Assume you are generating a set of points (xi, yi) where x1 = 0 and y1 = 0. The points (xi, yi) for i = 2,...,n are generated according to the following probabilistic relationship: Try your function...

Assume you are generating a set of points (xi, yi) where x1 = 0 and y1 = 0. The points (xi, yi) for i = 2,...,n are generated according to the following probabilistic relationship:

Try your function for n = 10000. The image generated is called a stochastic fractal. Many times it is cheaper (i.e., requires less space) to store the fractal generating code rather than the image. This makes stochastic fractals useful for compressing images.