One possible scenario could be that they are on a long journey and there is limited seating space, so Annabeth simply sits on Percy's lap for convenience. Maybe they are on a boat and there are not enough benches.
Perhaps they are in a dangerous situation where they need to be close together for protection. For example, if they are hiding from some mythical creatures and being close in that way makes them feel safer. Also, it could be a moment of sudden shock or surprise where Annabeth just instinctively jumps into Percy's lap.
It could be a moment of affection. They might have just had a really great conversation or a realization of their feelings for each other. In the fanfiction world, sometimes emotions run high and this could be a physical manifestation of their growing closeness. Annabeth sitting on Percy's lap could be a sign of their deepening relationship, whether it's a newfound romantic connection or just a very strong friendship.
One possible scenario could be that they are on a long journey and Annabeth is exhausted. Percy offers his lap as a place for her to rest, showing his care for her. Another might be after a difficult battle where Annabeth is drained, and Percy's lap becomes a safe and comfortable place for her to recover.
Annabeth is known for her intelligence and strategic thinking. She is a strong and independent character. Percy, on the other hand, is brave and has a strong connection to the water due to his father being Poseidon. In the fanfic, when Annabeth sits in Percy's lap, it might be a way to show their unique relationship which has developed over the course of their many shared experiences in the Percy Jackson universe.
Perhaps they are in a romantic setting. They could be sitting by a campfire at Camp Half - Blood, and Annabeth spontaneously sits in Percy's lap as a sign of their growing affection for each other. This could lead to a sweet moment of them sharing stories or just enjoying each other's company in a more intimate way.
Well, it could be a sweet moment of affection. Maybe they're in a quiet place, like by the Camp Half - Blood lake. Annabeth sits on Percy's lap as they talk about their future together, their next adventure perhaps, or just sharing some personal feelings they haven't had a chance to before.
One possible scenario could be that Dumbledore is giving Harry some important advice in a very intimate and fatherly way. Harry might be feeling sad or confused and sitting on Dumbledore's lap makes him feel safe and listened to.
Another one is 'Campfire Comfort'. After a long day at Camp Half - Blood, everyone is gathered around the campfire. Annabeth gets tired and sits on Percy's lap. This moment is filled with a sense of warmth and belonging as they share some private jokes and just enjoy each other's company in the midst of their friends.
Perhaps in the fanfiction, there are other characters who are jealous of Annabeth's intelligence or skills. So they start spreading rumors or making unfair remarks. Percy defends her because he knows her true worth and capabilities. He would stand up and say things like 'You don't know her like I do. She's always been there for all of us.'
Well, it could also create a really deep connection between them. Since she can hear his thoughts, they might be able to communicate in a whole new way. They could team up more effectively in battles or quests. Annabeth could anticipate Percy's moves and decisions even before he makes them, making them a very powerful duo.
They would probably be very affectionate. Annabeth might rest her head on Percy's shoulder while they talk in hushed voices. Percy would likely have his arms around her, holding her close and giving her a sense of security.
One possible scenario could be that Percy sacrifices himself to save Annabeth from a powerful and deadly monster. Maybe a huge and ancient sea creature that only Percy can hold off long enough for Annabeth to escape, but at the cost of his own life.