Polytopes associated to Dihedral Groups
  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. 
Barbara Baumeister, Christian Haase, Benjamin Nill, Andreas Paffenholz
math.CO math.GR math.RT