math
hey math is cool right?
https://en.wikipedia.org/wiki/Poincar%C3%A9_disk_model
look at this stuff
the "Poincare disk model". I confess I'm not up on the kinda abstract math needed to understand this completely
but it shows how "infinite" plane geometry, Euclidean geometry, can be basically mimicked inside a limited area. inside a single circle
math
@Alyx I don't think it's fair to say that the conformal disk 'mimics' euclidean geometry. On the contrary, the conformal disk is one of the archetypal examples of hyperbolic geometry.
math
@fibonacci_reminder yeah sorry, I ain't good at math (especially right now, haha)
but I really dig that one can basically redefine the elements of Euclidean geometry, schoolbook geometry on the vast infinite plane that seemed so amazing when I was a kid, to work with hyperbolae inside a circle, and get basically a one-to-one mapping
that's really cool
