Spherical tiling with GeoGebra

Detalhes bibliográficos
Autor(a) principal: Breda, Ana
Data de Publicação: 2019
Outros Autores: Santos, José dos
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/26593
Resumo: The theory of spherical tilings is an interesting and fruitful field, attracting, among other researchers, mathematicians. It is a transverse topic crossing several mathematical areas such as geometry, algebra, topology and number theory, but it is also an object of interest for other scientific fields such as chemistry, physics, art and architecture. Here, we make use of GeoGebra to establish some results, describing a class of monohedral spherical tilings and inferring some conjectures. This will highlight how the use of this software has been crucial for the construction of new knowledge in mathematics with applications in different areas of engineering.
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spelling Spherical tiling with GeoGebraGeoGebraTilingSpherical geometryPolygonPointsStraight linesIsometryThe theory of spherical tilings is an interesting and fruitful field, attracting, among other researchers, mathematicians. It is a transverse topic crossing several mathematical areas such as geometry, algebra, topology and number theory, but it is also an object of interest for other scientific fields such as chemistry, physics, art and architecture. Here, we make use of GeoGebra to establish some results, describing a class of monohedral spherical tilings and inferring some conjectures. This will highlight how the use of this software has been crucial for the construction of new knowledge in mathematics with applications in different areas of engineering.Indian Academy of Sciences, Springer2019-09-20T11:05:20Z2019-08-01T00:00:00Z2019-08info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/26593eng0971-804410.1007/s12045-019-0849-6Breda, AnaSantos, José dosinfo: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:RCAAP2024-02-22T11:51:30Zoai:ria.ua.pt:10773/26593Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:59:32.535600Repositório 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 Spherical tiling with GeoGebra
title Spherical tiling with GeoGebra
spellingShingle Spherical tiling with GeoGebra
Breda, Ana
GeoGebra
Tiling
Spherical geometry
Polygon
Points
Straight lines
Isometry
title_short Spherical tiling with GeoGebra
title_full Spherical tiling with GeoGebra
title_fullStr Spherical tiling with GeoGebra
title_full_unstemmed Spherical tiling with GeoGebra
title_sort Spherical tiling with GeoGebra
author Breda, Ana
author_facet Breda, Ana
Santos, José dos
author_role author
author2 Santos, José dos
author2_role author
dc.contributor.author.fl_str_mv Breda, Ana
Santos, José dos
dc.subject.por.fl_str_mv GeoGebra
Tiling
Spherical geometry
Polygon
Points
Straight lines
Isometry
topic GeoGebra
Tiling
Spherical geometry
Polygon
Points
Straight lines
Isometry
description The theory of spherical tilings is an interesting and fruitful field, attracting, among other researchers, mathematicians. It is a transverse topic crossing several mathematical areas such as geometry, algebra, topology and number theory, but it is also an object of interest for other scientific fields such as chemistry, physics, art and architecture. Here, we make use of GeoGebra to establish some results, describing a class of monohedral spherical tilings and inferring some conjectures. This will highlight how the use of this software has been crucial for the construction of new knowledge in mathematics with applications in different areas of engineering.
publishDate 2019
dc.date.none.fl_str_mv 2019-09-20T11:05:20Z
2019-08-01T00:00:00Z
2019-08
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/10773/26593
url http://hdl.handle.net/10773/26593
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0971-8044
10.1007/s12045-019-0849-6
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.publisher.none.fl_str_mv Indian Academy of Sciences, Springer
publisher.none.fl_str_mv Indian Academy of Sciences, Springer
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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instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection 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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