Mandelbrot-set meaning

män'dəl-brŏt'
The set of complex numbers C for which the iteration zn+1 = zn2 + C produces finite zn for all n when started at z0 = 0. The boundary of the Mandelbrot set is a fractal.
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The set of complex numbers C for which the iteration zn+1 = zn2 + C produces finite zn for all n when started at z0 = 0. The boundary of the Mandelbrot set is a fractal.
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(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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Origin of mandelbrot-set

  • After Benoit B. Mandelbrot (1924–2010), Polish-born American mathematician
    From American Heritage Dictionary of the English Language, 5th Edition