These two tilings use a repeating unit made up of a pentomino and a heptomino (or one duodeconomino if you're crazy), but the repeating unit for a tiling can be any combination of on or more polyominoes. When i want to make a tiling I just take the polyominoes I want to use and put them together in different ways until I have a repeating unit that satisfies one of the tiling criteria.

The two different tilings use the same repeating unit as a way to demonstrate the 2 different methods I use to make tilings. The first one uses the conway criterion which i am not going to explain here, look it up on wikipedia. I don't know if the second one has a formal name so I have dubbed it the parallellogram criterion. It uses only translation, no rotation, I think you can figure out how it works by looking at the diagram.

@omniscientraisinn hope you don't die from looking at these