KnowraPseudosphereLinked fromLinked fromThe 7 pages that link to Pseudosphere, each with the reason it gives.All 7Broader topic 5Related 1Compared with 1Gaussian curvatureBroader topic: It realizes negative constant curvature locally, unlike a complete smooth surface.Nikolai LobachevskyBroader topic: It gives a concrete surface model for some of Lobachevsky’s geometry.Hyperbolic planeBroader topic: It locally models hyperbolic geometry, though it cannot represent the complete plane smoothly.Theorema EgregiumBroader topic: It illustrates a surface whose intrinsic geometry differs sharply from the plane’s.Surface of revolutionBroader topic: It demonstrates that revolution can create a surface with hyperbolic geometry.Hilbert's theoremCompared with: It realizes hyperbolic curvature locally but is incomplete, so it does not contradict Hilbert's theorem.Daina TaimiņaRelated: It is a classical surface model related to the geometry made tangible by crochet.