dtgreene: Not in, but you may use my avatar if you want. (It's really just the output of a simple computer program that any decent programmer could write easily, and is even sometimes used as an example or exercise.)
(Of note, maybe you could write your own program that somehow combines the Mandelbrot Set with someone else's avatar, preferably in an interesting manner.)
By the way, if you actually do decide to use my avatar in this contest, it would be nice if you would post it as a reply to this post so I can see what you came up with.
If somebody uses this nerd's avatar, throw some puzzle pieces in there to represent me. It would be one awesome combination.
In fact, if anybody wants to reference me in this competition, I request that you use some sort of puzzle pieces/reference to puzzles rather than the Sam avatar. Only reason I'm using it is because I haven't got a better one at the moment.