The mathematical study of the Mandelbrot set really began with work by the mathematicians Adrien Douady and John H. Hubbard (1985), [19] who established many of its fundamental …

This is a famous fractal in mathematics, named after Benoit B. Mandelbrot. It is based on a complex number equation (z n+1 = z n2 + c) which is repeated until it: Click and make a …

Nov 16, 2025 · Benoit Mandelbrot was a Polish-born French American mathematician universally known as the father of fractals. Fractals have been employed to describe diverse behaviour in …

Dec 3, 2025 · The term Mandelbrot set is used to refer both to a general class of fractal sets and to a particular instance of such a set. In general, a Mandelbrot set marks the set of points in …

Explore Mandelbrot and Julia sets by successive zooms in real time.

The mathematician Benoit Mandelbrot was born in Poland, grew up in France, and eventually moved to the United States. He was one of the pioneers of fractal geometry, and particularly …

Intuitive, easy-to-use Mandelbrot set viewer web app. Explore the famous fractal on mobile and desktop. Fast, high resolution Zoom, Nice color themes, Fullscreen, PNG export - Touch, …

The Mandelbrot set is defined as all points C for which Z remains finite when iterated forever. It will "orbit" around the origin, spinning around but never moving farther away than a distance of 2.

The Mandelbrot Set is defined by a test: each point in the plane is subjected to a geometric transformation over and over again. If the resulting sequence of points all stay close to the …

Essentially, the Mandelbrot set is generated by iterating a simple function on the points of the complex plane. The points that produce a cycle (the same value over and over again) fall in …