Final answer:
Achilles fights for the Greek army in the Trojan War. He is known for his near invincibility except for his vulnerable heel. His role and fate, as well as his relationship with Ajax, are depicted in ancient Greek pottery like that created by Exekias.
Step-by-step explanation:
Achilles is a legendary figure in Greek mythology and literature, best known from Homer's Iliad. In the story of the Trojan War, Achilles fights for the Greek army, also known as the Achaeans or the Danaans. He is a central character and a formidable warrior who plays a crucial role in the battle against the city of Troy.
Achilles' connection with his fellow Greek warrior, Ajax, is illustrated in the art of ancient pottery, particularly in works by Exekias. The black-figure amphora depicting Achilles and Ajax playing a dice game is a prime example. These two figures, inscribed with their names and conversing through numeric rolls, represent their fate and friendship during the war. While both heroes are destined to die in the conflict, Achilles' death marks him as the greater hero, and he is remembered for his near invincibility, attributed to his mother's actions to make him impervious to harm, save for his infamous vulnerable heel.