Exploring Plane Hyperbolic Geometry

Barbara Hausmann, Britta Slopianka and Hans-Peter Seidel
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Barbara Hausmann: Universität Erlangen, IMMD IX - Graphische Datenverarbeitung
Britta Slopianka: Universität Erlangen, IMMD IX - Graphische Datenverarbeitung
Hans-Peter Seidel: Universität Erlangen, IMMD IX - Graphische Datenverarbeitung

A chapter in Visualization and Mathematics, 1997, pp 21-36 from Springer

Abstract: Summary Hyperbolic geometry is a geometry whose Euclidean representations cannot be conveniently handled. Straight edge and compass are not the best tools for exploring hyperbolic geometry. Interactive software, as described in this paper, is much more appropriate. A good way of finding out about a new mathematical structure is on one hand, to visualize the mathematical objects involved and on the other, to observe how structure preserving mappings work on these objects. Both of these are supported by our software.

Keywords: Geometric Object; Euclidean Plane; Rigid Motion; Geometric Transformation; Hyperbolic Geometry (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59195-2_2

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DOI: 10.1007/978-3-642-59195-2_2

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