Ivić Weiss, Asia; Matematični kolokvij november 2006

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Recent developments in the theory of regular polytopes

Asia Ivić Weiss

Univerza York, Toronto, Kanada

30. november 2006

The aim of this talk is to give an overview of modern developments in the theory of (abstract) polytopes. I’ll first present some key ideas concerning abstract regular and chiral polytopes. I shall then look at some recent work concerning self-duality of polytopes, connection between symmetric graphs and polytopes, realizations of regular polytopes and, as time permits, classification of locally toroidal polytopes.

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