I use soft pencils and I bear down hard when I write. As a result, I have to resharpen the pencils frequently. A few years ago I came across this pocket-size two-hole pencil sharpener and now swear by it. It produces very sharp points and does so efficiently. Joe Stirt reviewed it here in 2011, but I thought it would be worthwhile to take some photos to show how it works:
Hole 1 shaves just the pencil’s wood casing , exposing (but barely touching) the graphite. You are left with a cylinder of graphite sticking out of the pencil tip, as shown below.
Hole 2 sharpens the graphite to a point, but does not shave the wood.
You can easily control the sharpness.
When it’s time to resharpen, I try hole 2 first. I can usually get a few sharpenings this way before I go back to hole 1. Because of the way it sharpens, pencils last much longer.