Newton Fractals #1626
Description
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.
- Here is a nice animation (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.
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