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)


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.


Steklov Institute Uniqueness Theorem Combinatorial Type Equivalent Classis Rhombic Dodecahedron 
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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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