He is a cyclops (a one eyed giant) who occupies an island that Odysseus comes upon. Polyphemus captures
Odysseus and his men and plans to eat them, but Odysseus uses his wits to blind Polyphemus and escape. In doing so, however,
he opens himself up to the wrath of Polyphemus's father, the sea God, Poseidon.
In Oedipus the King, Oedipus encounters a sphinx, a winged riddling monster, with a woman's head
and lion's body. She guarded the city of Thebes as well as the Queen Jocasta, and ravaged the fields and people who lived
there. When Oedipus arrived and solved her riddle, she threw herself fomr a cliff and died, and Oedipus became the king