A fractal is a geometric shape or quantity which displays self-similarity and non-integer dimension. The property of self-similarity applies where a self-similar object is exactly or approximately similar to a part of itself. If you zoom in on any part of a fractal, you find the same amount of detail as before. It does not simplify.

There are many mathematical structures that are fractals including the Koch snowflake, Peano curve, Sierpinski triangle, Lorenz attractor, and the Mandelbrot set. Fractals also describe many real-world objects, such as crystals, mountain ranges, clouds, river networks, blood vessels, turbulence, and coastlines, that do not correspond to simple geometric shapes.

Fractals are rooted in chaos theory, and because of their nature they are perfect for organic looking artwork and landscapes.

Fractal-generating software is any computer program that generates images of fractals. Linux has a great selection of fractal software to choose from.