# Packing polyominoes

Given a group of polyominoes, an interesting question to ask is whether that group can completely cover some shape, such as a rectangle. For example, the set of pentominoes can completely fill a 6 by 10 rectangle:

These *packing problems* are some of the most well studied aspects of polyominoes. Using advanced algorithms, people have made beautiful patterns using large numbers of polyominoes. I've reprinted some of my favorites in this section.