Earlier quoted context omitted.
It's true that it's hard to tell from the screenshots, but I'd say this game is way more non-euclidian than a mere "euclidian plus portals" kind of space. It's not simply the projection that makes it look strange, and there is no projection that can possibly make a hyperbolic world look like a normal 2d world. For example, a circle in hyperbolic space contains a lot more space than a circle in euclidian space with th…
I just tried the game. Let me preface this comment by saying that I think any exploration of new game techniques is always worthwhile, and, more broadly, creating anything is always positive. I have no expectation that the author of this game created it to please me. That being said, I standby my initial comment. After playing the game, I see how hyperbolic geometric affects movement in the world. What still remains…
* In Euclidean open space, if you are attacked by two adjacent monsters at once, you cannot escape, because the monsters would just move in parallel lines. In hyperbolic, you can, because parallel lines do not work.
* In Euclidean open space, if you are ambushed by many (say, 12) monsters on all sides, you cannot escape. In hyperbolic, you can. There is always more directions than it seems.
There is a land Hunting Grounds which teaches the tactics above. It simply does not work in Euclidean mode. There is also this article: http://zenorogue.blogspot.com/2012/03/hyperbolic-geometry-in...