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?

Julia

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