Polytopes associated to Dihedral Groups

Barbara Baumeister, Christian Haase, Benjamin Nill, Andreas Paffenholz

Published 2012-12-18Version 1

In this note we investigate the convex hull of those $n \times n$-permutation matrices that correspond to symmetries of a regular $n$-gon. We give the complete facet description. As an application, we show that this yields a Gorenstein polytope, and we determine the Ehrhart $h^*$-vector.