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  2. Benoit Mandelbrot - Wikipedia

    en.wikipedia.org/wiki/Benoit_Mandelbrot

    Benoit B. Mandelbrot [a] [b] (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life".

  3. List of geometers - Wikipedia

    en.wikipedia.org/wiki/List_of_geometers

    Benoit Mandelbrot (1924–2010) – fractal geometry; Katsumi Nomizu (1924–2008) – affine differential geometry; Michael S. Longuet-Higgins (1925–2016) John Leech (1926–1992) Alexander Grothendieck (1928–2014) – algebraic geometry; Branko Grünbaum (1929–2018) – discrete geometry; Michael Atiyah (1929–2019) Lev Semenovich ...

  4. Mandelbrot set - Wikipedia

    en.wikipedia.org/wiki/Mandelbrot_set

    The Jonathan Coulton song "Mandelbrot Set" is a tribute to both the fractal itself and to the man it is named after, Benoit Mandelbrot. [ 46 ] Blue Man Group 's 1999 debut album Audio references the Mandelbrot set in the titles of the songs "Opening Mandelbrot", "Mandelgroove", and "Klein Mandelbrot". [ 47 ]

  5. Mandelbrot - Wikipedia

    en.wikipedia.org/wiki/Mandelbrot

    Mandelbrot may refer to: Benoit Mandelbrot (1924–2010), a mathematician associated with fractal geometry Mandelbrot set , a fractal popularized by Benoit Mandelbrot

  6. List of fractals by Hausdorff dimension - Wikipedia

    en.wikipedia.org/wiki/List_of_fractals_by...

    According to Benoit Mandelbrot, "A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension." [1] Presented here is a list of fractals, ordered by increasing Hausdorff dimension, to illustrate what it means for a fractal to have a low or a high dimension.

  7. Seven states of randomness - Wikipedia

    en.wikipedia.org/wiki/Seven_states_of_randomness

    By even portioning, Mandelbrot meant that the addends were of same order of magnitude, otherwise he considered the portioning to be concentrated. Given the moment of order q of a random variable, Mandelbrot called the root of degree q of such moment the scale factor (of order q). The seven states are:

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  9. Multibrot set - Wikipedia

    en.wikipedia.org/wiki/Multibrot_set

    In mathematics, a Multibrot set is the set of values in the complex plane whose absolute value remains below some finite value throughout iterations by a member of the general monic univariate polynomial family of recursions. [1] [2] [3] The name is a portmanteau of multiple and Mandelbrot set.

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