The Maximal Number of Vertices of The Reflexive Polytope
Engineering and Technology Journal,
2015, Volume 33, Issue 4, Pages 733-744
AbstractIn this work the basic concept of reflexive polytopeand Gorensteinpolytope and Fano with some theorems about them are given. Three standard binary operations on polytopeswhich are: the cartesian product (×), the direct sum (⊕) and the free join(⋈) are examined. Finally techniques are used to prove the conjecture |V(P)|≤6^(d/2) of the maximal number of vertices for a simplicialreflexive polytopes of even dimension.
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