Typically, Mandelbrots are rendered and viewed in 2D space. This website is showing the latest fractals using 3-dimensional spherical coordinates, and rendered with the latest, faster computer technology:
http://www.skytopia.com/project/fractal/mandelbulb.html
For an animated video, take a look at this:
http://www.youtube.com/watch?v=cDd8R0xlkNA
