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arXiv · 1410.8116

A new proof for the number of lozenge tilings of quartered hexagons

Tri Lai
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Abstract

It has been proven that the lozenge tilings of a quartered hexagon on the triangular lattice are enumerated by a simple product formula. In this paper we give a new proof for the tiling formula by using Kuo's graphical condensation. Our result generalizes a Proctor's theorem on enumeration of plane partitions contained in a "maximal staircase".

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Tri Lai. 2015-04-26. A new proof for the number of lozenge tilings of quartered hexagons. https://arxiv.org/abs/1410.8116

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