Preparing thin specimens for slides... help!

[Nitrobacter]

Hey everyone. I'm working on a project about lichen symbiosis, and I'm 
trying to prepare slides of the lichen thallus for investigation. 
Unfortunately, I can't get the slices thin enough to view properly. I 
need slices a few cells thick, nearly transparent. I'm using one of 
those flimsy steel razor blades, and it seems to be doing alright.

Does anyone know any strategies for making really thin slices of a 
specimen? Thanks a bunch!

-Nitrobacter