Minkowski summands of cubes. Issue 3 (30th March 2022)

• Record Type: Journal Article
• Authors: Castillo, Federico; Doolittle, Joseph; Goeckner, Bennet; Ross, Michael S.; Ying, Li
• Is Part Of: Bulletin of the London Mathematical Society. Volume 54:Issue 3(2022)
• Page Start: 996
• Page End: 1009
• Publication Date: 2022-03-30
• Subjects: Mathematics -- Periodicals; 510
• DOI: 10.1112/blms.12610
• Languages: English
• ISSNs: 0024-6093

Abstract

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.