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Beltrami–Klein model

In geometry, the Beltrami–Klein model, also called the projective model, Klein disk model, and the Cayley–Klein model, is a model of hyperbolic geometry in which points are represented by the points in the interior of the unit disk (or n-dimensional unit ball) and lines are represented by the chords, straight line segments with ideal endpoints on the…

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History

Distance formula

The Klein disk model

Distance and metric tensor

Relation to the hyperboloid model

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Beltrami–Klein model

Nodes72
Edges71
Triples24
Avg. degree1.97
Density0.027778
Components1

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Beltrami–Klein model

Top relations

related to The Klein disk model · 9
Beltrami–Klein model → All, Beltrami, In, It, Klein, Lines, Only, Points, The
related to Relation to the Poincaré ball model · 7
Beltrami–Klein model → Beltrami, Both, Conversely, If, Klein, Poincaré, Rn
related to Distance formula · 5
Beltrami–Klein model → Beltrami, Cayley, Given, Klein, The
is a · 3
Beltrami–Klein model → Cayley, chord between them, distance of s on the same radius

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Important terminology

model disk klein hyperbolic lines line circles plane point boundary poincaré beltrami points ideal straight two pole chords circle distance

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Beltrami–Klein modelis aCayley0.90text
Beltrami–Klein modelis adistance of s on the same radius0.90text
Beltrami–Klein modelis achord between them0.90text
Beltrami–Klein modelrelated to Distance formulaThe0.60section
Beltrami–Klein modelrelated to Distance formulaBeltrami0.60section
Beltrami–Klein modelrelated to Distance formulaKlein0.60section
Beltrami–Klein modelrelated to Distance formulaCayley0.60section
Beltrami–Klein modelrelated to Distance formulaGiven0.60section
Beltrami–Klein modelrelated to Relation to the Poincaré ball modelBoth0.60section
Beltrami–Klein modelrelated to Relation to the Poincaré ball modelPoincaré0.60section
Beltrami–Klein modelrelated to Relation to the Poincaré ball modelBeltrami0.60section
Beltrami–Klein modelrelated to Relation to the Poincaré ball modelKlein0.60section

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