One of my favorite past-times in high school was creating tile patterns that would create larger patterns when laid out on a floor.
Click on the pattern under any "Rotation" column to see a full page view of the tile pattern.
If you are curious how I developed these, you can read it in my book
Tile Patterns: Symmetry-Based Replication,
which also contains full page illustrations of these patterns.
You can also buy my 11 x 8½ Patterns Coloring Book from Amazon.com,
or by sending me an email.