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Trees and ferns are fractal in nature and can be modeled on a computer by using a recursive algorithm. Description from I searched for this on

Fractal_Art_3D_Grand_Julian_05_by_cvadrat.jpg (1024×769)

The Mandelbrot set is a pattern of geometric points that repeats within itself (meaning that any image you take of a particular section of the set can be replicated by zooming in or out) and and is infinitely complex; it is what’s known as a fractal.

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35 Phenomenal Fractal Art Pictures

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J.M. Berger (fractal) - looks like a wave