Generating combinatorial complexes of polyhedral type

Abstract

ABSTRACT. The paper describes a method for generating combinatorial complexes of polyhedral type. Building blocks B are implanted into the maximal simplices of a simplicial complex C, on which a group operates as a combinatorial reflection group. Of particular interest is the case where B is a polyhedral block and C the barycentric subdivision of a regular incidence-polytope K together with the action of the automorphism group of K.