Each branch of the fractal tree is a replica of the base of the tree. Also, fractal trees are symmetrical.
Newton’s Fractal is started at each point on a grid in the complex plane, and a color is assigned to each point according to which of the roots of a given function the iteration converges to.
The Mandelbrot Fractal consists of all of those (complex) c-values for which the corresponding orbit of 0 under x2 + c does not escape to infinity.
The Julia Fractal is associated with those points z = x + iy on the complex plane for which the series Zn+1 = Zn2 + c does not tend to infinity.
Random Fractal grow stochastically with the probability that is closely related to the solution of Laplace equation. It is found that the random growth with screening effect makes the pattern fractal.