Packing of R3 by Crosses
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | |
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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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 |
format |
article |
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 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133657249611776 |