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This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Coordinate_systems_for_the_hyperbolic_plane


00:00:35 1 Polar coordinate system
00:04:24 2 Quadrant model system
00:05:51 3 Cartesian-style coordinate systems
00:06:42 3.1 Axial coordinates
00:12:06 3.2 Lobachevsky coordinates
00:18:43 3.3 Horocycle-based coordinate system
00:23:26 4 Model-based coordinate systems
00:23:49 4.1 Beltrami coordinates
00:24:50 4.2 Poincaré coordinates
00:26:43 4.3 Weierstrass coordinates
00:29:08 5 Others
00:29:17 5.1 Gyrovector coordinates
00:29:30 5.2 Hyperbolic barycentric coordinates



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SUMMARY
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In the hyperbolic plane, as in the Euclidean plane, each point can be uniquely identified by two real numbers. Several qualitatively different ways of coordinatizing the plane in hyperbolic geometry are used.
This article tries to give an overview of several coordinate systems in use for the two-dimensional hyperbolic plane.
In the descriptions below the constant Gaussian curvature of the plane is −1. Sinh, cosh and tanh are hyperbolic functions.