Sir Roger Penrose created tiles that, if placed according to a specific set of rules, create an aperiodic tiling. That is to say the tile pattern isn't made up of a section of tiles that can be duplicated and shifted to fill the plane. There are many excellent sites on Penrose tiling on the internet. This project will give you two patterns to help you create tiles: one pattern is of many tiles you can simply print out and cut out (not the preferred method). The other pattern gives you guides to tape onto a paper-cutter to quickly and easily create many tiles. This will be a two-step process: the first step is to cut the material you are using into strips and the second is to cut the strips into tiles.