Abstract | ||
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In the paper the affine equivalence relation in the set of parallelohedra is studied. One proves the uniqueness theorem for a wide class of d-dimensional parallelohedra. From here it follows that for every d (≥2) the space of affine equivalent classes of d-dimensional primitive parallelohedra has dimension d(d+1)/2−1. |
Year | DOI | Venue |
---|---|---|
2010 | 10.1007/978-3-642-24983-9_6 | CGGA |
Keywords | Field | DocType |
d-dimensional parallelohedra,affine equivalence relation,uniqueness theorem,wide class,affine equivalent class,d-dimensional primitive parallelohedra | Affine transformation,Discrete mathematics,Hexagonal prism,Uniqueness theorem for Poisson's equation,Pure mathematics,Affine equivalence,Mathematics,Rhombic dodecahedron | Conference |
Volume | ISSN | Citations |
7033 | 0302-9743 | 1 |
PageRank | References | Authors |
0.47 | 2 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nikolai Dolbilin | 1 | 2 | 1.63 |
Jin-ichi Itoh | 2 | 47 | 10.17 |
Chie Nara | 3 | 5 | 5.54 |