PACKING OF R2 BY CROSSES

被引：1
|
作者：
Cruz, C. N. [1 ]
Breda, A. M. d'Azevedo [1 ]
Pinto, M. R. [1 ]
机构：
[1] Univ Aveiro, Dept Math, Campus Santiago, P-3810193 Aveiro, Portugal
来源：
MATHEMATICA SLOVACA | 2015年 / 65卷 / 05期
关键词：
packing; lattice; homomorphism; Abelian group; CODES;
D O I：
10.1515/ms-2015-0063
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A cross in R-n is a cluster of unit cubes comprising a central one and 2n arms. In their monograph Algebra and Tiling, Stein and Szabo suggested that tilings of R-n by crosses should be studied. The question of the existence of such a tiling has been answered by various authors for many special cases. In this paper we completely solve the problem for R-2. In fact we do not only characterize crosses for which there exists a tiling of R-2 but for each cross we determine its maximum packing density. (C) 2015 Mathematical Institute Slovak Academy of Sciences
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页码：935 / 956
页数：22
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