It is not hard to see that we can use 32 dominos to cover the squares of a chessboard, where each domino covers two adjacent squares. But in how many ways can a chessboard be tiled in this way? Can we still do it if we remove a corner square and the square from the opposite corner? We will talk about these questions and many others that highlight the fun and intrigue of tilings.

The slides in pdf (1.2 MB), ps (7.8 MB), ps.gz (1.2 MB).