Author: Mandrian

Posted in 3D Harmonograph

Online 3D Harmonograph

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

Posted in Natural

Fractals in Nature

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

Posted in Flame

Astronomy with a Fractalscope

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

Posted in Flame

Abstract Fractal Flames

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

Posted in Flame

Alien Life Forms

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

Posted in Mandelbrot Program

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… read more Mandrian’s Mandelbrot Music

Posted in Harmonograph Program

Spectral Harmonographs

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

Posted in Mandelbrot Zoom

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… read more Beyer’s Mandelbrot Zoom

Julia Set
Posted in Julia Set

Julia Sets

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

Burning Ship
Posted in Fractal

The Burning Ship

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

Mandelbulb
Posted in 3D

3D Fractals

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

Posted in Mandelbrot Program

Mandelbrot Set in Python & Pygame

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