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Exploring Plane Hyperbolic Geometry

In: Visualization and Mathematics

Author

Listed:
  • 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)

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.

Suggested Citation

  • Barbara Hausmann & Britta Slopianka & Hans-Peter Seidel, 1997. "Exploring Plane Hyperbolic Geometry," Springer Books, in: Hans-Christian Hege & Konrad Polthier (ed.), Visualization and Mathematics, pages 21-36, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59195-2_2
    DOI: 10.1007/978-3-642-59195-2_2
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