How can we tell if a certain cycle belongs to a disc or a cadrioid? Is there any way to analyze this pattern? There is, an algorithm developed by Lavaurs.
| The doubling map identifies cycles on the unit circle. |
| Here is the algorithm developed by Lavaurs. |
| The period of the points under the doubling map correspond to the periods of the components of the abstract Mandelbrot set. |
Return to Combinatorics in the Mandelbrot Set.