Mandelbrot set

Noun

Meaning

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 iteration

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Examples

The Mandelbrot set covers a small space yet carries a large number of different implications. Is it a fitting epitaph? Absolutely. Benoît Mandelbrot

Analogous to the exterior case, once b is found, we know that all points within the distance of b/4 from c are inside the Mandelbrot set. Source: Internet

A picture of the Mandelbrot set can be made by coloring all the points that belong to M black, and all other points white. Source: Internet

An occurrence of in the Mandelbrot set fractal was discovered by David Boll in 1991. citation He examined the behavior of the Mandelbrot set near the "neck" at (−0.75, 0). Source: Internet

Calculating all of the points for a Mandelbrot set is a comparable activity that would seem tedious today but would be routine for people of the time. Source: Internet

As this sequence is unbounded, 1 is not an element of the Mandelbrot set. Source: Internet

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