Minkowski Summands of Cubes

Federico Castillo*, Joseph Doolittle, Bennet Goeckner, Michael S. Ross, Li Ying

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


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.
Original languageEnglish
Article number59
Number of pages12
JournalSéminaire Lotharingien de Combinatoire
Publication statusPublished - 2021
Event33rd Conference on Formal Power Series and Algebraic Combinatorics: FPSAC 2021 - Virtuell, Israel
Duration: 17 Jan 202220 Jan 2022


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