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The Electronic Journal of Combinatorics


An interval vector is a (0,1)" vector in Rn" for which all the 1's appear consecutively, and an interval vector polytope is the convex hull of a set of interval vectors in Rn" Rn. We study three particular classes of interval vector polytopes which exhibit interesting geometric-combinatorial structures; e.g., one class has volumes equal to the Catalan numbers, whereas another class has face numbers given by the Pascal 3-triangle.