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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