Séminaire Lotharingien de Combinatoire, 85B.59 (2021), 12 pp.
Federico Castillo, Joseph Doolittle, Bennet Goeckner, Michael S. Ross and Li Ying
Minkowski Summands of Cubes
Abstract.
In pioneering works of Meyer and of McMullen in the early 1970s, the set of Minkowski summands of a polytope was shown to be a polyhedral cone called the type cone. Explicit computations of type cones are in general intractable. Nevertheless, we show that the type cone of the product of simplices is simplicial. This remarkably simple result derives from insights about rainbow point configurations and the work of McMullen.
Received: December 1, 2020.
Accepted: March 1, 2021.
Final version: April 29, 2021.
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