The figure from Greek mythology known for his insatiable appetite is Sisyphus. He was punished by being condemned to roll a boulder up a hill for eternity, only to have it roll back down each time he reached the summit. This punishment symbolizes futility and the human condition's struggle against the inevitable. Sisyphus’s tale serves as a profound allegory for the challenges of existence and the relentless pursuit of purpose, prompting reflections on resilience in the face of despair and the search for meaning.