Sorbi – Newton Fractals

I give you Sorbi – a program I’ve written for generating newton fractals.

Some Pretty Pictures

These have been generated using Sorbi.

What are Newton Fractals?

Newton Fractals are a type of iterated fractal, created when performing the Newton-Raphson iteration on the complex plane.

Newton-Raphson Iteration

$z_{n+1} = \frac{f(z_n)}{f'(z_n)}$

The resulting fractals can be coloured by root reached, or by the number of iterations required to reach the root (or various other methods, such as the value of $arg(z_n)$ after $n$ iterations.

How do I get the program?

Pull from git

 git pull git://github.com/bavardage/sorbi.git 

…And run the program

 sorbi/gui.py 

Requirements:

• python
• pygtk
• numpy
• PIL – ‘Python Imaging Library’