Odysseus and his group go to the Island cave that the Lotus eaters told them to go and they were right, there was food for the whole fleet. There was sheep, fruits, and all other types of foods throughout the cave. What the group did not know is that the cave was home to a cyclops by the name of Polyphemus. In order to avoid any bloodshed Odysseus traded a case of wine for the sheep that they killed so that Polyphemus does not kill them...in the end Polyphemus attacked anyways.
In order for the Group to survive through this encounter they had to play smart and they had to avoid getting pummeled by the Cyclops. For the moment it was working, until the cyclops grabbed his club. The cyclops smashed through many of the men, including Polities, and all Odysseus could do is watch in horror as his men and best friend are killed right in front of him. Then the cyclops passes out from the wine he drank because Odysseus spiked it with Lotus flowers and he crashed right in front of the enterance to the cave.
As Odysseus sat there in horror of what happened, Euryluchous quickly snapped him out of his trance. Odysseus ordered his men to sharpen the club that Polyphemus dropped and to make it a spear. Thought the men (and Athena in Odysseus's head) wanted to kill him. Odysseus told them to blind him. When they eventually left the cave Odysseus shouted at the cyclops to never forget that day, never forget those he slain when he could have had peace, and to never forget his name is Odysseus of Ithica, thus sealing Odysseus's fate.
The final Song in the Cyclops saga is one that revolves around Athena and Odysseus. She warned him he would be tested and he was, and he failed. He could have killed the creature instead of sparing its life but he chose not to take it's life. She cannot forgive him and will not forget what he did, she is leaving him for good because she cannot stay as someone's mentor who refuses to listen and refuses to follow her demands, Leaving Odysseus to think for himself from here on out.