Genderdeer. The meat was paid for, but the bones were stolen.
what lovecraft thinks non euclidian geometry is: terrifying, indescribable, like having the floor of the world ripped out from under you
what gamers think non euclidian geometry is: euclidean geometry but with portals
what non euclidian geometry actually is: bro, what if the points of a triangle were pointyer. no bro, like, i mean, really really really pointy.
I've wondered about that. The abstractions of Euclidean geometry don't exist in the world we actually see, so it seems perfectly reasonable to learn a different set of geometric assumptions and apply them to the physical objects around us. Could we look at a sheet of paper and see, not an approximation of a Euclidean plane, but an approximate hyperbolic surface? I'm sure the answer is "yes" and there's mathy people who can do it, but we're not among them
sometimes people embed 2D hyperbolic space into 3D real life space using crochet, it comes out looking like a wibbly wobbly shape because hyperbolic space has too much space per space to be flat in euclidean geometry
you can also embed 2D euclidean space into 3D hyperbolic space as the surface of an infinitely large sphere (horosphere)
i dunno, playing hyperrogue for a few hours left me shivering in a corner mumbling about “theres too much space in my space”
Is there a term for the video game version of "non-euclidean" that you have in games like Antichamber, where spaces are connected in ways that shouldn't be possible in euclidean space but space is still locally euclidean?
