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 properties and …

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, Mouse and …

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 rectangle to zoom in, …

The Mandelbrot set is the set of complex values c, in which the result of the iterative function f꜀ (z) never becomes arbitrarily large. The set is plotted in the 2D Complex Plane, where the x and y …

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 interested in how …

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 the complex …

After thousands or millions of iterations, you can resolve the finest details in the most complex parts of the fractal. See information on iterations, progress, and coordinates by hovering over the yellow …

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.

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 economics, …