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Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/32946
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dc.contributor.authorCruz, Catarina M. N.pt_PT
dc.contributor.authorBreda, Ana M. D'Azevedopt_PT
dc.date.accessioned2022-01-18T17:59:36Z-
dc.date.issued2019-
dc.identifier.isbn978-1-4503-7168-1-
dc.identifier.urihttp://hdl.handle.net/10773/32946-
dc.description.abstractThe existence of tilings of R^n by crosses, a cluster of unit cubes comprising a central one and 2n arms, has been studied by several authors. We have completely solved the problem for R^2, characterizing the crosses which lattice tile R^2, as well as determining the maximum packing density for the crosses which do not lattice tile the plane. In this paper we motivate a similar approach to study lattice packings of R^3 by crosses.pt_PT
dc.description.abstractThe existence of tilings of Rn by crosses, a cluster of unit cubes comprising a central one and 2n arms, has been studied by several authors. We have completely solved the problem for R2 characterizing the crosses which lattice tile R2 as well as determining the maximum packing density for the crosses which do not lattice tile the plane. In this paper we motivate a similar approach to study lattice packings of R3 by crosses.pt_PT
dc.language.isoengpt_PT
dc.publisherAssociation for Computing Machinery (ACM)pt_PT
dc.relationUID/MAT/04106/2019pt_PT
dc.rightsopenAccesspt_PT
dc.subjectPackingpt_PT
dc.subjectTilingpt_PT
dc.subjectLatticept_PT
dc.subjectCrosspt_PT
dc.subjectHomomorphismpt_PT
dc.subjectAbelian grouppt_PT
dc.titlePacking of R3 by crossespt_PT
dc.typebookPartpt_PT
dc.description.versionpublishedpt_PT
dc.peerreviewedyespt_PT
ua.event.date8-10 julho, 2019pt_PT
degois.publication.firstPage1pt_PT
degois.publication.lastPage5pt_PT
degois.publication.titleICoMS'19: Proceedings of the 2019 2nd International Conference on Mathematics and Statisticspt_PT
dc.date.embargo2019-
dc.identifier.doi10.1145/3343485.3343502pt_PT
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