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Flexible Object Hierarchies in Polymake

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Mathematical Software - ICMS 2006 (ICMS 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4151))

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Abstract

Initially polymake [1,2,3] was conceived as a collection of tools for studying convex polyhedra only. The early versions of polymake had a very primitive data management, built around a single data type for polyhedra. However, as the time passed, more and more different discrete mathematical structures like graphs and simplicial complexes came along. This gave rise to a properly typed object hierarchy, which was strict enough to support established object-oriented (OO) software techniques, but, on the other side, flexible enough to allow for continuous extensions without breaking the compatibility.

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References

  1. Gawrilow, E., Joswig, M.: Polymake Version 2.2, with contributions by Thilo Schröder and Nikolaus Witte (2006), http://www.polymake.de/

  2. Gawrilow, E., Joswig, M.: Polymake: an approach to modular software design in computational geometry. In: Proc. of the 17th ACM Annual Symposium on Computational Geometry, pp. 222–231 (2001)

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  3. Gawrilow, E., Joswig, M.: Geometric reasoning with polymake, 14 pages (preprint, 2005), arxiv.org/math.CO/0507273

  4. Ziegler, G.M.: Lectures on polytopes. In: Knuth, E., Neuhold, E.J. (eds.) Operating Systems 1982. LNCS, vol. 152, Springer, Heidelberg (1985)

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  5. Polthier, K., et al.: JavaView - Interactive 3D Geometry and Visualization, http://www.javaview.de/

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Author information

Authors and Affiliations

  1. Institut für Mathematik, MA 6-1, TU Berlin, 10623, Berlin, Germany

    Ewgenij Gawrilow

  2. Fachbereich Mathematik, AG 7, TU Darmstadt, 64289, Darmstadt, Germany

    Michael Joswig

Authors
  1. Ewgenij Gawrilow
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  2. Michael Joswig
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Editor information

Editors and Affiliations

  1. Department of Applied Mathematics and Computational Sciences, University of Cantabria, Avda. de los Castros, s/n, E-39005, Santander, Spain

    Andrés Iglesias

  2. Faculty of Science Department of Mathematics, Kobe University, 1-1, Rokkodai, Nada-ku, 657-8501, Kobe, Japan

    Nobuki Takayama

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© 2006 Springer-Verlag Berlin Heidelberg

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Gawrilow, E., Joswig, M. (2006). Flexible Object Hierarchies in Polymake. In: Iglesias, A., Takayama, N. (eds) Mathematical Software - ICMS 2006. ICMS 2006. Lecture Notes in Computer Science, vol 4151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11832225_20

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  • DOI: https://doi.org/10.1007/11832225_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-38084-9

  • Online ISBN: 978-3-540-38086-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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