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

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

2003-10-13

arxiv.org/abs/math/0310188v1

Europ. J. Combin. 27 (2006), 1138-1146.

Mathematics

Combinatorics

8 pages, AmS-TeX

Scientific paper

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

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