Generic Fractals

Classical Mandelbrot and Julia Fractals can be generated by iterating the function Z_n+1 = Z²_n + C. In order to create other kind of fractals you can use the general function Z_n+1 = Z^m_n + C, where m can take any value greater than 2. For a given value of m the Mandelbrot fractal has m-1 branches, and for each point of the Mandelbrot set, the Julia set associated with that point has m branches. In the images bellow are presented a Mandelbrot fractal and the Julia fractal associated for the point C = 0.895+0.432056i, with the generic function having m = 6.
 

Mandelbrot

Julia