Black & White Harmonographs

Black & White Harmonographs. Because colour gets boring after a while… Harmonographs are those devices often seen in science museums, that consist of a pen connected to a number of pendulums, suspended over a sheet...

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...

Lorenz Attractor

These 3D pictures (except the last) were generated by a Python + Vpython program, translated from Paul Bourke’s C program (which has a bunch more pretty pictures). See below for code. The Lorenz system is a...

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...

Fractal Python Programs

These fractals were generated by Python programs from the Active State website. They often make use of recursion. Recursion is the process of repeating items in a self-similar way. For instance, when the surfaces of...

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...

Online 3D Harmonograph

Online 3D Harmonograph This is an online 3d harmonograph version of those harmonograph devices often seen in science museums – except that instead of drawing pretty harmonic patterns on paper, here we plot them in...