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Type: Article
Chiral extensions of chiral polytopes
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.
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.
Keywords: Regular Polytopes; Monodromy
MSC: 52B15 (05C90 52B05 52B12)
Journal: Discrete Mathematics
ISSN: 1872-681X
Year: 2014
Volume: 330
Pages: 51-60
Created: 2014-08-18 11:05:18
Modified: 2015-03-17 13:16:16
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