Newton Fractals

### Newton Fractals!


I challenge you to generate a Newton Fractal! Bonus points if you animate it. These images are graphical representations of Newton's method to approximate roots of functions. In the image above, the function is *f(x) = x³-1* which has 3 roots (1, -0.5 + 0.866\*i, -0.5 - 0.866\*i). Each root gets a color. The starting point (a pixel on the complex plane) is colored based on which root it converges to.

- Here is the [Wikipedia page for Newton Fractals](https://en.wikipedia.org/wiki/Newton_fractal).
- Here is a [nice animation](https://en.wikipedia.org/wiki/Newton_fractal#/media/File:NovaFractal_p(z)=z%C2%B3-1_c=-1%E2%86%921.gif) (this one takes a bit to load.
- The Wikipedia page includes some pseudo code to get you started, its kind of similar to the Julia set video.