The term 'Homeric Character' refers to characters from the works of the ancient Greek poet Homer. The two crossword solutions for this term are TAU (3 letters) and IOTA (4 letters). TAU is the 19th letter of the Greek alphabet, and it is often used to represent the symbol of life or resurrection in Greek mythology. IOTA is the 9th letter of the Greek alphabet, and it is often used to represent the concept of divine justice in Greek mythology. Both of these letters are associated with characters from Homer's works, such as Odysseus and Achilles.