The Mandelbrot set is widely considered the most popular fractal, [45] [46] and has been referenced several times in popular culture. The Jonathan Coulton song "Mandelbrot Set" is a tribute to both the fractal itself and to the man it is named after, Benoit Mandelbrot.

Explore the infinite complexity of the Mandelbrot Set with this online fractal viewer. Zoom in and generate high resolution images.

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 corresponding Julia set for any point in the picture.

An interactive WebGL implementation of the most famous fractal – The Mandelbrot Set. You can zoom in and out and move around to explore this beautiful fractal.

What is a Mandelbrot Fractal? A Mandelbrot fractal is an image that is produced by recursively repeating a particular mathematical formula over and over again. This mathematical formula uses complex numbers so it's not a straight forward calculation.

This fractal is called the Mandelbrot set, and when rotated by 90°, it looks almost like a person, with head, body and two arms. It was defined and drawn for the first time in 1978, in a research paper by the mathematicians Robert Brooks and Peter Matelski:

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 zoom number under each window.

2025年1月31日 · 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 plane such that the corresponding Julia set is connected and not computable.