fractalus.com
A site dedicated to fractal art, information, and software. Artwork by Damien M. Jones, Sharon Webb, Alice Kelley, Linda Allison, Kerry Mitchell, Sylvie Gallet, and Margaret and Jack Valero are on display at the site; it is also the home for three fractal contests, various fractal programs, and the Infinite Fractal Loop.
The Spanky Fractal Database
A [...]
The Mandelbrot set is one of the most famous of all fractals. It is named after the man who discovered it. Benoit Mandelbrot.
I wish he was my granddad!
He is one of the people who pioneered the exploration of fractals and other chaotic systems.The Mandelbrot set is a fractal. What this means is that the boundary [...]
The Mandelbrot set is created using this formula.
Z = Z x Z + C
Z = (0 + 0i)
C = (a + bi)
Multiply Z by itself. Add C. The answer is the new value for Z. Repeat until the absolute value of Z is greater than two.
So while it is probably one of the most [...]
It’s can be obvious that the outer bands around the Mandelbrot set form complete loops around the Mandelbrot set. Look at this image. It is the Mandelbrot set with just two iterations calculated.
You can see that the band representing two iterations, travels smoothly around the outer edges and then connects back up to itself. There [...]
Fractal animation is close to my heart. The process of fractal animation can be long indeed. I have rendered fractals for months just to produce ten minutes of fractal animation! The thing that makes fractal animation so time consuming is the maths behind it all. Each pixel has to be individually calculated using the maths. [...]
At the beginning of the millennium Fractal art was and still is in its beginning stages of development as a separate and accepted art form. Only since the early 1990’s have computers and fractal programs advanced enough to make fractal image exploration practical. The concepts of Chaos have been around for several [...]
Take a look at the two small monotone Mandelbrot fractal sets below. They are identical – apart from the fact that the set on the left is aliased and the set on the right is anti-aliased. When fractal images are aliased – they look scratchy and you can see a lot of noise over the [...]
