### An exhaustive algorithm for finding mixed tilings

**Step 1** Let be either 3, 4, 5, or 6. **Step 2** Set **Step 3** Set to be the biggest whole number less than or equal to . Note that not all can be bigger than , for otherwise

**Step 4**Suppose

September 2009

**Step 1** Let be either 3, 4, 5, or 6. **Step 2** Set **Step 3** Set to be the biggest whole number less than or equal to . Note that not all can be bigger than , for otherwise