The Mandelbrot set (/ˈmændəlbroʊt, -brɒt/) is a two-dimensional set with a relatively simple definition that exhibits great complexity, especially as it...

Benoit B. Mandelbrot (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical...

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

Mandelbrot (Yiddish: מאַנדלברויט), with a number of variant spellings, and called mandel bread or kamish in English-speaking countries and kamishbrot in...

at various scales, as illustrated in successive magnifications of the Mandelbrot set. This exhibition of similar patterns at increasingly smaller scales...

In probability theory and statistics, the Zipf–Mandelbrot law is a discrete probability distribution. Also known as the Pareto–Zipf law, it is a power-law...

There are many programs and algorithms used to plot the Mandelbrot set and other fractals, some of which are described in fractal-generating software....

phenomenon was by Lewis Fry Richardson, and it was expanded upon by Benoit Mandelbrot. The measured length of the coastline depends on the method used to measure...

probability distribution over the trajectories of points that escape the Mandelbrot fractal. Its name reflects its pareidolic resemblance to classical depictions...

Named in honor of Benoit Mandelbrot, the Mandelbrot Competition was a mathematics competition founded by Sam Vandervelde, Richard Rusczyk and Sandor Lehoczky...

an illustrator and theologian who discovered the Mandelbrot set some 700 years before Benoit Mandelbrot. Additional details of the hoax include the rediscovery...

Benoît and the Mandelbrots, named after French American mathematician Benoît Mandelbrot, is a Computer Music band formed in 2009 in Karlsruhe, Germany...

using grids of various sizes. This vocabulary was introduced by Benoit Mandelbrot in 1964. In mathematics, self-affinity is a feature of a fractal whose...

depicting a Mandelbrot set. The parameter plane of quadratic polynomials – that is, the plane of possible c values – gives rise to the famous Mandelbrot set....

Romanesco broccoli (also known as broccolo romanesco, romanesque cauliflower, or simply romanesco) is in fact a cultivar of the cauliflower (Brassica oleracea...

fore by Benoit Mandelbrot based on his 1967 paper on self-similarity in which he discussed fractional dimensions. In that paper, Mandelbrot cited previous...

Poland to France in 1936. One of them, his nephew Benoit Mandelbrot, was to discover the Mandelbrot set and coin the word fractal in the 1970s. In 1939 he...

movies] Benoit Mandelbrot defined a different concept with the same name in his 1982 book The Fractal Geometry of Nature. In Mandelbrot's version, comedians...

In mathematics, the Weierstrass function, named after its discoverer, Karl Weierstrass, is an example of a real-valued function that is continuous everywhere...

According to Benoit Mandelbrot, "A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension...

financial securities underlying the fund's own trading positions. Benoit Mandelbrot, a French mathematician, extensively researched this issue. He felt that...

Non-fractal imagery may also be integrated into the artwork. The Julia set and Mandelbrot sets can be considered as icons of fractal art. It was assumed that fractal...

Built, and Imagined. At Yale, he was a colleague of Benoit Mandelbrot and helped Mandelbrot develop a curriculum within the mathematics department. Michael...

single point has infinite length. A famous example is the boundary of the Mandelbrot set. Fractal curves and fractal patterns are widespread, in nature, found...

of Nature is a 1982 book by the Franco-American mathematician Benoît Mandelbrot. The Fractal Geometry of Nature is a revised and enlarged version of his...

R-squared: 0.9478 F-statistic: 91.88 on 1 and 4 DF, p-value: 0.000662 This Mandelbrot set example highlights the use of complex numbers. It models the first...

segments of the H tree have been defined by Benoit Mandelbrot, and are sometimes called the Mandelbrot tree. In these variations, to avoid overlaps between...

Early versions of FRACT386 were written by Bert Tyler, who based it on a Mandelbrot generator for a TI-based processor that used integer math and decided...

called the Mandelbar set, is a fractal defined in a similar way to the Mandelbrot set, but using the mapping z ↦ z ¯ 2 + c {\displaystyle z\mapsto {\bar...

economists emigrated due to historic vicissitudes, among them Benoit Mandelbrot, Leonid Hurwicz, Alfred Tarski, Joseph Rotblat and Nobel Prize laureates...