Convexity in the Design of Bounded Surfaces and Unconventional Solids Using GeoGebra AR

Descripción del Articulo

El texto completo de este trabajo no está disponible en el Repositorio Académico UPC por restricciones de la casa editorial donde ha sido publicado.
Detalles Bibliográficos
Autores: Flores-Osorio, Alejandro Isaías, Lobo-da-Costa, Nielce Meneguelo, Espejo-Peña, Dennis Alberto, Cabracancha-Montesinos, Lenin Rolando
Formato: artículo
Fecha de Publicación:2022
Institución:Universidad Peruana de Ciencias Aplicadas
Repositorio:UPC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorioacademico.upc.edu.pe:10757/658719
Enlace del recurso:http://hdl.handle.net/10757/658719
Nivel de acceso:acceso embargado
Materia:Bounded surfaces
Convexity
GeoGebra AR
Unconventional solids
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network_acronym_str UUPC
network_name_str UPC-Institucional
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dc.title.es_PE.fl_str_mv Convexity in the Design of Bounded Surfaces and Unconventional Solids Using GeoGebra AR
title Convexity in the Design of Bounded Surfaces and Unconventional Solids Using GeoGebra AR
spellingShingle Convexity in the Design of Bounded Surfaces and Unconventional Solids Using GeoGebra AR
Flores-Osorio, Alejandro Isaías
Bounded surfaces
Convexity
GeoGebra AR
Unconventional solids
title_short Convexity in the Design of Bounded Surfaces and Unconventional Solids Using GeoGebra AR
title_full Convexity in the Design of Bounded Surfaces and Unconventional Solids Using GeoGebra AR
title_fullStr Convexity in the Design of Bounded Surfaces and Unconventional Solids Using GeoGebra AR
title_full_unstemmed Convexity in the Design of Bounded Surfaces and Unconventional Solids Using GeoGebra AR
title_sort Convexity in the Design of Bounded Surfaces and Unconventional Solids Using GeoGebra AR
author Flores-Osorio, Alejandro Isaías
author_facet Flores-Osorio, Alejandro Isaías
Lobo-da-Costa, Nielce Meneguelo
Espejo-Peña, Dennis Alberto
Cabracancha-Montesinos, Lenin Rolando
author_role author
author2 Lobo-da-Costa, Nielce Meneguelo
Espejo-Peña, Dennis Alberto
Cabracancha-Montesinos, Lenin Rolando
author2_role author
author
author
dc.contributor.author.fl_str_mv Flores-Osorio, Alejandro Isaías
Lobo-da-Costa, Nielce Meneguelo
Espejo-Peña, Dennis Alberto
Cabracancha-Montesinos, Lenin Rolando
dc.subject.es_PE.fl_str_mv Bounded surfaces
Convexity
GeoGebra AR
Unconventional solids
topic Bounded surfaces
Convexity
GeoGebra AR
Unconventional solids
description El texto completo de este trabajo no está disponible en el Repositorio Académico UPC por restricciones de la casa editorial donde ha sido publicado.
publishDate 2022
dc.date.accessioned.none.fl_str_mv 2022-01-28T22:40:55Z
dc.date.available.none.fl_str_mv 2022-01-28T22:40:55Z
dc.date.issued.fl_str_mv 2022-01-01
dc.type.es_PE.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.issn.none.fl_str_mv 21903018
dc.identifier.doi.none.fl_str_mv 10.1007/978-981-16-5063-5_28
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10757/658719
dc.identifier.eissn.none.fl_str_mv 21903026
dc.identifier.journal.es_PE.fl_str_mv Smart Innovation, Systems and Technologies
dc.identifier.eid.none.fl_str_mv 2-s2.0-85120528041
dc.identifier.scopusid.none.fl_str_mv SCOPUS_ID:85120528041
dc.identifier.isni.none.fl_str_mv 0000 0001 2196 144X
identifier_str_mv 21903018
10.1007/978-981-16-5063-5_28
21903026
Smart Innovation, Systems and Technologies
2-s2.0-85120528041
SCOPUS_ID:85120528041
0000 0001 2196 144X
url http://hdl.handle.net/10757/658719
dc.language.iso.es_PE.fl_str_mv eng
language eng
dc.relation.url.es_PE.fl_str_mv https://link.springer.com/chapter/10.1007/978-981-16-5063-5_28
dc.rights.es_PE.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.format.es_PE.fl_str_mv application/html
dc.publisher.es_PE.fl_str_mv Springer Science and Business Media Deutschland GmbH
dc.source.es_PE.fl_str_mv Universidad Peruana de Ciencias Aplicadas (UPC)
Repositorio Académico - UPC
dc.source.none.fl_str_mv reponame:UPC-Institucional
instname:Universidad Peruana de Ciencias Aplicadas
instacron:UPC
instname_str Universidad Peruana de Ciencias Aplicadas
instacron_str UPC
institution UPC
reponame_str UPC-Institucional
