Hyperbolic space game: math help

[googolplexking]

I don't fully understand hyperbolic space. I saw a numberphile video about it. I thought It would a cool idea to make a video game based around hyperbolic space. I was going make it in html5/css/javascript. I know I need to learn a lot of math.

I was going to render the hyperbolic objects in a Poincaré disk. how do I convert the hyperbolic coordinates to the Poincaré disk for the graphics? I want know how to do this before anything else. I need the algorithm to do this and maybe the explanation as to why it works.

 

[Simon Bridge]

Welcome to PF;
Do you mean the players POV would be on the inside or outside of the space?

Anyway - per your question:
https://www.physicsforums.com/threads/coordinates-in-hyperbolic-geometry.311320/

 

[googolplexking]

For some reason this is really hard to explain to the internet. I'm going to render the game in a Poincaré disk. How do I convert the hyperbolic coordinates so I can render it them on the Poincaré disk? what's the equation/algorithm to do that?

 

[Simon Bridge]

See link.

But it sounds like you don't have a clear idea of what the game is supposed to be or you are unwilling to tell anyone.
I don't think we can help you beyond the link and to suggest you do one of the online courses in hyperbolic geometry.

 

[googolplexking]

I'm just going to reverse engineer this: http://www.madore.org/~david/math/hyperbolic-maze.html