Mandelbrot set

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Initial image of a Mandelbrot set zoom sequence with a continuously colored environment.

Noun

Mandelbrot set (plural Mandelbrot sets)

  1. (mathematics) the set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial zn+1 = zn2 + c remains bounded. The boundary of this set is a fractal.

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See also