Hebrew University of Jerusalem
Friday, May 18 at 12:30 PM
A fan associated to a pointed simplex is a set of d+1 cones that are spanned by the point and the facets of the simplex. Taking n translates of a fan gives a conical decomposition of the space. We show that the number of regions in such decomposition is independent of the of the translation vectors, assuming some form of generality. We also show that this result is equivalent to the discrete version of a mass partition theorem of Vrecica and Zivaljevic.
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