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.