Powers of the mandelbrot set

Each pixel in this 2d graph represents a number with an imaginary component and a real component.
They are colored white or black depending on if the following series diverges to infinity.
Form of the function: f(z) = z^n +c
f(0) = 0^n + c
f(f(0)) = c^n + cf(f(0)) = (c^n+c) ^n +c
.... and so on onto infinity.
If the series f(0), f(f(0)), f(f(f(0))) ... does not increase into infinity, then the pixel associated with the number c is colored white. In this animation, I increase the power n from 0.1 to 20. Enjoy.

#math #fractals