Hold on to your hats!
Sue from CA has shared a new-to-me technique for making 4-patches. I found a link to a video here:
(Look at the side bar of mypassionforquilting.blogspot.com for links to more blogs with free patterns or tutorials.)
Now the question is how to size the pinwheel and the 4-patch so they end up being the same size.
The pinwheels lose 1 inch to seams so seems to me if you started with 6 7/8 fabric and do the 4-patch method described here the blocks would be the same as the pinwheels.
Have to think a bit to do the math so the pinwheels would end up the same as the 4-patches....