Exploring Plane Hyperbolic Geometry

  • Hausmann B
  • Slopianka B
  • Seidel H
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Abstract

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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Hausmann, B., Slopianka, B., & Seidel, H.-P. (1997). Exploring Plane Hyperbolic Geometry. In Visualization and Mathematics (pp. 21–36). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-59195-2_2

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