Category: 3D

Posted in 3D Chaos Theory Flame Harmonograph Julia Set Mandelbrot Natural

The Very Best Fractal & Mathematical Pictures

This gallery showcases some of our 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 Zooms, Lyapunov Fracatals, etc. Oh, and …

Posted in 3D Chaos Theory

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 system of ordinary differential

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 – except that instead of drawing pretty harmonic patterns on paper, here we plot them in 3D-space! Glowscript code and my …

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 2009. (wikipedia)

A canonical 3-dimensional Mandelbrot set does not exist, since there is no 3-dimensional analogue of the …