What I would like to do is create a hidden, TrueCrypt partition on my thumb drive (along with the "fake" partition that it creates) but I also don't want to have the TrueCrypt software installed onto my machine.

Is there a way to do this but add TrueCrypt as an auto-start item so I plug in my thumb drive, mount the hidden partition, and go?

Beyond that, is there a way to make it work in ANY operating system (i.e. automatically start TrueCrypt on OS X, Linux or Windows on plug-in)? I'm more concerned with my first question but this would be icing on the cake.