Penrose Tiles are the most famous example of tiles that can make a quasiperiodic tessellation.
This was a preliminary sketch to make Penrose tiles with matching rules. That sketch has several links to learn more about these amazing structures. Plus there's Wikipedia, with a good section on this: [url]http://en.wikipedia.org/wiki/Penrose_tiling[/url]
The subsequent sketch is at [url]http://www.geogebratube.org/material/show/id/35252[/url], and it has several links for learning more about Penrose tiles.