I actually really like that idea, Jens. If you shave it, it'll be back at buzz length in a couple of weeks, and then you'll finally know what you look like with a shaved head. Plus, if it's a good time in your life to make such a drastic change, then you're better off doing it now than waiting until you've got a job and think your boss wouldn't like it, or you've got a girlfriend who begs you not to do it, or you feel like you're too old to do something so, uh, punk.
Do it.
(I secretly really want to know what I look like with a shaved head, but I don't have the guts. If you do, more power to you.)