The zonotope of a root system (Q1024613)

The purpose of the paper is to explain some formulas appearing in connection with root systems and their zonotopes which are relevant for the theory of the Kostant partition function. In particular, the authors present the Tutte polynomial for all exceptional root systems by a computer assisted computation. The authors promise a more systematic treatment of these topics will appear in a forthcoming book \textit{Topics in Hyperplane Arrangements, Polytopes and Box-Splines}.