Passage: Aside from this narrative deposit in ancient Greek literature, pictorial representations of gods, heroes, and mythic episodes featured prominently in ancient vase-paintings and the decoration of votive gifts and many other artifacts. Geometric designs on pottery of the eighth century BC depict scenes from the Trojan cycle as well as the adventures of Heracles. In the succeeding Archaic, Classical, and Hellenistic periods, Homeric and various other mythological scenes appear, supplementing the existing literary evidence.Greek mythology has had an extensive influence on the culture, arts, and literature of Western civilization and remains part of Western heritage and language. Poets and artists from ancient times to the present have derived inspiration from Greek mythology and have discovered contemporary significance and relevance in the themes.

Question: During which periods did the Homeric mythologies begin to appear?
Archaic, Classical, and Hellenistic periods