Polytopal Complexes

A polytopal complex C is a collection of convex polytopes (called "cells") in Rd such that each face of a cell is also contained in C and such that the intersection of any two cells is again a cell. Simplicial complexes are a special case, and regular CW-complexes are more general.


  1. Ziegler: Lectures on Polytope, Springer (1995).