What did Socrates look like? He may be the most thoroughly documented ugly person in antiquity. In Plato's Symposium, Alcibiades compares him to a Silenus figure: the satyr-like figurines sold in Athenian workshops, with snub noses, bulging eyes, and broad flat faces. It wasn't an insult but a philosophical compliment. The Silenus statues opened to reveal golden gods inside, and Alcibiades argued that Socrates worked the same way. The comparison stuck because it was plainly accurate. Nobody disputed that Socrates was ugly.
Xenophon's Symposium adds more. In a mock beauty contest, Socrates jokes about his own face: his bulging eyes see more widely, his flat snub nose catches smells from all directions, and his thick lips are better for kissing. The tone is playful, but the physical details match Plato's account and the surviving busts. Two independent students describing the same features, backed up by sculpture, puts us on solid ground for an ancient face.
The surviving busts are Roman copies of Greek originals made within decades of his death. They show a stocky, balding man with a full beard, a broad flat face, a wide snub nose, protruding eyes, and thick lips. Socrates looked nothing like a conventional Greek hero, and every ancient source agrees on that.