I've implemented the code here in my XNA project: http://blogs.msdn.com/b/shawnhar/archive/2006/12/12/technicolor-julias.aspx

I have a fractal drawing on the screen I can zoom in and out. However, when I zoom in to a certain amount the fractal ends and the pixels get distorted.

What I'm after is a fractal I can zoom into infinitely and it keeps giving me new patterns. Is this not possible to do in real time? If it's possible, can someone point me to good resources on how to do this in XNA4/HLSL? My google searches came up with nothing.

Thanks!