I was reading about the pseudosphere here: http://mathworld.wolfram.com/Pseudosphere.html
I was curious if anyone knew what the 2-D analogue of the pseudosphere is?
Thanks!
2026-04-24 06:46:33.1777013193
2-D Analgoue of Pseudosphere
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Mathematically the pseudosphere is a 2D surface of constant negative Gaussian curvature. It only looks 3D because of the way it is immersed in 3-space.
There is no concept equivalent to negative curvature for 1D, so the nearest analogy is the ordinary 1-sphere of constant curvature, or circle.