Space.com has this discussion of just what, exactly, a black hole would look like. Great stuff, with lots of mind-fizzing things like:
One theory -- and this is not so farfetched by black hole standards -- suggests there are five dimensions of space-time involved with a nonspherical, rotating, donut-shaped "black ring." Other research, using computer simulations, shows that at the very least, the fabric of space-time is distorted around a spinning black hole.
Sometimes I really do wish I could handle advanced mathematics. I once had a guy sit down and go through the math of relativity, and (while I was sitting there), it really was amazingly elegant. Unfortunately as soon as I got up from the table I'd reverted to my standard "33-24= ... ummm.... 7?" mentality. Maybe my kid will be better at math. Couldn't be much worse.