Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3448

 Title: Tiling 3 and 4-dimensional Euclidean spaces by Lee spheres Authors: Szabó, Sándor Keywords: tiling by Lee spheresinteger tilinglattice-like tilingexact cover problem Issue Date: 2014 Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 40, No 1, (2014), 1p-12p 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. URI: http://hdl.handle.net/10525/3448 ISSN: 1310-6600 Appears in Collections: Volume 40, Number 1

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