| Mandelbrot sets | Julia sets |
|---|---|
| A very famous fractal is obtained from the Mandelbrot set, which is a set of complex values z that do not diverge under squaring transformation z0=z zk=z2k-1+z0 k=1, 2, 3. |
For some functions, the boundary between those points that move towards those points that move towards infinity and those that tends toward a finite limit is a fractal. The boundary of the fractal is called the Julia set. |
| It is the black inner fragment, which develops to consist of a cardioid along with several wart-like circles glued to it. Its border is complicated, and this complexity can be explored by zooming in on a portion of the border | Julia sets are extremely complicated sets of points in the complex plane. There is a various Julia set Jc for each value of c. |
