The components of the map contain the attracting points that are the solutions to . This is because the map is the one to use for finding solutions to the equation by
Newton–Raphson formula. The solutions must naturally be attracting fixed points.
Dynamic plane consist of Fatou 2 superattracting period 1 basins, each has only one component.
Level curves and rays in superattractive case
Julia set with superattracting cycles (hyperbolic) in the interior ( perieod 2) and the exterior (period 1)
and t = 0.6151732... will produce a Herman ring. It is shown by
Shishikura that the degree of such map must be at least 3, as in this example.
More than one type of component
If degree d is greater than 2 then there is more than one critical point and then can be more than one type of component