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. © 2014 Elsevier B.V. All rights reserved.
Cunningham, G., & Pellicer, D. (2014). Chiral extensions of chiral polytopes. Discrete Mathematics, 330, 51–60. https://doi.org/10.1016/j.disc.2014.04.014