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Hyperbolic plane — In mathematics, the term hyperbolic plane may refer to:* A two dimensional quadratic space with a non singular isotropic quadratic form * A plane in hyperbolic geometry … Wikipedia
Uniform tilings in hyperbolic plane — There are an infinite number of uniform tilings on the hyperbolic plane based on the ( p q r ) where p + q + r > 9 hyperbolic regular tilings.Four families of uniform tilings and duals are shown below (using the Poincaré disk model for the… … Wikipedia
Hyperbolic geometry — Lines through a given point P and asymptotic to line R. A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparall … Wikipedia
Hyperbolic space — In mathematics, hyperbolic n space, denoted H n , is the maximally symmetric, simply connected, n dimensional Riemannian manifold with constant sectional curvature −1. Hyperbolic space is the principal example of a space exhibiting hyperbolic… … Wikipedia
Hyperbolic motion — In geometry, a hyperbolic motion is a mapping of a model of hyperbolic geometry that preserves the distance measure in the model. Such a mapping is analogous to congruences of Euclidean geometry which are compositions of rotations and… … Wikipedia
Hyperbolic triangle — In mathematics, the term hyperbolic triangle has more than one meaning.In the foundations of the hyperbolic functions sinh, cosh and tanh, a hyperbolic triangle is a right triangle in the first quadrant of the Cartesian plane :{(x,y):x,y in… … Wikipedia
Hyperbolic tree — In Web development jargon and information visualization, a hyperbolic tree (often shortened as hypertree) defines a visualization method for a graph inspired by hyperbolic geometry.Displaying hierarchical data as a tree suffers from visual… … Wikipedia
Plane (geometry) — Two intersecting planes in three dimensional space In mathematics, a plane is a flat, two dimensional surface. A plane is the two dimensional analogue of a point (zero dimensions), a line (one dimension) and a space (three dimensions). Planes can … Wikipedia
Hyperbolic group — In group theory, a hyperbolic group, also known as a word hyperbolic group, Gromov hyperbolic group, negatively curved group is a finitely generated group equipped with a word metric satisfying certain properties characteristic of hyperbolic… … Wikipedia
Plane geometry — In mathematics, plane geometry may mean:*geometry of a plane, *geometry of the Euclidean plane,or sometimes a plane is any flat surface that extends without end in all directions.*geometry of a projective plane, most commonly the real projective… … Wikipedia
