Polytropes and Associahedra

From CRCG-Wiki

A polytrope is a tropical polytope which at the same time is convex in the ordinary sense. In this talk, I will present some results on polytropes and we prove that each d-dimensional polytrope is a tropical simplex, that is, it is the tropical convex hull of d+1 points. One famous representative is the associahedron. Seen as a polytrope we will get to know some properties of it, i.e., its diameter.