Tiling 3 and 4-dimensional Euclidean spaces by Lee spheres

Szabó, Sándor. "Tiling 3 and 4-dimensional Euclidean spaces by Lee spheres." Serdica Mathematical Journal 40.1 (2014): 1-12. <http://eudml.org/doc/294984>.

@article{Szabó2014,
abstract = {The paper addresses the problem if the n-dimensional Euclidean space can be tiled with translated copies of Lee spheres of not necessarily equal radii such that at least one of the Lee spheres has radius at least 2. It will be showed that for n = 3, 4 there is no such tiling. 2010 Mathematics Subject Classification: Primary 94B60; Secondary 05B45, 52C22.},
author = {Szabó, Sándor},
journal = {Serdica Mathematical Journal},
keywords = {tiling by Lee spheres; integer tiling; lattice-like tiling; exact cover problem},
language = {eng},
number = {1},
pages = {1-12},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {Tiling 3 and 4-dimensional Euclidean spaces by Lee spheres},
url = {http://eudml.org/doc/294984},
volume = {40},
year = {2014},
}

TY - JOUR
AU - Szabó, Sándor
TI - Tiling 3 and 4-dimensional Euclidean spaces by Lee spheres
JO - Serdica Mathematical Journal
PY - 2014
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 40
IS - 1
SP - 1
EP - 12
AB - The paper addresses the problem if the n-dimensional Euclidean space can be tiled with translated copies of Lee spheres of not necessarily equal radii such that at least one of the Lee spheres has radius at least 2. It will be showed that for n = 3, 4 there is no such tiling. 2010 Mathematics Subject Classification: Primary 94B60; Secondary 05B45, 52C22.
LA - eng
KW - tiling by Lee spheres; integer tiling; lattice-like tiling; exact cover problem
UR - http://eudml.org/doc/294984
ER -