Self-similarity
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In mathematics, a self-similar object is exactly or approximately similar to a part of itself. Many objects in the real world, such as coastlines, are statistically self-similar: parts of them show th
Close-up of a Romanesco broccoli
Mandelbrot set
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The Mandelbrot set is a two-dimensional set. It is defined in the complex plane as the complex numbers c for which the function f c = z 2 + c does not diverge to infinity when iterated starting at z =
Self-similarity
…The Cantor discontinuum is self-similar since any of its closed subsets is a continuous image of the discontinuum. The Mandelbrot set is also self-similar around Misiurewicz points. Self-similarity has important consequences for the design of computer networks, as typical network…
The Mandelbrot set plotted on the complex plane within a continuously colored environment
Gap between the "head" and the "body", also called the "seahorse valley"
Double-spirals on the left, "seahorses" on the right