Pretty Math Pictures

Online 3D Harmonograph This is an online 3d harmonograph version of those harmonograph devices often seen in science museums –… read more Online 3D Harmonograph

The main requirement for a ‘natural fractal’ is that it should look self-similar over a range of scales. That is,… read more Fractals in Nature

Forget Hubble – check out these amazing breath-taking pictures from the Fractal Space Microscope! I made these pictures with JWildfire… read more Astronomy with a Fractalscope

Abstract expressionism is a post–World War II art movement in American painting, developed in New York in the 1940s. It… read more Abstract Fractal Flames

I wish that I could claim these pictures were the result of artistic inspiration after years of starving struggle and… read more Alien Life Forms

Mandrian is a Python + Pygame program to render the Mandelbrot Set  by sub-dividing square areas into sub-squares. If the… read more Mandrian’s Mandelbrot Music

Not fractals – but still, pretty math pictures… These were created with the following Python program (MIT license; download from… read more Spectral Harmonographs

Mandelbrot Zoom sequence up to 1:60,000,000,000, created by Wolfgang Beyer with the program Ultra Fractal 3. Mandelbrot set. Initial image… read more Beyer’s Mandelbrot Zoom

Recall that the Mandelbrot set arises from iterating the complex function z2 + c, where c is a set of… read more Julia Sets

The Burning Ship fractal process is similar to the Mandelbrot Set process, but now the real and imaginary components of z are replaced… read more The Burning Ship

The Mandelbulb is a three-dimensional analogue of the Mandelbrot set, constructed by Daniel White and Paul Nylander using spherical coordinates in… read more 3D Fractals

This is a simple Python program to display the whole Mandelbrot set. Well, not every point from the infinite set,… read more Mandelbrot Set in Python & Pygame