You might find this interesting: Non-Euclidean Doom: what happens to a game when pi is not 3.14159…
The magic starts at 6:47
The video and the effects of different pi values are sick! But I’ve never heard such a bad speaker. Speaking in front of an audience isn’t the strong suit of this guy
It starts to get really funky.
I prefer π = 3.14 ± 0.14. Add a little chaos.
I suppose you could redefine pi to be exactly like 3, but you’d have to change the value of 1 to be equal to (π/3) which would make it very difficult to buy bananas.
I don’t buy bananas, so this isn’t relevant to me.
This doesn’t directly answer your question, but things would probably get very weird compared to our universe. Here’s an interactive visualization of a different weird universe with two time dimensions, Dichronauts by Greg Egan:
https://www.gregegan.net/DICHRONAUTS/02/Interactive.html
He really goes through the math on that site, so you might get some insight into how other topologies would look
Whoa. That’s over my head.
This question does not make sense. π is an abstract mathematical constant whose value has absolutely nothing to do with the physical world. It’s like asking “what would the universe look like if the word ‘fish’ started with ‘p’?”
"what would the universe look like if the word ‘fish’ started with ‘p’?”
More tie dye, for one.
Oh, no way!
Probably a lot like Indiana.
OOF!
Circles would be smaller
Wait…
Probably a triangle.
Like a curved triangle that’s actually a circle?
You universe’s pi doesn’t equal pi… it equals 3…
But can it run Doom?
https://youtube.com/watch?v=_ZSFRWJCUY4&t=450s
Yes. Mostly.
Spatial cohesion worsens as pi diverges from… pi.
What game is that? The background noise was just a dude saying distortion over and over again
Pokémon Platinum. Towards the end of the game, you meet the villain in the game’s version of Hell, known as the Distortion World. The background noise was likely put in there as a joke.