Well, it could include things like the theory of numbers. For example, prime numbers could play a role, perhaps as a code that Harry has to decipher. Another concept could be geometry, like the properties of different shapes being used in a magical setting, say a spell requires the knowledge of the angles of a triangle.
There are also concepts like fractals. Fractals are complex and self - similar patterns. In the fanfiction, a magical object or a spell's effect could be based on fractal patterns. It could be that Harry discovers a new spell that is based on the principles of fractals and he has to understand the underlying math to master it.
He might face problems related to spatial geometry when trying to navigate through complex mazes or terrains during missions.
He could start by solving simple magical math problems, like calculating the amount of potion ingredients based on a ratio. As he progresses, he might study ancient magical math texts and learn more advanced concepts.
One way is through character development. For example, Harry could start to question the traditional ways of the wizarding world using 'Less Wrong' concepts like Bayes' theorem to assess the likelihood of certain magical events or prophecies. He might then make decisions based on more rational thinking rather than just following the norms.
Stand users' powers can be directly related to gaming elements. For instance, a stand with the power of teleportation could be used to quickly move between different areas in a game map. This would add an exciting twist to the gameplay within the fanfiction.
Well, in some Harry Potter fanfiction, Khajiit could be incorporated as new students at Hogwarts. Maybe they have their own unique magical abilities related to their Khajiit nature, like enhanced stealth or senses that could be used in magical tasks such as sneaking around the Forbidden Forest.
One way could be through creating unexpected character interactions. Just like in Cards Against Humanity where the combinations are strange, in Naruto fanfiction, you could have Naruto team up with an unlikely character in a really odd situation, like Naruto and Orochimaru having to work together to solve a riddle that involves completely absurd things.
Imagine a fanfic where Hagrid starts a baking club at Hogwarts. He tries to make giant cakes and cookies, but his recipes are a bit off. For example, he might accidentally use dragon eggs instead of chicken eggs, and the results are explosive. The students would be both terrified and amused by Hagrid's baking disasters.
Core threads are incorporated in various ways. Writers often use the existing framework of the Harry Potter world. For example, if the core thread is the power of love, they might show characters using love to overcome dark magic. They can also introduce new sub - plots that are related to the core thread. If the core thread is the struggle between different wizarding families, new characters from those families can be introduced to drive the story forward.
In some fanfiction, dragons in the Harry Potter and Hobbit universes might be combined in terms of their magical abilities. For example, a dragon in a crossover fanfic could have the intelligence of a Hobbit - dragon like Smaug but also be able to use magic like the dragons in Harry Potter. They could be used as powerful plot devices, perhaps guarding a powerful magical artifact that both wizards from Harry Potter and characters from The Hobbit are after.
Well, one way Sky Arcobaleno could be used in Harry Potter fanfiction is by having a character from the Arcobaleno world somehow end up at Hogwarts. This character could bring with them the knowledge and abilities related to the Sky Arcobaleno. For example, they might teach the students a new form of magic that is based on the properties of the Arcobaleno. It could also create new storylines around the mystery of this new element and how it affects the balance of power in the wizarding world.