The main reasons the ancient Greeks wrote stories were to document their beliefs and myths, provide entertainment during gatherings, and educate the younger generations about important aspects of life and society.
The Greeks put stories to the stars to entertain themselves and others. It was a form of creative expression and a way to connect the human experience with the vastness of the universe. These stories often reflected their hopes, fears, and moral lessons.
One idea is that the Greeks and Romans have a big celebration together. Percy Jackson is invited to the Roman camp for a festival in honor of a god. At the festival, there are contests of all kinds. Percy participates in a race but has to learn the Roman rules quickly. Meanwhile, some of the Roman demigods are curious about Percy's powers. A young Roman demigod befriends Percy and they start to exchange stories about their respective camps. This friendship could be the start of better relations between the two groups in the fanfic.
A fanfic could focus on the cultural exchange between the Greeks and Romans. Percy Jackson and his friends from Camp Half - Blood visit the Roman camp. They are amazed by the Roman architecture and military discipline. The Romans, on the other hand, are intrigued by the Greek's closer connection to the old gods. There could be a love story between a Greek character and a Roman character, but they face difficulties because of the differences in their camps' rules. As they try to overcome these obstacles, they also work together to solve a mystery that has been plaguing both camps, such as a series of strange disappearances that seem to be related to an ancient curse.
The story of Herakles was first recorded by the Greeks around 8th century BCE. During this time, their oral traditions started to be written down, and Herakles became one of the prominent figures in their mythological records.