This material has been published in Europ. J. Combin. 27 (2006), 1138-1146, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Elsevier Publ. This material may not be copied or reposted without explicit permission.

Christian Krattenthaler

Descending plane partitions and rhombus tilings of a hexagon with triangular hole

(9 pages)

Abstract. It is shown that the descending plane partitions of Andrews can be geometrically realized as cyclically symmetric rhombus tilings of a certain hexagon of which a centrally located equilateral triangle of side length 2 has been removed. Thus, the lattice structure for descending plane partitions, as introduced by Mills, Robbins and Rumsey, allows for an elegant visualization.

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