Spherical tiling with GeoGebra
Autor(a) principal: | |
---|---|
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/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. |
id |
RCAP_89274bf06f3db17fe0bf2e578ee100b0 |
---|---|
oai_identifier_str |
oai:ria.ua.pt:10773/26593 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
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 |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
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 |
repository.mail.fl_str_mv |
|
_version_ |
1799137650196611072 |