An ordinary checkerboard. The relaxed boundary conditions cause the whole tiling to be random.

This is a diamond shaped region composed of squares covered with ordinary dominos. This is the most studied of all regions.

This is an orinary hexagon covered with "lozenges." It appears as if it were a box with many blocks placed inside it.

This near diamond shaped region is covered with "diabolos." It looks neat, but takes longer to form.

This region takes even longer than a fortress to form, but the variety of local patterns that emerge make it worth the wait.