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Lecture Notes in Comput. Sci., 2013, Volume 8296, Pages 64–72 (Mi lncs7)  

Affine classes of 3-dimensional parallelohedra. Their parametrization

N. Dolbilina, Jin-ichi Itohb, Chie Narac

a Steklov Institute of Mathematics, Russian Academy of Science, ul. Gubkina 8, Moscow, 119991, Russia
b Faculty of Education, Kumamoto University, Kumamoto, 860-8555, Japan
c Liberal Arts Education Center, Aso Campus, Tokai University, Aso, Kumamoto, 869-1404, Japan

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.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 11.G34.31.0053
Russian Foundation for Basic Research 11-01-00633-a
Japan Society for the Promotion of Science 23540098
23540160
Supported by the RF goverment grant N 11.G34.31.0053 and the RFBR grant 11-01-00633-a. Supported by Grant-in Aid for Scientific Research (No. 23540098), JSPS. Supported by Grant-in Aid for Scientific Research (No. 23540160), JSPS.


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


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