Discovered by Benoit Mandelbrot in 1964.

Fractals are built using recursion, where some aspect of the limiting object is infinite and another is finite, and where at any iteration, some piece of the object is a scaled down version of the previous iteration.


The bent line-segment or figure that replaces the initiator at each iteration of a fractal.


A line-segment or figure that begins as the beginning geometric shape for a fractal. The initiator is then replaced by the generator for the fractal.

Irregular Fractals

Complex fractals whose dimension is often difficult to determine and in some cases is unknown.

See also: Julia Set, Mandelbrot Set.

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Subjects: Computing Mathematics