I Decapitated a Roach

This morning, just after waking up, I saw a large roach running up and down the sides of the kitchen sink.  I swatted him with a rolled-up magazine, but it was not a direct hit -- he landed on the floor, upside-down, his legs clawing at the air.  Before he could turn himself over, I hit him again, harder, and when I hit him his head came off and shot across the floor.  His legs were still moving, and when I walked over to look at his head, pinched cleanly off, his antennae were still functioning, still trying to get a sense of things.  I scooped the pieces up and threw them away.