Original scientific paper

Central Projection of Hyperbolic Space onto a Horosphere

Marijana Babić ; Faculty of Mathematics, University of Belgrade, Belgrade, Serbia
Srđan Vukmirović ; Faculty of Mathematics, University of Belgrade, Belgrade, Serbia

Abstract

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

Keywords

hyperbolic space; horosphere; central projection

Hrčak ID:

96184

URI

https://hrcak.srce.hr/96184

Publication date:

30.1.2013.

Article data in other languages: croatian

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