A fractal is a kind of structure. It includes smaller versions of itself which can be explored to arbitrary levels of detail. It was discovered by Benoit B. Mandelbrot who coined the name "fractal" in 1975 from the Latin fractus or "to break".

You can explore fractals with a Fractal-walker.

The
Mandelbrot set is the best known example of a fractal. The following images were created with the program Julia43 and show that a Mandelbrot set indeed includes smaller versions of it self.

To get to the last image you need to zoom and increase the level of the details. The level of the details can be increased by pushing the <+>.
You are free to
download the program Julia43 and it's sources.

See the program scene22 for an other use (3D) of the mandelbrot formula. 3D images of scene.

 

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