Julia sets

One of the most basic fractal types is the family of Julia sets, discovered by the French mathematician Gaston Julia during the first World War. Julia sets are created by a simple formula with one complex parameter called c or seed. This parameter can be varied to create many variations. Here are a few examples.

Julia sets are also self-similar, as illustrated by the following zooms into the last image above. The first zoomed image shows the top of the original. Further zooms are illustrated by the small red rectangles in the images.

The same spiral-like shape is repeated over and over again.

It can be difficult to find good values of the c parameter. Fortunately, the Mandelbrot set, which is discussed next, can help you with that.

Next: The Mandelbrot set

See Also
What are fractals?