A Class of Cellulated Spheres with Non-Polytopal Symmetries
A Class of Cellulated Spheres with Non-Polytopal Symmetries
Abstract We construct, for all d ≥ 4, a cellulation of . We prove that these cellulations cannot be polytopal with maximal combinatorial symmetry. Such non-realizability phenomenon was first described in dimension 4 by Bokowski, Ewald and Kleinschmidt, and, to the knowledge of the author, until now there have not …