I’m presenting fractal images made with various fractal programs.
Simply put , fractals are (mathematical) objects displaying self-similarity at different scales.
The images below show the Mandelbrot set , a set of complex numbers obtained by iterating the equation z² = z + c , where c is a constant number.I used Mathematica and Fraqtive to create these images.
A set related to the Mandelbrot set is the Julia set :
The next slideshow contains seven fractal curves , five of which were created with Apophys , a fractal flame editor , with some Photoshop. A fractal flame is an iterated function system class of fractals. Two more images were made with Fraqtive , a generator of the Mandelbrot family of fractals.
The following slideshow has five images created with Mandelbulber , an application for rendering 3D Mandelbrot fractals (Mandelbulbs).The images are of the same fractal formula type (Aexion) with different views and different iteration modes.
Here are two last images of 3 D surfaces made with Mandelbulber: