Packing of R3 by Crosses

Detalhes bibliográficos
Autor(a) principal: Cruz, Catarina
Data de Publicação: 2019
Outros Autores: Breda, Ana M. D'Azevedo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.26/47517
Resumo: The existence of tilings of by crosses, a cluster of unit cubes comprising a central one and arms, has been studied by several authors. We have completely solved the problem for characterizing the crosses which lattice tile 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 by crosses.
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spelling Packing of R3 by CrossesMathematics of computingEnumerationThe existence of tilings of by crosses, a cluster of unit cubes comprising a central one and arms, has been studied by several authors. We have completely solved the problem for characterizing the crosses which lattice tile 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 by crosses.Repositório ComumCruz, CatarinaBreda, Ana M. D'Azevedo2023-10-25T11:31:16Z20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.26/47517eng10.1145/3343485.3343502info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-10-26T02:16:55Zoai:comum.rcaap.pt:10400.26/47517Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:39:37.382607Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Packing of R3 by Crosses
title Packing of R3 by Crosses
spellingShingle Packing of R3 by Crosses
Cruz, Catarina
Mathematics of computing
Enumeration
title_short Packing of R3 by Crosses
title_full Packing of R3 by Crosses
title_fullStr Packing of R3 by Crosses
title_full_unstemmed Packing of R3 by Crosses
title_sort Packing of R3 by Crosses
author Cruz, Catarina
author_facet Cruz, Catarina
Breda, Ana M. D'Azevedo
author_role author
author2 Breda, Ana M. D'Azevedo
author2_role author
dc.contributor.none.fl_str_mv Repositório Comum
dc.contributor.author.fl_str_mv Cruz, Catarina
Breda, Ana M. D'Azevedo
dc.subject.por.fl_str_mv Mathematics of computing
Enumeration
topic Mathematics of computing
Enumeration
description The existence of tilings of by crosses, a cluster of unit cubes comprising a central one and arms, has been studied by several authors. We have completely solved the problem for characterizing the crosses which lattice tile 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 by crosses.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01T00:00:00Z
2023-10-25T11:31:16Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.26/47517
url http://hdl.handle.net/10400.26/47517
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1145/3343485.3343502
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eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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