Fractal Geometry...

... is based on the idea of scale invariance which means that a figure is the same, or is invariant, no matter on what scale it is observed. In other words, the figure is constructed by repeating the same pattern at smaller and smaller scales. The fern is certainly one of the best examples for understanding this idea: a small part of the figure when enlarged reproduces the original figure (or if you will, the part contains the whole). An object which possesses this property is called a fractal. From a mathematical point of view, the repetition of patterns at smaller and smaller scales can be continued to infinity. In the real word, nevertheless, the repetition stops after a certain number of jumps.

Fractcal ;-)