The pinwheel is not as obvious but the tessellation becomes very obvious.
I get a super-pinwheel and a very interesting tessellating pattern.
I get many more than 4 repeats of the tessellating pattern.
This is a lot like the patterns you get using a Snail's Trail block.
This doesn't have to be done in black and white. I think a scrappy combination of lights and darks would be a great idea.
For more tessellations go to My Post by Subject in the sidebar on the right and click on Tessellation