banner

About fractals

Fractals are mathematical objects created by repeatedly applying a function to points on the plane of complex numbers and feeding the output back as input for the next iteration. Fractals display self-similarity and infinite complexity, so that ideally you can magnify part of a fractal image by any amount and see the larger design repeated within it at this smaller scale.

In practice, it isn't possible to zoom in without limit on these images thanks to the finite numerical precision of computers, but still the basic properties of fractals can be demonstrated. The screen stands in for the complex plane, and the pixels of the screen are the starting points for any particular function that generates a fractal.

You can see the (graphics intensive) gallery of fractals on this site, and here are some fractal-related links and other sites with galleries of fractals.