The cyclops that Odysseus encountered was Polyphemus; in Greek Mythology there were many cyclops.
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The cyclops was already named Polyphemus. Odysseus did not name the cyclops.
polyphemus
because the Cyclops believed that his name was Nobody.
The Roman name for Cyclopes (Singular: Cyclops) would be: Race of the one eyed giants.
The name of the giant Cyclops in The Odyssey is Polyphemus. He is the son of Poseidon and Thoosa according to Greek mythology.