Comment by pierrec

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 the same radius. If you want to get a better intuition for this, consider just trying the game.