Tilted Halved Hexagons: Hexagons, Semi-hexagons, and Halved Hexagons Under One Roof
Combinatorics
2020-06-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2006.10826,
title = {Tilted Halved Hexagons: Hexagons, Semi-hexagons, and Halved Hexagons Under One Roof},
author = {Tri Lai},
journal= {arXiv preprint arXiv:2006.10826},
year = {2020}
}