Mandelbulb3D is a freeware 3D fractal renderer. Quick tutorial+download here: http://gemnets.blogspot.com/2011/10/mandelbulb3d-tutorial.html
Some more Mandelbulb3D renderings here: http://pinterest.com/digiclown/fractals/
This is the Amazing Box with a white-red-yellow palette assigned to it. What you see is actually a 3D projection of the Mandelbrot set. Those colored coordinates in the previous example are projected in 3D according to some rules. Some coordinates are mirrored. To get this Amazing Box: Scale is -1.5, Min. R is 0.5, Fold is 1. R Bailout is 1024, Smooth DE comb is something like 0.0218 and DEstop is 1.12116. Other parameters give other cubes.
The Amazing box fractal is really amazing. If you like design/patterns, go get Mandelbulb3d. It's an never ending adventure. The Amazing Box fractal is a cube you can zoom in to and travel through. About all pictures in this map are simply spots on and within this 3D fractal. The formula for this fractal is amazingly simple. The AC is a representation of de Mandelbrot set, that famous fractal that looks like two balls with lightning and an antenna.