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Exploring Plane Hyperbolic Geometry

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Visualization and Mathematics

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.

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References

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Author information

Authors and Affiliations

  1. IMMD IX - Graphische Datenverarbeitung, Universität Erlangen, Germany

    Barbara Hausmann, Britta Slopianka & Hans-Peter Seidel

Authors
  1. Barbara Hausmann
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  2. Britta Slopianka
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  3. Hans-Peter Seidel
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Editor information

Editors and Affiliations

  1. Wissenschaftliche Visualisierung, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Takustraße 7, D-14195, Berlin, Germany

    Hans-Christian Hege

  2. Fachbereich 3, Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, D-10623, Berlin, Germany

    Konrad Polthier

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© 1997 Springer-Verlag Berlin Heidelberg

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Hausmann, B., Slopianka, B., Seidel, HP. (1997). Exploring Plane Hyperbolic Geometry. In: Hege, HC., Polthier, K. (eds) Visualization and Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59195-2_2

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  • DOI: https://doi.org/10.1007/978-3-642-59195-2_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63891-6

  • Online ISBN: 978-3-642-59195-2

  • eBook Packages: Springer Book Archive

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