Welcome to "Fractals" site

This site presents in a clear and simplified way the "fractal" objects, classified by category, and proposes the algorithms making it possible to generate them. Of course the list is far from being exhaustive considering it is a wide field.

Its approach is didactic, we explain here only the simplest and comprehensible parts of the theory. You will thus find for each page a sample of images or animations with fractals, short definitions, the associated algorithms, methods of constructions supported by examples, sources of programs to generate them, and some links to other web sites.

You can beforehand consult this site of introduction to the fractals helping to include/understand the theory of chaos: Introduction to Fractals (in french, for the moment).

In colloquial usage, a fractal is a shape that is recursively constructed or self-similar, that is, a shape that appears similar at all scales of magnification and is therefore often referred to as "infinitely complex." Mathematicians avoid giving the strict definition and prefer to call 'fractal a geometric object that usually

• has fine structure at each scale and can not be easily described in traditional Euclidean geometry language.
• is self-similar (at least approximatively or stochastically)
• has Hausdorff dimension greater than its topological dimension
• has a simple and recursive definition
• has natural appearance (this should be interpreted as jagged, with thorns, not smooth, whirled)