Lattice-like translation ball packings in Nil space (Q2915409)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Lattice-like translation ball packings in Nil space |
scientific article; zbMATH DE number 6083243
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lattice-like translation ball packings in Nil space |
scientific article; zbMATH DE number 6083243 |
Statements
Lattice-like translation ball packings in Nil space (English)
0 references
17 September 2012
0 references
Thurston geometries
0 references
translation ball
0 references
lattice-like ball packing
0 references
tiling
0 references
0.9113473
0 references
0.90566576
0 references
0.89502436
0 references
0.87488127
0 references
0.87036586
0 references
0.86839557
0 references
0.86494565
0 references
0.8641523
0 references
0 references
Nil geometry is one of the eight homogeneous Thurston 3-geometries. In the present paper the translation balls of the Nil space are studied, using the projective model of Nil geometry introduced by \textit{E. Molnár} [Beitr. Algebra Geom. 38, 261--288 (1997; Zbl 0889.51021)]. In particular, their volumes are computed. The author also provides estimates for the density of the optimal lattice-like translation ball packing and for the kissing number of the lattice-like ball packings.
0 references
