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, …

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

Explore the famous Mandelbrot Set fractal with a fast and natural real-time scroll/zoom interface, much like a street map. You can view additional useful information such as the graph axes and the …

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 …

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 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 origin, no …

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 …

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, …