Affine Classes of 3-Dimensional Parallelohedra - Their Parametrization -

  • Nikolai Dolbilin
  • Jin-ichi Itoh
  • Chie Nara
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8296)

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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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Nikolai Dolbilin
    • 1
  • Jin-ichi Itoh
    • 2
  • Chie Nara
    • 3
  1. 1.Steklov Institute of MathematicsRussian Academy of ScienceMoscowRussia
  2. 2.Faculty of EducationKumamoto UniversityJapan
  3. 3.Liberal Arts Education Center, Aso CampusTokai UniversityAsoJapan

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