I always like topology and geometry. But there are some examples in film and videogames that upset me...
1)Imagine an empty room in which there is a door in the middle, and if I open it I can see a room inside. (like the TARDIS in Doctor Who)
2) Like in this videogame https://www.youtube.com/watch?v=v4JxhiNz8ec (watch from the 1:00, for a minute at least) there is a maze in which the different directions do not overlap and you can return back from different path!
The last example comes from this videogame: https://en.wikipedia.org/wiki/Antichamber
There are other examples, but I cannot translate to english T_T
However, I want to formalize these kind of rooms from a geometrical (or topological?) point of view! I like this type of worldbuilding but I dont know
anything, since I am a physicyst (not a theoretical!).
What kind of books do you suggest? I can study but I prefer not to do so much :D
Thank you for your answers!
This book:
http://www.amazon.ca/The-Shape-Space-Jeffrey-Weeks/dp/0824707095
along with this software:
http://www.geometrygames.org/CurvedSpaces/index.html
should give you a pretty great understanding of the topology of manifolds.