Michael Reid, University of Massachusetts
We consider polyomino "reptiles", i.e. polyominoes that tile larger copies of themselves. It is a simple observation that any polyomino that tiles a rectangle is a reptile. Whether or not the converse should be true is an intriguing question!
In this talk, we consider analogous questions in d >= 3 dimensions, where we can obtain some interesting results.
This is joint work with Robert Hochberg.