Polygons are initially arranged in an by grid pattern. The "offset" slider shifts the odd numbered rows and columns of polygons. The "distortion" slider changes the polygons. A color region is displayed where an odd number of polygons overlap. The "resolution" slider changes the number of sides of each polygon, while the "radii" slider changes the size of each polygon.
This Demonstration uses the aflexipol function from Michael Schreiber, "Odd Disk Overlap".