N. Dolbilin, Jin-ichi Itoh, Chie Nara, “Affine classes of 3-dimensional parallelohedra. Their parametrization”, Lecture Notes in Comput. Sci., 2013, Volume 8296,Pages <nobr>64–72</nobr>

RUS ENG

JOURNALS // Lecture Notes in Computer Science // Archive

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

Affine classes of 3-dimensional parallelohedra. Their parametrization

N. Dolbilin^a, Jin-ichi Itoh^b, Chie Nara^c

^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.

Language: English

DOI: 10.1007/978-3-642-45281-9_6

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024