Theater Structure of the Greek Theatre Summary: This page discusses the Greek theatre structure. It covers the inventions of Athenian, Hellenistic, and Graeco-Roman theatre and how they were used. The Greek theater is the ancestor of European theaters. There were many theaters in Greece that we have discovered. There are three types of theaters: Athenian, Hellenistic, and Graeco-Roman. Athenian theatre was in the 5th century BC. Hellenistic theatre was from the 4th century onward. It covers roughly the same time period as the conquests of Alexander the Great. When Greek civilization was coming to an end, Roman ideas were spreading through Greece and therefore Graeco-Roman theatre soon evolved. The three types of theatre are distinctly different from each other.