This material has been published in
Europ. J. Combin. 27 (2006), 1138-1146, the only definitive repository of the content that has been
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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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