Well, it could show the characters learning about new interpretations of their world. The fanfiction might introduce concepts or storylines that are different from the original The Last Olympian book. This can lead to the characters either being inspired or completely bewildered. Also, it can provide a form of meta - commentary. The characters might comment on the writing style of the fanfiction author, or they could point out inaccuracies in the fan - created story based on their own experiences in their world.
Some characters might be amused. For example, Percy could find it really funny to see how fans imagine his adventures in different ways. He might chuckle at the creative liberties the fanfiction writers take.
One characteristic is unique character development. It could give more depth to the existing characters from the original story, like exploring Percy's internal struggles in a new way. Another is an engaging plot twist. Maybe it changes the outcome of a major event in the original 'The Last Olympian' story.
One interesting aspect could be how the characters react to seeing themselves portrayed in ways they never expected. If a character is usually seen as brave in the original, but in the fanfic they're shown as having moments of fear, it can be a really eye - opening experience for them. Also, they might find new plot twists that they hadn't considered before, which could potentially change their view of their own world in the story.
Some characters might bond over their shared love for the fanfic. They could start to have inside jokes related to the fanfic, which would strengthen their relationship. For example, two friends might constantly reference a funny scene from the fanfic.
Jason could be interested in reading The Last Olympian fanfiction as it gives him a chance to see how other fans perceive the characters. Different writers may emphasize different aspects of the characters' personalities, which can be really fascinating.
He could be interested in it because it gives him a chance to engage more with the story. The original book has a set plot, but fanfiction allows for endless possibilities. He might be looking for something that fills in the gaps in the story or gives a different ending, which can be really exciting for a fan of the series.
Characters reading the fanfiction can add a layer of depth to the perception of the original story. If they react positively to certain elements in the fanfic, it might make readers go back and look at the original story in a new light. For instance, if a character in the fanfic gives a new perspective on a relationship that was only briefly touched on in the original, and the characters reading it find it interesting, then readers might start to think more about that relationship in the context of the original. On the other hand, if the characters react negatively, it can highlight what makes the original story so great in contrast.
Often, when characters read The Last Olympian fanfic, it can create a sense of connection between the real story and the fan - created world. They might find parallels between their own experiences and what's written in the fanfic. This can make them reflect on their own lives and decisions. It could also be a form of entertainment for them, a break from their own often - dangerous or difficult situations. They might get really into the fanfic and start to anticipate what will happen next, just like a normal reader would.
You can start by looking on fanfiction websites. There are many popular ones out there where users post their 'The Last Olympian' fanfictions. Just search for the title of the book on the site and browse through the results.