Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/16231
Title: Packing of R^2 by Crosses
Other Titles: Packing of R2 by crosses
Author: Cruz, Catarina Neto
Breda, Ana
Pinto, Raquel
Keywords: Packing
Lattice
Homomorphism
Abelian group
Issue Date: 2015
Publisher: De Gruyter
Abstract: A cross in Rn is a cluster of unit cubes comprising a central one and 2n arms. In their monograph Algebra and Tiling, Stein and Szabó suggested that tilings of ℝn 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 ℝ2. In fact we do not only characterize crosses for which there exists a tiling of ℝ2 but for each cross we determine its maximum packing density.
Peer review: yes
URI: http://hdl.handle.net/10773/16231
DOI: 10.1515/ms-2015-0063
ISSN: 0139-9918
Appears in Collections:CIDMA - Artigos
AGG - Artigos

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