He looks around the cave, makes a fire and he and his men eat some of Polyfemos' food.
Have you not read book nine? It was your home assignment, wasn't it?
Odysseus waits for the cyclops to return in hope that the cyclops will be a good host and give him a present. It is really Odysseus' curiousity that compels him to stay.
The Cyclops prays to Poseidon, the god of the sea, when he asks that Odysseus lose all his men and have a rough journey home. Poseidon holds a grudge against Odysseus for blinding the Cyclops, who is his son.
One mistake Odysseus makes with the cyclops Polyphemus is telling him his real name, which allows the cyclops to later pray to his father, Poseidon, for revenge. This leads to a series of challenges and hardships for Odysseus on his journey home from Troy.
Odysseus' pride would not allow him to keep his real identity a secret from the Cyclops. However the Cyclops is the son of Poseidon who hates Odysseus as it is. By telling the Cyclops his real name, Odysseus ultimately reveals himself to Poseidon. The Cyclops tells Poseidon who hurt him and Poseidon plagues the rest of Odysseus' journey. Had his pride not gotten in the way, Odysseus would have been home years before.
The cyclops was already named Polyphemus. Odysseus did not name the cyclops.
Odysseus expects the cyclops to bear gifts to the travelers.
Odysseus does not intentionally sail to the land of the Cyclops but ends up there when sailing home, possibly sent by the gods, or by Fate herself.
Odysseus did not kill the cyclops Polyphemus.
In the "Odyssey", Odysseus blinded the Cyclops Polyphemus with a red hot log.The cyclops that was blinded by Odysseus is Polyphemos.
Odysseus blinded Poseidon's son's eye who is a Cyclops. So he was cursed that can not go back home. He tried to go back home in the Odyssey.
Cyclops asks Poseidon to interfere with Odysseus's journey home out of revenge for blinding him. The Cyclops, Polyphemus, holds a grudge against Odysseus for blinding him and believes that his father, Poseidon, will assist him in seeking vengeance.
Initially, Odysseus is cunning in being able to trick the Cyclops into believing his name was "Nobody" because the Cyclops would then be prevented from calling for help continually saying "Nobody is here!" However, Odysseus demonstrates excessive pride in having tricked the Cyclops and foolishly reveals that he is not "Nobody" but in fact the great "Odysseus." Enraged, the Cyclops calls upon his father Poseidon to punish Odysseus, and thus Odysseus's long journey home.