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A glimpse into what it may look like?
I'm going to keep this for when I have to explain non-Euclidean spaces during game night.
I always use Chess boards to describe non-Euclidean spaces when I "need" to (aka when I get even a narrow chance to)
By all means, explain it to me! My best way so far was siting the chase in call of Cthulhu and really it's not a great example.
Heck yeah, I'll try my best!
So on a euclidian chess board, moving your king one space left would be 1 space, one space up would be 1 space, and one space diagonally would be √2 spaces (some simple trig gets us there).
Chess however, does not obey the laws of Euclidian geometry nor does its physical representation show us things to scale. A king's move diagonally is the same amount of space as a move side to side, 1 space.
It's silly, because spaces weren't directly supposed to represent distance or anything, but it's funny that it works out this way
This is a problem I've always had with Square grids in D&D and it never occured to me that from character perspective a character is warping space to move slightly further for the same amount of movement.
Also non Euclidian! Hexagons (the bestagons) also tesselate and fix that problem nicely
That was great, thanks