Polyominos are extensions of dominos: they are shapes in the plane constructed by joining unit squares along their edges. A famous example of polyominos is the tiles in TETRIS. Polyominos have been studied for almost 70 years, and are a popular topic in recreational mathematics. Surprisingly, polyominos also serve as models in the Ising Model of ferromagnetism, and for large branch dilute polymers.

In this talk, I will present some results on the enumeration of different types of polyominos and discuss an extension of polyominos to other shapes, like unit triangles.

Note: Free refreshments.