Enumeration of Hybrid Domino-Lozenge Tilings II: Quasi-octagonal regions

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.

arXiv comment25 pages; fixed typos

References in corpus (3)

• Alternating sign matrices and domino tilings
• The shape of a typical boxed plane partition
• Enumeration of tilings of diamonds and hexagons with defects