论文标题
倾斜一半的六角形：六角形，半hexagons，在一个屋顶下六角
Tilted Halved Hexagons: Hexagons, Semi-hexagons, and Halved Hexagons Under One Roof
论文作者
论文摘要
我们调查了一个新的区域家族，这是对瓷砖枚举领域的三个著名地区家庭的普遍概括：准常规的六角形，半hexagons和六角形的六角形。我们证明了这些新区域瓷砖数量的简单产品公式。我们的主要结果还产生了两种具有限制零件的特殊平面分区的列举。
We investigate a new family of regions that is the universal generalization of three well-known region families in the field of enumeration of tilings: the quasi-regular hexagons, the semi-hexagons, and the halved hexagons. We prove a simple product formula for the number of tilings of these new regions. Our main result also yields the enumerations of two special classes of plane partitions with restricted parts.
