Central projection of hyperbolic space onto a horosphere. A horosphere is a surface in hyperbolic space that is isometric to the Euclidean plane. In order to correctly visualize the hyperbolic space, embed a flat computer screen as horosphere and investigate the geometry of central projection of the hyperbolic space onto the horosphere. We also discuss realizations of hyperbolic isometries. The corresponding algorithms are implemented in Mathematica package L3toHorospere. We briefly present the package and obtain some interesting pictures of hyperbolic polyhedra.

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  1. Babić, Marijana; Vukmirović, Srđan: Central projection of hyperbolic space onto a horosphere (2012)