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Klein-Beltrami model
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models of hyperbolic geometry
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Klein-Beltrami model

geometry

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hyperbolic geometry

  • example of straight line not being shortest distance between two points
    In non-Euclidean geometry: Hyperbolic geometry

    In the Klein-Beltrami model (shown in the figure, top left), the hyperbolic surface is mapped to the interior of a circle, with geodesics in the hyperbolic surface corresponding to chords in the circle. Thus, the Klein-Beltrami model preserves “straightness” but at the cost of distorting angles. About…

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