The Mandelbrot Set and Julia Sets

Scalings in the Mandelbrot Set

Hurwitz-Robucci scaling - Rescaled Polynomials

Instead of using c as a variable, we measure the distance from the accumulation point -2.

Moreover, we magnify the scale by an amount r_n depending on n.

That is, we use as our distance measure e, where

c = -2 + e/r_n.

In terms of the distance e, we are interested in the zeros of the functions

g_n(e) = f_n(-2 + e/r_n).

Once we find the appropriate scaling factor r_n, we hope to show g_n(e) -> g(e), a universal function from which all the 0s can be derived.

Return to Hurwitz-Robucci scaling.