In Greek mythology, Amphimachus (/æmˈfɪməkəs/; Ancient Greek: Ἀμφίμαχος derived from ἀμφί amphi "on both sides, in all directions, surrounding" and μαχη mache "battle") son of Polyxenus and was also the king of Elis. He was named after Amphimachus, son of Cteatus. He was the father of Eleius, his successor.[1]