The complete Mandelbrot set, probably the best-known fractal.

Below, the area in the red box has been magnified ten times.

Another power of ten reveals the Mandelbrot set again. It has been rotated with respect to the original, and is surrounded by patterns of tendrils. The M-set contains an infinite number of such copies of itself, each with a different outer pattern. The designs get more complex as magnification increases.

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All images 1999-2001 Morgen Bell