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A fractal is a shape which is generated mathematically.
While the form of a fractal can be very detailed and intricate the mathematical expression responsible for the fractal is usually quite simple. 'Zooming' in repeatedly on a true fractal shape reveals ever more structure - the details repetitive yet never quite the same.
Fractal forms abound in nature; a tree, a fern leaf, a cloud, a coastline, are all fractal in character.
Fractal art is where art and mathematics meet.