to add a bit more to the previous post about chip carving, here are some details. When you isolate parts of the designs, you see things differently. Here is just one repeat of the compass-generated motif.
Then when you shift it another way, and look at the squares instead of the circles, voila.
I have have great fun with these ideas, and I always joke about my high-school math teacher rolling in her grave when I teach geometry. I was the typical wise-guy “what do I need this for?” -incredulously. Nowadays I like to think if there had been an application for it, a use for it, I might have listened better. Maybe not. Here it is drawn out on paper first, something I rarely do with gouge-cut 17th-century century carvings.
. This shot is for Bob Van Dyke.