Explore: Beltrami Pseudosphere

In geometry, a pseudosphere is a surface with constant negative Gaussian curvature. A pseudosphere of radius R is a surface in R 3 {\displaystyle \mathbb

surface of constant curvature, the pseudosphere, and in the interior of an n-dimensional unit sphere, the so-called Beltrami–Klein model. He also developed

hyperbolic geometry was answered by Eugenio Beltrami, in 1868, who first showed that a surface called the pseudosphere has the appropriate curvature to model

is not preserved. A particularly well-known paper model based on the pseudosphere is due to William Thurston. The art of crochet has been used to demonstrate

asymptote: the pseudosphere. Studied by Eugenio Beltrami in 1868, as a surface of constant negative Gaussian curvature, the pseudosphere is a local model

Hyperbolic Plane: Beltrami Pseudosphere" Transliteration: "Sōkyoku Heimen no Arutairu" (Japanese: 双曲平面のアルタイル Beltrami Pseudosphere) August 9, 2018 (2018-08-09)

Poincaré disk model. Hyperbolic geometry Beltrami–Klein model Poincaré half-plane model Poincaré metric Pseudosphere Hyperboloid model Inversive geometry

3-manifold Ideal polyhedron Mostow rigidity theorem Murakami–Yano formula Pseudosphere Grigor'yan, Alexander; Noguchi, Masakazu (1998), "The heat kernel on

tractrix around its asymptote. In 1868 Eugenio Beltrami showed that the geometry of the pseudosphere was directly related to that of the more abstract

model Hyperbolic motion Kleinian model Models of the hyperbolic plane Pseudosphere Schwarz–Ahlfors–Pick theorem Ultraparallel theorem Notes "Distance formula