**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 …

## Mandelbrot Gallery

## 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 the set of …

## 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 of the Mandelbrot Set, …

## 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 no internal detail to render. …

## 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) = -.7, Im(c) =