Mandelbrot set, a fractal popularized by Benoît Mandelbrot
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The Mandelbrot set was created by Benoît Mandelbrot as an index to the Julia sets: each point in the complex plane corresponds to a different Julia set.
The Mandelbrot set is compact, and thus measurable; its area was estimated as 1.5065918 by Hill [1].
Mandelbrot hobbyists quickly learn to recognize the "blobby" images caused by a program mistakenly placing points in the set, and will then up the iteration count (at the expense of slowing down the calculation of every point actually in the set).
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