On the Number of Distinct Tilings of Finite Subsets of ${\mathbb{Z}}^d$ With Tiles of Fixed Size

Jesse Stern

In this work, we study the number of finite tiles $A\subset {\mathbb{Z}}^d$ of size $\alpha$ that translationally tile a finite $C\subset {\mathbb{Z}}^d$. We consider two tiles $A$ and $A…