Polynomial and algebraic computation