Geodesic
Lozenge tiling function ratios for hexagons with dents on two sides
Daniel Condon1
1Indiana University
The electronic journal of combinatorics, Tome 27 (2020) no. 3
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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.
DOI : 10.37236/9363
Classification : 05B45, 05A15, 52C20
Mots-clés : dented hexagons, forced lozenges

Daniel Condon  1

1 Indiana University 
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     author = {Daniel Condon},
     title = {Lozenge tiling function ratios for hexagons with dents on two sides},
     journal = {The electronic journal of combinatorics},
     year = {2020},
     volume = {27},
     number = {3},
     doi = {10.37236/9363},
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Daniel Condon. Lozenge tiling function ratios for hexagons with dents on two sides. The electronic journal of combinatorics, Tome 27 (2020) no. 3. doi: 10.37236/9363

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