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Convex hulls of polyominoes
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math.CO
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convexhullpolyominoesareasarticlebezdekbrassconcerning
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In this article we prove a conjecture of Bezdek, Brass, and Harborth concerning the maximum volume of the convex hull of any facet-to-facet connected system of n unit hypercubes in the d-dimensional Euclidean space. For d=2 we enumerate the extremal polyominoes and determine the set of possible areas of the convex hull for each n.
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