Make-Your-Own Julia Sets

The first thing you must do is specify the parameter for generating the Julia set. The parameter "c" has two parts. One part is called "real," and the other is called "imaginary." Each iteration will be z = z^2+c, where c is your parameter.

If you'd rather, you can go to the Make-Your-Own Mandelbrot Set page, and pick parameters for Julia sets using the Mandelbrot set. By picking points near the complicated "edge" of the Mandelbrot set, you can know that the Julia set will be interesting.

To learn more about Julia sets, go here. To learn more about how fractals like these are generated, go here.

If you find a fractal you like, share it! Post a message that includes your fractal by scrolling to the bottom of the page after you make your fractal.

Some sample values:
 Real      Imaginary
 0.32       0.043
 -0.744     0.097
 0.354      0.536
 -0.420     0.986
You can try these values to start, or make up your own. The values should always both be between -2 and 2, but better values are usually between -1 and 1.
Real part of C
Imaginary part of C
Select a palette:


Please understand that fractals are very computation intensive. Your fractal may take a few seconds to generate, and it will take longer as you zoom in more (although no longer than 15 seconds, unless the server is really busy). Also understand that the server has only a limited degree of mathematical accuracy, so once you zoom past a certain critical depth, your image will start to become pixelated.