Using the three tiles above and at least one of each, how many distinct ways are there to tile the plane? Try it yourself on graph paper, and see how many different ways you can tile the plane.
I was originally doodling on my graph paper in my free time while at Science Team practice, and I fit each of these pieces where ever I found applicable. I was surprised to find my resulting titling perfectly uniform, with a well-defined repeating pattern. You can try it out yourself, to see if you make a repeating pattern or not.
Have fun exploring!