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Final observations on hard paddle with chrome oxide
I like my hard paddle with chrome oxide. Finishing on this gives me a far less irritating shave than I get when I shave right off the Swaty. Since it's hard oak, there's no convexing of the edge, which I also like.
However, I am quickly coming to the conclusion that I don't like using it for touch-ups. Between the paddle and my nylon-webbing "linen" strop. I can keep a razor going for a pretty long time, but the more I use the paddle, the more I seem to get a very weird effect: the edge still shaves, but it just doesn't feel right. It feels like it takes more pressure than it should, and this gets worse and worse.
So I've been using the Swaty, and finishing on the paddle, every time I need to touch up.
I worked with a guy named Stan who's an engineer and a general fiddler with things, and knows quite a lot about sharpening. He proposed the following theory:
In the image below, (a) represents the edge right after you've honed; a sharp, triangular cross section. (b) represents the edge that needs touching up: teeth have broken off. (c) represents what you get by backhoning (b) on the paddle. The backhoning motion draws steel from the edges out into two sharp points on either side of the still-broken center. It will cut hair since it has sharp points, but will require more pressure to do so.
This theory could be complete malarkey. I don't have an electron microscope with which to verify it. But I thought it was interesting enough to put out there.
Anyway, I'm satisfied that the paddle is an excellent way to sleaze your way out of not having anything finer than a Swaty to finish on. It's cheap & easy to make, which is probably why our ancestors used them. But don't sell off all your barber hones; if you have a heavy beard or soft razor or both, you can't really use the paddle for long-term maintenance.