Poincaré disk
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Computer-generated tiling of a Poincaré disk by Jos Leys
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The region inside (but not including) a bounding circle, where straight lines are defined to be either diameters of the bounding circle, or arcs of circles that are perpendicular to the bounding circle. The Poincaré disk is a model of hyperbolic geometry. The great flexibility it allows in specifying the angles of a triangle leads to an infinite variety of ways in which the disk can be tiled.
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• MATHEMATICS
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