Cyclically Symmetric Lozenge Tilings of a Hexagon with Four Holes
Séminaire lotharingien de combinatoire, 80B (2018)
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Mills, Robbins, and Rumsey's work on cyclically symmetric plane partitions yields a simple product formula for the number of lozenge tilings of a regular hexagon, which are invariant under rotation by 120o. In this extended abstract, we generalize this result by enumerating the cyclically symmetric lozenge tilings of a hexagon in which four triangles have been removed in a symmetric way.