Chiral extensions of chiral polytopes
arXiv:1307.7007
Abstract
Given a chiral d-polytope K with regular facets, we describe a construction for a chiral (d + 1)-polytope P with facets isomorphic to K. Furthermore, P is finite whenever K is finite. We provide explicit examples of chiral 4-polytopes constructed in this way from chiral toroidal maps.
21 pages. [v2] includes several minor revisions for clarity