fractals fun

you can make your own fractal with software FRAQTIVE . It has quite enough options for the user to choose , like the fractal  set (Mandelbrot or Julia ) , the exponent of the formula which you are graphing , which is , colours , 2D or 3D , rotation,zoom-in-out , and of course when you receive the result you want you can export it as a PNG image .

The Julia set consists of values such that an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values(chaotic behavior ) .In complex dynamics and for any function on C  , there is also the Fatou set , the set of the function consists of values with the property that all nearby values behave similarly under repeated iteration of the function .These two sets are complementary sets.