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Visualization in topology: assembling the projective plane

  • Conference paper
Visualization in Scientific Computing ’97

Part of the book series: Eurographics ((EUROGRAPH))

  • 209 Accesses

Abstract

Assembling the projective plane in 3D space from a Möbius band and a disc is animated. Various properties and representations of the projective plane are visualized.

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References

  1. T. Delmarcelle and L. Hesselink, “The Topology of Symmetric Second-order Tensor Fields”, Proceedings IEEE Visualization ’94, October 17–21, 1994, Washington, D.C., pp. 140–147. Material is available on WWW site http://www.nas.nasa.gov/NAS/RelatedPapers/StanfordTensorFieldVis/home.html

  2. James P. Sethna “Order Parameters, Broken Symmetry, and Topology” in 1991 Lectures in Complex Systems, Eds. L. Nagel and D. Stein, Santa Fe Institute Studies in the Sciences of Complexity, Proc. Vol. XV, Addison-Wesley, 1992.http://www.lassp.cornell.edu/sethna/OrderParameters/Intro.html

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  5. A.T.Fomenko, Descriptive Geometry and Topology, Moscow University Press, 1992.

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Author information

Authors and Affiliations

  1. Russian Center of Computing for Physics and Technology RCCPT, 142284, Protvino, Moscow region, Russia

    Stanislav Klimenkol & Igor Nikitin

  2. Visualization and Media Systems Design — VMSD, German National Research Center for Information Technology GMD, Schloss Birlinghoven, 53574, Sankt Augustin, Germany

    Martin Göbel & Henrik Tramberend

Authors
  1. Stanislav Klimenkol
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  2. Igor Nikitin
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  3. Martin Göbel
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  4. Henrik Tramberend
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Editor information

Editors and Affiliations

  1. Laboratoire d’Informatique du Littoral, Université du Littoral, Calais, France

    Wilfrid Lefer

  2. Office National d’Etudes et de Recherches Aerospatiales, Châtillon, France

    Michel Grave

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© 1997 Springer-Verlag/Wein

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Klimenkol, S., Nikitin, I., Göbel, M., Tramberend, H. (1997). Visualization in topology: assembling the projective plane. In: Lefer, W., Grave, M. (eds) Visualization in Scientific Computing ’97. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6876-9_9

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  • DOI: https://doi.org/10.1007/978-3-7091-6876-9_9

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83049-9

  • Online ISBN: 978-3-7091-6876-9

  • eBook Packages: Springer Book Archive

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