Lozenge Tiling Function Ratios for Hexagons with Dents on Two Sides
arXiv:2002.01988
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.
22 pages, 13 figures V2: Updated citations both in the references section and Section 1