One common theme is heroism. Both Achilles and Perseus are great heroes in Greek mythology, so fanfictions often explore different aspects of their heroism, like how they face challenges.
Sure. One great piece of 'Achilles and Perseus fanfiction' is 'The Meeting of the Heroes' on FanFiction.net. It has a really interesting take on how the two might interact in a world where they both exist at the same time.
In this fanfiction, the author may have taken creative liberties with the story. Maybe they changed the setting or added new elements to the encounters between Achilles and Penthesilea. It could also be about re - imagining their fates. For instance, instead of the tragic end that might be associated with their stories in the original mythology, the fanfiction could offer an alternative, more positive outcome for their relationship.
In the Perseus and the Gorgon Medusa story, Perseus received help from two main gods. Athena, the goddess of wisdom, was one of his helpers. She gave him a highly polished shield. This shield was crucial because looking directly at Medusa would turn anyone into stone. With the shield, Perseus could see Medusa's reflection and thus avoid her deadly gaze. Hermes, the messenger god, also helped. He provided Perseus with a pair of winged sandals, which allowed Perseus to fly swiftly to Medusa's lair. He also gave Perseus a sword, which was used to cut off Medusa's head.
Perseus was a hero in Greek mythology. In the Perseus star story, he is often associated with certain constellations. He famously slew Medusa, a Gorgon with snakes for hair. After beheading Medusa, he used her head to turn his enemies into stone. His adventures are marked in the sky, with constellations like Perseus being named after him, representing his heroic deeds and journey in the celestial realm.
One major challenge was the very nature of Medusa. Her ability to turn people to stone with a direct gaze meant Perseus couldn't look at her directly. Also, finding the Gorgons' lair was likely difficult. And he had to face the other Gorgons as well, not just Medusa, when he entered their place.
Perseus' victory over Medusa was a result of his clever use of the gifts from the gods. He had a shield from Athena which was reflective. This was key because Medusa's gaze could turn people to stone. He also had winged sandals from Hermes which helped him get to her. When he got there, he carefully positioned himself and used the shield to look at her indirectly. With a special sword, he was able to quickly cut off her head and defeat her.
You can start by looking on fanfiction websites like Archive of Our Own. It has a large collection of fan-made stories, and you're likely to find quite a few 'Percy Jackson Perseus Fanfiction' there.
A notable 'Percy Jackson Perseus Fanfiction' is 'Perseus' Legacy in Percy's World'. This one is interesting as it explores what would happen if Perseus' legacy had a more direct impact on Percy's life. It weaves in elements of Greek mythology in a fresh and engaging manner, making for a great read.