How the heck do self-healing cutting mats work? Aside from "very well", I have no idea. I've leaned pretty heavily on this one with a sharp knife while cutting thick leather, cardboard, and paper.
I've used the utility knife in the photo, fine little x-acto knives, and a thick bladed, home-made kiridashi knife I use for leather. If the mat didn't work, there wouldn't be much of it left by now...