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hyperbolic geometry

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Noun1.hyperbolic geometryhyperbolic geometry - (mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane; "Karl Gauss pioneered hyperbolic geometry"
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
non-Euclidean geometry - (mathematics) geometry based on axioms different from Euclid's; "non-Euclidean geometries discard or replace one or more of the Euclidean axioms"


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In areas where the surface has floppy, hyperbolic geometry, the algorithm will identify many mesh points; where the surface has more tightly curved geometry, the algorithm will identify fewer points.
Crafty geometry: mathematicians are knitting and crocheting to ... by Klarreich, Erica / Science News
Modern three-dimensional hyperbolic geometry actually owes its origins to computer experiments, Adams says.
Math lab: computer experiments are transforming mathematics by Klarreich, Erica / Science News
Among closed surfaces, spherical, flat, and hyperbolic geometry are mutually exclusive.
If it looks like a sphere...Exploring the newly proposed solution to ... by Klarreich, Erica / Science News
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