Note dual polytopes of rational convex polytopes
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LetP⊄ ℝd be a rational convex polytope with dimP=d such that the origin of ℝd is contained in the interiorP − ∂P ofP. In this paper, from a viewpoint of enumeration of certain rational points inP (which originated in Ehrhart's work), a necessary and sufficient condition for the dual polytopePdual ofP to be integral is presented.
AMS Subject Classification code (1991)52 B 20
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- T. Hibi: A combinatorial self-reciprocity theorem for Ehrhart quasi-polynomials of rational convex polytopes,European J. Combinatorics, to appear.Google Scholar