Enumeration of Hybrid Domino-Lozenge Tilings II: Quasi-Octagonal Regions

  • Tri Lai
DOI: https://doi.org/10.37236/4669
Keywords: Perfect matchings, Tilings, Dual graphs, Aztec diamonds, Aztec rectangles, Urban renewal, Quasi-hexagons, Quasi-octagons

Abstract

We use the subgraph replacement method to prove a simple product formula for the tilings of an  8-vertex counterpart of Propp's quasi-hexagons (Problem 16 in New Perspectives in Geometric Combinatorics, Cambridge University Press, 1999), called quasi-octagon.
Published
2016-04-01
Issue
Volume 23, Issue 2 (2016)
Article Number
P2.2