Saturn's Rings

Since their discovery by Galileo, Saturn's rings have excited the imaginations of many astronomers. As telescopes improved, the Casini division was discovered, showing the ring is not a single solid. The Voyager pictures revealed the rings are agglomerations of billions of small moons (and incidently, that Saturn is not the only ringed planet). Click on each picture to magnify.
On page 81 of Mandelbrot's The Fractal Geometry of Nature, we find observation that Saturn's rings are a collection of circles arranged radially as a Cantor set. An analytical approach to this was given by Avrin and Simon.