The Very Best Fractal & Mathematical Pictures

This gallery showcases some of our very best fractal & mathematical pictures. Start here! We have Mandelbrot & Julia Sets, Lorenz attractors, The Burning Ship, Flame fractals, Harmonographs, Buddhabrots, Menger Sponges, Sierpinskis, 3D Fractals, Fractal...

Mandelbrot Gallery

Benoit B. Mandelbrot  (20 November 1924 – 14 October 2010) was a Polish-born, French and American mathematician, noted for developing a “theory of roughness” and “self-similarity” in nature and the field of fractal geometry to help prove it, which...

Buddhabrots – Ghosts of the Mandelbrot Set

The Buddhabrot is an interesting variation on the well-known Mandelbrot Set, invented by Melinda Green in 1993. It’s a density plot of the orbits of points outside the Mandelbrot Set. The Mandelbrot Set is defined as...

Orbits of The Starship Mandelbrot, in 3D

Orbits of The Starship Mandelbrot, in 3D. In fractal mathematics, an orbit is the sequence of points in the complex plane traced out by the iteration of the function that generates the fractal. In the case...

Mandrian’s Mandelbrot Music

Mandrian is a Python + Pygame program to render the Mandelbrot Set  by sub-dividing square areas into sub-squares. If the square’s corners all have the same iteration count from the escape function we assume there’s...

Mandelbrot Song by Jonathan Coulton

A music video for the song “Mandelbrot Set” by Jonathan Coulton using public domain and creative commons pictures.   Mandelbrot Song Pathological monsters! cried the terrified mathematician Every one of them a splinter in my...

Mandelbrot Zooms

Mandelbrot Zooms: If you magnified a hydrogen atom to the size of the observable Universe, that would be a magnification of about 1036. Some of these zooms go way way way beyond that…    ...

Beyer’s Mandelbrot Zoom

Mandelbrot Zoom sequence up to 1:60,000,000,000, created by Wolfgang Beyer with the program Ultra Fractal 3. Mandelbrot set. Initial image of a zoom sequence: Mandelbrot set with continuously colored environment. Coordinates of the center: Re(c)...

Fractal Generators

GNU XaoS – GNU XaoS Fractalnow – A fast, advanced, multi-platform fractal generator. FractalNow provides users with tools to generate pictures of various types of fractals quickly and easily. It is made of both a...