To create the madelbrot call the following function:
madelbrot()It takes 3 optional arguments n, N_max, and threshold and saves the output a file called mandlebrot.png.
If no arguments are passed the functions default values are n=1000 N_max=50 and threshold=50.
To run the markov chain call the following function with values for n and N where n is the length if p in the chain and N is the size of P.
markov_chain(n, N)