People know about what non-Euclidean means? Wow, do they also know about manifolds?
the secret is that all spaces are actually euclidean, due to the whitney embedding theorem.
(not really though. i just wanted to take my turn at improperly stating famous math results on the internet.)
But it tastes so good though
This is secretly advocating for the flat Earth
Or saying that the only global maps we should accept are ones projected onto spheres. Same thing for partial global maps above a certain size threshold (projected onto partial spheres).
I’m curious what that threshold is. Like how long do North/South roads need to be before there’s a non-trivial divergence towards the equator? How far do parallel East/West roads need to be before one is noticeably longer if measured from the same longitudes?
Drinking from Klein bottles is not permitted 🚫
Looks like I just failed the “responsible adult” test for more than half my life!
I’m addicted to geodesics.
But i like walking into the same hallway 30 times!
Meh, planar geometry is for virgins, hyperbolic space go brrr
