| The sequence of discs attached immediately to the left
of the main cardioid correspond to a stable 2-cycle,
4-cycle, 8-cycle, ..., and so is called the
period-doubling cascade. |
| Here we measure the diameters of the components in
order to discover a pattern in how the components shrink. |
| The limit of the ratios of the diameters of successive compnents
is an instance of the Feigenbaum scaling. |
| The Mandelbrot set exhibits many other scalings
of the size of and distance between components. |
| The Hurwitz-Robucci scaling is an interesting example
because it scaling equation can be solved exactly and the scaling ratio derived. |
