How did Odysseus gouge out the eye of the Cyclops?

Odysseus finds an enormous timber and sharpens the end of it. Odysseus then offers Polyphemus his wine, which the beast drinks. The Cyclops promptly falls asleep. As the Cyclops sleeps, Odysseus and his men heat the tip of the sharpened log in a fire and then ram it into Polyphemus's eye, blinding him.