hyperbolic geometry


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hyperbolic geometry

[¦hī·pər¦bäl·ik jē′äm·ə·trē]
(mathematics)
References in periodicals archive ?
The Einstein relativistic velocity model is another model of hyperbolic geometry.
We believe that using such a routing architecture based on hyperbolic geometry will create the best possible levels of efficiency in terms of speed, accuracy, and resistance to damage," said Krioukov.
Two important geometries alternative to Euclidean geometry are elliptic geometry and hyperbolic geometry.
Mathematicians have known for decades that many knot complements have hyperbolic geometry.
Van Aubel's Theorem in the Einstein Relativistic Velocity Model of Hyperbolic Geometry.
Among closed surfaces, spherical, flat, and hyperbolic geometry are mutually exclusive.
They also developed a way to represent Apollonian packings in both spherical and hyperbolic geometry (SN: 12/23&30/00, p.
Conference on Conformal Dynamics and Hyperbolic Geometry in Honor of Linda Keen's 70th Birthday (2010: NY, NY) Ed.
The lecture topics include Dehn surgery and 3-manifolds, hyperbolic geometry and 3-manifold topology, Ricci flow and Thurston's geometrization conjecture, link homology, Heegaard Floer homology, contact geometry in low dimensional typology, and four 4-manifolds.
The improved study rests on analogies that Einsteinian mechanics and its underlying hyperbolic geometry share with Newtonian mechanics and its underlying Euclidean geometry.
Escher in 1958 mailed Coxeter a print of "Circle Limit I"--the first fruit of the artist's venture, inspired by Coxeter, into hyperbolic geometry.
The topics are non-Euclidean geometry, crossroads between hyperbolic geometry and number theory; origamis in TeichmA1/4ller space; 3-manifold topology; globally symmetric spaces; the geometry of the representation spaces in SU(2); the algorithmic construction and recognition of hyperbolic 3-manifolds, links, and graphs; and asymptotic geometry.