The hero known for his cunning and intelligence rather than physical strength in Greek tradition is Odysseus. He is celebrated for his strategic thinking, particularly in devising the plan of the Trojan Horse, which ultimately led the Greeks to victory in the Trojan War. Odysseus's adventures, as chronicled in Homer's Odyssey, showcase his ability to navigate difficult situations through wits, bravery, and a clever use of resources, making him a quintessential figure of intellect in Greek mythology.