Anyway, I put it on the Hap, broke out the angle cube, and got a surprise. For reasons I don't understand, there was (to my mind) a pretty big difference in the angle when I flopped the blade. IOW, when I had the knife with the handle to my left and the pointy end pointing right, I put the stone on the blade and set it at 15.0*. When I rotated the clamps so that the knife was reversed, it was at something like 14.7*. I set and reset everything a couple of times, just in case I was missing some major factor here. I found nothing and could only conclude that there is some kind of Geometry Voodoo going on that is beyond the ken of my knowledge.