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Affine Classes of 3-Dimensional Parallelohedra - Their Parametrization -

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Computational Geometry and Graphs (TJJCCGG 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8296))

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Abstract

In addition to the well-known classification of 3-dimensional parallelohedra we describe this important class of polytopes classified by the affine equivalence relation and parametrize representatives of their equivalent classes.

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References

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  6. Dolbilin, N., Itoh, J.-I., Nara, C.: Affine equivalent classes of parallelohedra. In: Akiyama, J., Bo, J., Kano, M., Tan, X. (eds.) CGGA 2010. LNCS, vol. 7033, pp. 55–60. Springer, Heidelberg (2011)

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Author information

Authors and Affiliations

  1. Steklov Institute of Mathematics, Russian Academy of Science, ul. Gubkina 8, Moscow, 119991, Russia

    Nikolai Dolbilin

  2. Faculty of Education, Kumamoto University, Kumamoto, 860-8555, Japan

    Jin-ichi Itoh

  3. Liberal Arts Education Center, Aso Campus, Tokai University, Aso, Kumamoto, 869-1404, Japan

    Chie Nara

Authors
  1. Nikolai Dolbilin
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  2. Jin-ichi Itoh
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  3. Chie Nara
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Editor information

Editors and Affiliations

  1. Research Center for Math and Science Education, Tokyo University of Science, 1-3 Kagurazaki, 162-8601, Shinjuku, Tokyo, Japan

    Jin Akiyama

  2. Department of Computer and Information Science, Ibaraki University, Hitachi, Ibaraki, Japan

    Mikio Kano

  3. Research Institute of Educational Development, Tokai University, Tomigaya, Shibuya-ku, Tokyo, Japan

    Toshinori Sakai

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Dolbilin, N., Itoh, Ji., Nara, C. (2013). Affine Classes of 3-Dimensional Parallelohedra - Their Parametrization -. In: Akiyama, J., Kano, M., Sakai, T. (eds) Computational Geometry and Graphs. TJJCCGG 2012. Lecture Notes in Computer Science, vol 8296. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45281-9_6

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  • DOI: https://doi.org/10.1007/978-3-642-45281-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-45280-2

  • Online ISBN: 978-3-642-45281-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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