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 …

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, …

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 …

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 …

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

From its humble beginnings as a curiosity explored by Benoit Mandelbrot, to its current status as an icon of fractal geometry and a source of endless visual wonder, the Mandelbrot Set has left …

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 …

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 …

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 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 …