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arXiv 2013-07-26 0 views

Chiral extensions of chiral polytopes

Cunningham, Gabe · Pellicer, Daniel

Original · EN

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.

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