arXiv:1307.7007 Abstract | arXiv Analytics

arXiv:1307.7007 [math.CO]Abstract References Reviews Resources

Chiral extensions of chiral polytopes

Published 2013-07-26, updated 2014-04-04Version 2

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.

Comments: 21 pages. [v2] includes several minor revisions for clarity

Categories: math.CO

Keywords: chiral polytopes, chiral extensions, chiral toroidal maps, facets isomorphic, regular facets

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