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12: Hyperbolic Lane

  • Page ID
    23660
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    In this chapter, we use inversive geometry to construct the model of a hyperbolic plane — a neutral plane that is not Euclidean. Namely, we construct the so-called conformal disc model of the hyperbolic plane. This model was discovered by Beltrami in [4] and often called the Poincaré disk model. The figure below shows the conformal disc model of the hyperbolic plane which is cut into congruent triangles with angles \(\dfrac{\pi}{3}, \dfrac{\pi}{3}\), and \(\dfrac{\pi}{4}\).

    截屏2021-02-23 下午1.33.26.png


    This page titled 12: Hyperbolic Lane is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Anton Petrunin via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.