Comment on What are the most mindblowing fact in mathematics?
HexesofVexes@lemmy.world 1 year ago
Non-Euclidean geometry.
A triangle with three right angles (spherical).
A triangle whose sides are all infinite, whose angles are zero, and whose area is finite (hyperbolic).
I discovered this world 16 years ago - I’m still exploring the rabbit hole.
julianh@lemm.ee 1 year ago
Spherical geometry isn’t even that weird because we experience it on earth at large scales.
Boogeyman4325@reddthat.com 1 year ago
I’m not sure Earth would be a correct analogy for spherical geometry. Correct me if I’m wrong, but spherical geometry is when the actual space curvature is a sphere, which is different from just living on a sphere.
CodeParade made a spherical/hyperbolic geometry game, and here’s one of his devlogs explaining spherical curvature: https://www.youtube.com/watch?v=yY9GAyJtuJ0
julianh@lemm.ee 1 year ago
Oh yeah I’m subscribed to codeparade! I know it’s not a perfect analogue but since it’s such a large scale, our perspective makes it look flat. So at long distances it feels like you’re moving in a straight line when you’re really not.