Title	Non-flat regular polytopes and restrictions on chiral polytopes
Creator	Cunningham, Gabriel
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-08-22T11:07
Description	An abstract polytope is flat if every facet is incident on every vertex. In this talk, we prove that no chiral polytope has flat finite regular facets and finite regular vertex- figures. We then determine the three smallest non-flat regular polytopes in each rank, and use this to show that for $n \geq 8$, a chiral $n$-polytope has at least $48(n-2)(n-2)!$ flags.
Extent	28 minutes
Subject	Mathematics; Convex and discrete geometry; Group theory and generalizations; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Massachusetts Boston
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2018-03-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0364421
URI	http://hdl.handle.net/2429/64891
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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