Odysseus did not trust the cyclops. Polyphemus might have attempted to smash the ship to ensure that there was no means of escape.
Nohbdy
Nohbdy
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.
He calls himself "Nobody" or "No-Man". He also gets the Cyclops drunk and pretends to be "Nobody" instead of himself. Polyphemus (cyclops) gets drunk and asks Odysseus his name. He replied with "Nobody." As the cyclops falls down and collapses, Odysseus and his mean put red hot staff into his eye. When the cyclops screams and awakens, people around him ask him what's wrong. Cyclops replied with, "Nobody's killing me!."
1. When the Cyclops Polyphemus asks Odysseus where his ship is, Odysseus lies and says it was destroyed upon the rocks of the shore. 2. Odysseus told the cyclops that his name was "Nobody". When Odysseus and his men blind the cyclops (neither Odysseus nor the Cyclops dies), he yells to his friends for help. They ask him what is wrong and he answers saying, "Nobody's killing me now by fraud and not by force!" (Fagles' translation 9.455). They respond by saying that it must be the plague killing him and they can't help. They advise him to pray.
After Polyphemos (the cyclops) is blinded, the cyclops yell out to his father (Posiedon) and asks him to kill Odysseus and his crew. And if its not the gods will to kill him, then make his journey long and drawn out for a long time, and make it painful and bad too. He did that to get revenge. You should read the book.... or an abridged version anyways.
He tells him is name is Nohbdy. "Nohbdy, Nohbdy's tricked me, Nohbdy's ruined me!" -Polyphemus or Cyclops
Odysseus tells Polyphemus that his name is "Nobody."
Polyphemus laments, recalling when the seer Telemus told him that he would one day be blinded by Odysseus. The cyclops then calls out to his father Poseidon, and asks him to curse Odysseus. He asks him to kill Odysseus before he returns home or if Odysseus is fated to return home, then to ensure that he arrives alone on someone else's ship, having lost all of his crew, and with trouble in his home.
In Homer's "Odyssey," the cyclops Polyphemus loses his sight and his rams after being blinded by Odysseus. Homer does not present a sympathetic view of the cyclops, portraying him as a monster who devours Odysseus' men. Instead, the focus is on Odysseus' cunning and survival tactics in outwitting the cyclops.
The phrase "fair traffic" can refer to the concept of just and equitable exchange or trade. In Greek mythology, the Cyclops asks these questions to understand if Odysseus and his men have come as friends or foes, as their intentions will determine the Cyclops' response.
In Homer's "Odyssey," Odysseus is insulted by the Cyclops Polyphemus when he asks for his name and Odysseus cleverly responds with the false name "Nobody." When Odysseus and his men blind Polyphemus and he cries out for help, the other Cyclopes assume that "Nobody" is hurting him, leading Polyphemus to feel humiliated and insulted.