Hanna Bennett's Solution to the Semi-regular tiling problem

Please click on the link below to see Hanna Bennett's solution to the MTCA Fall 2013 Challenge problem. Notice that when Hanna shows that all of her tilings will cover the plane, she chooses a region that will tile the plane with an order 1 tiling. The tile that creates this order 1 tiling is called a fundamental region. For the first 4 tilings, the fundamental region is made up of polygons from the regular tiling. In the last four the order 1 tiling is superposed on the semiregular tiling. The semiregular tiling can be seen as a pattern on the order 1 tiling. See if you can find other fundamental regions for the 8 semi-regular tilings that Hanna has listed here, superimposed fundamental regions for the first four and fundamental regions made up of polygons from the semi-regular tilings for the last 4.

Thank you to Hanna for sharing this very nice write-up of her solution.