Mihai Ciucu, Christian Krattenthaler
Published 2012-10-19Version 1
A classical theorem of MacMahon states that the number of lozenge tilings of any centrally symmetric hexagon drawn on the triangular lattice is given by a beautifully simple product formula. In this paper we present a counterpart of this formula, corresponding to the {\it exterior} of a concave hexagon obtained by turning 120 degrees after drawing each side (MacMahon's hexagon is obtained by turning 60 degrees after each step).
Another dual of MacMahon's theorem on plane partitions
Enumeration of lozenge tilings of hexagons with cut off corners
Plane partitions I: a generalization of MacMahon's formula
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