Mandelbrot set


Man·​del·​brot set ˈman-dəl-ˌbrät- How to pronounce Mandelbrot set (audio)
: a fractal that when plotted on a computer screen roughly resembles a series of heart-shaped disks to which smaller disks are attached and that consists of a connected set of all points c in the complex plane for which the recursive expression zn+1 = zn2 + c for n = 0, 1, 2, 3,  … with the starting value z0 = 0 remains bounded as n approaches infinity

Examples of Mandelbrot set in a Sentence

Recent Examples on the Web The complexity of the Mandelbrot set emerges in part because it is defined in terms of numbers that are themselves, well, complex. Jordana Cepelewicz, Quanta Magazine, 27 Feb. 2024 The Prize Fighters The Mandelbrot set began with a prize. Quanta Magazine, 26 Jan. 2024 And a friend of my mother’s gave me this program that could draw a Mandelbrot set on one of these little graphics calculators. Leila Sloman, Quanta Magazine, 12 Jan. 2024 Images from the field of fractal geometry entered popular culture in the mid-1980s via wildly colored, psychedelic images of a fractal that Mandelbrot investigated and now bears his name, the Mandelbrot set. Marissa Fessenden, Scientific American, 21 Dec. 2012 Others show hints of shapes that foreshadow the iconic Mandelbrot set. Marissa Fessenden, Scientific American, 21 Dec. 2012

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'Mandelbrot set.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History


Benoit Mandelbrot

First Known Use

1984, in the meaning defined above

Time Traveler
The first known use of Mandelbrot set was in 1984

Dictionary Entries Near Mandelbrot set

Cite this Entry

“Mandelbrot set.” Dictionary, Merriam-Webster, Accessed 28 May. 2024.

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