Yes, it must go by several names, but I could not find it on a computer search. Today my guild had a sewing day and the gal who taught it to us last year was there making, guess what, Tucker blocks! So I asked her how much she recommends for the distance of the cuts she makes from the center seams of the four-patches. She said she cuts 1-3/4 inches from the center seams if she starts with 6 or 6-1/2 inch squares. If using charm packs (5 inch beginning squares), she makes the cuts from the center seams of the four-patches 1-1/2 inches on either side. She was working with six inch squares, and her blocks looked great. Of course, it's all a matter of personal taste. I'm still wondering why it's been called the Tucker block when you can't find it called that on the internet! But I did find instructions by googling "disappearing four-patch."
By the way, the gal I referred to is from your neck of the woods, but she calls it "Minnesnowta." Cute!