Are there any games with exotic physics like x2 + y2 – t2 – u2 < 0?

Are there any games with exotic physics like x2 + y2 – t2 – u2 < 0?

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Super Mario 64

You mean hyperbolic geometry?
Don't know about that, but this guy made a non-euclidean engine:
youtube.com/watch?v=tl40xidKF-4

>You mean hyperbolic geometry?
Hyperbolic geometry on steroids

So what is the equation about?

Imagine if the universe had two dimensions of time

How?
I've only experienced one dimension of time. It always goes only one way.

>how
Imagine this, but it's a sphere. But it's not a sphere, it's just taking up the position of where a sphere would be in the universe

I'm certain people who come up with these theories do a lot of LSD or mushrooms.

Even worse, mathematics

You only experience 3D space as well, but we have math that works for N-number of dimensions

Imagine being able to move on the time axis as freely as we move in the physical x/y/z dimensions. I've actually been trying to think of a way to have that as a video game mechanic recently.

what if there was a button to swap them on the fly

Imagine seeing all sides of an object at once when you looked at them. That's theoretically how a being living in a 4th dimension would see. Imagine seeing that plus every chronological permutation of an object at once. That's apparently how a being living in a 5th dimension would see.

Hi

When is Miegakure coming out?

youtube.com/watch?v=SSiRkpgwVKY
this nigga cray p.h.a.m.

HyperRogue

store.steampowered.com/app/342610/

it's really hard to explain but the non-euclidean geometry is basically a 2D hyperbolic plane shown via a poincaire projection. It's a pretty sizeable roguelike in a few senses; the gameworld is exponentially larger than one based on euclidean geometry, as well as being filled with tons of areas (each with a unique gameplay mechanic), puzzles, enemies and items.

It's like TOME in the sense that it's free off the website but the payment on steam supports development. I think it's worth a try, especially if you're curious just how brain-melting this kind of thing actually is.

Echochrome's got some interesting reality shifting stuff in it. It's basically an MC Escher painting puzzle game where the perspective of parts of the level compared to other parts affects where your character can go.

There's a canceled sonic game that had a world like this and I can't fucking remember the name

sonic x-treme, but I'm pretty sure that game just had a fisheye effect on the camera, not a truly hyperbolic map

youtube.com/watch?v=YOcS2BaCV_4