On zonohedral parallelohedra. (English) Zbl 1142.52301
Syta, H. (ed.) et al., Voronoï’s impact on modern science. Book III. Proceedings of the 3rd Voronoï conference on analytic number theory and spatial tessellations. Kyiv: Institute of Mathematics (ISBN 966-02-2571-7; 966-02-3764-2). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine, Mathematics and its Applications 55, 109-125 (2005).
Summary: The sets of zone vectors of zonohedral parallelohedra are uniquely characterized. The combinatorial types of zonohedral parallelohedra in dimensions \(2\leq d\leq8\) are determined. For the maximal types the systems of zone vectors are given.
For the entire collection see [Zbl 1116.00011].
For the entire collection see [Zbl 1116.00011].
MSC:
| 52B12 | Special polytopes (linear programming, centrally symmetric, etc.) |
