Abstract

We have seen last time that there is bijection between domino tilings for augmented Aztec rectangles and Delannoy paths in the dual lattice graph of rectangle.
Now we consider some variants of augmented Aztec rectangle, called the chains of augmented Aztec rectangles, made from some augmented Aztec rectangles by overlapping under some rules. We will see what is the bijective model of these regions, and how to calculate the number of domino tilings for these.