It's an excellent idea, although I don't know any tattoo artists . Simultaneously intellectual and cool.

In reply to this comment by fullerenedream:
Actually the tattoo was originally my idea (I'm the girlfriend). It would be cool to have an outline of the mandelbrot set on my back. If I could somehow get it done for free by an excellent tattoo artist, I'd do it right now!

In reply to this comment by Fjnbk:
That would be excellent, although I don't think she'd like it much.

In reply to this comment by djsunkid:
Woo! Nice mandelbrot avatar! I'm trying to talk my girlfriend into getting a brot tattooed on her back.