Polyctor, son of King Pterelaus of the Teleboans and Amphimede, and a descendant of Zeus. Originally from Cephallenia, Polyctor together with his brothers Neritus and Ithacus decided to leave their homeland to preserve their own way of life. They were drawn to a nearby island, choosing it as the perfect site for a new colony because of its towering mountains offered excellent natural protection. After establishing their settlement, the local geography was named in their honour: the island itself became Ithaca, named after Ithacus; the prominent peak nearby was named Mount Neritus, after Neritus; and a third landmark, Polyctorium, took its name from Polyctor himself. These brothers were also said to have made a basin of stone in Ithaca into which a spring ran. He had a son Pisander, who was one of the suitors of Penelope.
In Homer's Iliad, Hermes takes the guise of a young mortal man when he is sent to keep Priam safe during his embassy to Achilles, and claims to be the son of a certain Polyctor.