# Mandelbrot set

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Related to Mandelbrot set: Julia set, Fractals

## Man·del·brot set

(män′dəl-brŏt′)
n.
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.

[After Benoit B. Mandelbrot (1924-2010), Polish-born American mathematician.]

## Mandelbrot set

(ˈmændəlˌbrɒt)
n
(Mathematics) maths a set of points in the complex plane that is self-replicating according to some predetermined rule such that the boundary of the set has fractal dimensions, used in the study of fractal geometry and in producing patterns in computer graphics
[C20: after Benoît Mandelbrot (1924–2010), French mathematician, born in Poland]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 Mandelbrot set - a set of complex numbers that has a highly convoluted fractal boundary when plotted; the set of all points in the complex plane that are bounded under a certain mathematical iterationset - (mathematics) an abstract collection of numbers or symbols; "the set of prime numbers is infinite"
Translations

## Mandelbrot set

[ˈmændəlˌbrɒtˌset] N (Math) → conjunto m de Mandelbrot

## Mandelbrot set

n (Math) → Mandelbrotmenge f
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References in periodicals archive ?
Among the details are revisiting billiards on the square table, counting periodic orbits, the Mandelbrot set from the inside out, and the entry fee: a crash course in probability theory.
Moreover, taking into account the connectedness of the Julia sets of fixed stable points and attractive fixed sets, the authors hope to build a corresponding Mandelbrot set.
Saupe, 1992, Fractals for the Classroom, Part 2: Complex Systems and Mandelbrot Set, New York: Springer.
De Bruijn sequences, the Gilbreath Principle (which lets the spectator shuffle a normal deck of cards with them still staying in an order that the magician can predict) and their connection with the Mandelbrot set (identical patterns that make up a larger identical pattern) are discussed in some detail and their applications in magic tricks dealt with.
Movie Night presents "Fractals: The Color of Infinity," about the Mandelbrot Set, a mathematical discovery; a discussion with Finley follows.
Covering in turn real dynamics and complex dynamics, they consider such topics as directional entropies of cellular automaton-maps, a monotonicity conjecture for real cubic maps, self-similarity and hairiness in the Mandelbrot set, the Fibonacci unimodal map, and the mathematical work of Curt McMullen.
The left side of the diagram resembles the leaf tent (Gaussian), but the left side shows a sequence of periodic windows wich are interwoven in the same order as the disks connected all the cardioid of the Mandelbrot set.
Further, a Mandelbrot set calculator is available at (www.
The system is based on polynomial fractal sets, specifically on the Mandelbrot set.
Kasiviswanath); (21) Generation of Fractal Music with Mandelbrot Set (S.
To further clarify my point, it will be useful to examine a peculiar resemblance between this narrative construction and a mathematical pattern known as the Mandelbrot set [see Figures 2, 3].
The real interval [-2, 1/4] is the real part of the Mandelbrot set for the family [Q.

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