The Mandelbrot Set and Julia Sets

Scalings in the Mandelbrot Set

Hurwitz-Robucci scaling - Convergence of Rescaled Polynomials

So g_n(e) = f_n(-2 + e/r_n) = f_n(-2 + 6e/4ⁿ). Here we plot the graphs of the first few g_n.

Click the picture to animate.

The animation suggests good convergence of the g_n(e).

Return to Hurwitz-Robucci scaling.