When the Cyclops asked his name, he said he was called "Nobody." Then he waited for it to get drunk and fall asleep, whereupon he stabbed its eye out. Then he and his men tied themselves to the undersides of sheep, so that when the cyclops let the sheep out of its cave, feeling for the humans, all it felt was the back of the sheep. When it had realised that Odysseus was gone, it screamed blue murder, and the other cyclops came to its aid, saying "who has hurt you so badly?" And the Cyclops relied, "Nobody has hurt me!"
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The cyclops begins eating Odysseus men, two per sitting. Odysseus and his men make a plan to escape, and get the cyclops drunk. They then stab Polyphemus in the eye blinding him, before escaping underneath the sheep.
Odysseus' plan was a clever strategy in attempt to escape from Polyphemus's cave. This strategy was well thought-out, efficient, and succeeded. First, he would get the cyclops drunk, then he would blind it with a stake, then he would hide his men under the cyclops' sheep when they went out to graze.
The cyclops was already named Polyphemus. Odysseus did not name the cyclops.
In the "Odyssey", Odysseus blinded the Cyclops Polyphemus with a red hot log.The cyclops that was blinded by Odysseus is Polyphemos.
Odysseus assumes that the large cyclops will be friendly.Odysseus does not plan for a possible route of escape, leaving him and his men trapped in the cave.Odysseus does not send work back to his men on the ships as to what he is doing or where he is before the cyclops Polyphemos comes.Odysseus gives the Cyclops his name when escaping, causing him to be cursed.