Escher's goal was to create a cyclic bulge "having neither beginning nor end." Carried to its logical extent, the process would have generated an image that continually repeats itself, a picture inside a picture and so on, like a set of nested Russian wooden dolls.
After a recent talk Dr. Lenstra gave at Berkeley, the audience remained seated for several minutes, mesmerized by the spiraling scene.
This article goes into some detail about the recently-blogged project using Escher's "Print Gallery".
Mathematician Fills in a Blank for a Fresh Insight on Art