On the aesthetics of inversion and osculation

Generation of advanced Escher-like spiral tessellations

“…"Whirlpools" in style and concept can be described as the nearest relation to our work here. In turn, these artworks inspired many studies devoted to the creation of computer-generated spiral patterns [6,8,11,27,28,35]. However, although spiral tilings are very decorative, there is extremely little mathematical literature on the subject (as against studies of the spiral itself), as first pointed out by Grünbaum and Shephard [13], which might otherwise have been thought studied much more than has happened.…”