Spherical and hyperbolic trigonometry plus an azimuthal equidistant projection render 2D constant-curvature spaces in real time with dynamic curvature.
Todhunter, Spherical Trigonometry For the use of colleges and schools
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Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry
Spherical and hyperbolic trigonometry plus an azimuthal equidistant projection render 2D constant-curvature spaces in real time with dynamic curvature.