Lozenge Tiling Function Ratios for Hexagons with Dents on Two Sides
Combinatorics
2020-02-13 v2
Abstract
We give a formula for the number of lozenge tilings of a hexagon on the triangular lattice with unit triangles removed from arbitrary positions along two non-adjacent, non-opposite sides. Our formula implies that for certain families of such regions, the ratios of their numbers of tilings are given by simple product formulas.
Keywords
Cite
@article{arxiv.2002.01988,
title = {Lozenge Tiling Function Ratios for Hexagons with Dents on Two Sides},
author = {Daniel Condon},
journal= {arXiv preprint arXiv:2002.01988},
year = {2020}
}
Comments
22 pages, 13 figures V2: Updated citations both in the references section and Section 1