collection UPC-Institucional
dc.source.journaltitle.none.fl_str_mv Smart Innovation, Systems and Technologies
dc.source.volume.none.fl_str_mv 256
dc.source.beginpage.none.fl_str_mv 343
dc.source.endpage.none.fl_str_mv 353
bitstream.url.fl_str_mv https://repositorioacademico.upc.edu.pe/bitstream/10757/658719/1/license.txt
bitstream.checksum.fl_str_mv 8a4605be74aa9ea9d79846c1fba20a33
bitstream.checksumAlgorithm.fl_str_mv MD5
repository.name.fl_str_mv Repositorio académico upc
repository.mail.fl_str_mv upc@openrepository.com
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spelling 982b54be230c655e0682a15dc7d8ee54c4dda7be0a144e5a57d52ca7cb0e81bf300bc198e4fa4edaf1e402b4fb7a90af37b08f7f5f4d84281a7c4db0e9930749203Flores-Osorio, Alejandro IsaíasLobo-da-Costa, Nielce MenegueloEspejo-Peña, Dennis AlbertoCabracancha-Montesinos, Lenin Rolando2022-01-28T22:40:55Z2022-01-28T22:40:55Z2022-01-012190301810.1007/978-981-16-5063-5_28http://hdl.handle.net/10757/65871921903026Smart Innovation, Systems and Technologies2-s2.0-85120528041SCOPUS_ID:851205280410000 0001 2196 144XEl texto completo de este trabajo no está disponible en el Repositorio Académico UPC por restricciones de la casa editorial donde ha sido publicado.The present investigation focuses on the mathematical concept of convexity, as the main tool for the graphic construction of bounded surfaces explicitly and implicitly described, as well as the construction of unconventional solids using GeoGebra. Two cases are presented in which the importance of the concept of convexity is highlighted, in the first situation the convexity is used in the argument of the surface command together with the curves that delimit it to graph a bounded surface, while in the second situation the convexity is evidenced by expressing the coordinates of the surface in parametric form. On the other hand, the 3D graphic view combined with the GeoGebra AR tool allows one to visualize, manipulate, understand and improve the abstraction of mathematical objects that are built in three-dimensional space in a dynamic and friendly environment. These constructions in three-dimensional space that are complex when sketching them with pencil and paper are easier when linking the mathematical definitions with free software such as GeoGebra.Revisón por paresapplication/htmlengSpringer Science and Business Media Deutschland GmbHhttps://link.springer.com/chapter/10.1007/978-981-16-5063-5_28info:eu-repo/semantics/embargoedAccessUniversidad Peruana de Ciencias Aplicadas (UPC)Repositorio Académico - UPCSmart Innovation, Systems and Technologies256343353reponame:UPC-Institucionalinstname:Universidad Peruana de Ciencias Aplicadasinstacron:UPCBounded surfacesConvexityGeoGebra ARUnconventional solidsConvexity in the Design of Bounded Surfaces and Unconventional Solids Using GeoGebra ARinfo:eu-repo/semantics/articleLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorioacademico.upc.edu.pe/bitstream/10757/658719/1/license.txt8a4605be74aa9ea9d79846c1fba20a33MD51false10757/658719oai:repositorioacademico.upc.edu.pe:10757/6587192022-01-28 22:40:55.757Repositorio académico upcupc@openrepository.comTk9URTogUExBQ0UgWU9VUiBPV04gTElDRU5TRSBIRVJFClRoaXMgc2FtcGxlIGxpY2Vuc2UgaXMgcHJvdmlkZWQgZm9yIGluZm9ybWF0aW9uYWwgcHVycG9zZXMgb25seS4KCk5PTi1FWENMVVNJVkUgRElTVFJJQlVUSU9OIExJQ0VOU0UKCkJ5IHNpZ25pbmcgYW5kIHN1Ym1pdHRpbmcgdGhpcyBsaWNlbnNlLCB5b3UgKHRoZSBhdXRob3Iocykgb3IgY29weXJpZ2h0Cm93bmVyKSBncmFudHMgdG8gRFNwYWNlIFVuaXZlcnNpdHkgKERTVSkgdGhlIG5vbi1leGNsdXNpdmUgcmlnaHQgdG8gcmVwcm9kdWNlLAp0cmFuc2xhdGUgKGFzIGRlZmluZWQgYmVsb3cpLCBhbmQvb3IgZGlzdHJpYnV0ZSB5b3VyIHN1Ym1pc3Npb24gKGluY2x1ZGluZwp0aGUgYWJzdHJhY3QpIHdvcmxkd2lkZSBpbiBwcmludCBhbmQgZWxlY3Ryb25pYyBmb3JtYXQgYW5kIGluIGFueSBtZWRpdW0sCmluY2x1ZGluZyBidXQgbm90IGxpbWl0ZWQgdG8gYXVkaW8gb3IgdmlkZW8uCgpZb3UgYWdyZWUgdGhhdCBEU1UgbWF5LCB3aXRob3V0IGNoYW5naW5nIHRoZSBjb250ZW50LCB0cmFuc2xhdGUgdGhlCnN1Ym1pc3Npb24gdG8gYW55IG1lZGl1bSBvciBmb3JtYXQgZm9yIHRoZSBwdXJwb3NlIG9mIHByZXNlcnZhdGlvbi4KCllvdSBhbHNvIGFncmVlIHRoYXQgRFNVIG1heSBrZWVwIG1vcmUgdGhhbiBvbmUgY29weSBvZiB0aGlzIHN1Ym1pc3Npb24gZm9yCnB1cnBvc2VzIG9mIHNlY3VyaXR5LCBiYWNrLXVwIGFuZCBwcmVzZXJ2YXRpb24uCgpZb3UgcmVwcmVzZW50IHRoYXQgdGhlIHN1Ym1pc3Npb24gaXMgeW91ciBvcmlnaW5hbCB3b3JrLCBhbmQgdGhhdCB5b3UgaGF2ZQp0aGUgcmlnaHQgdG8gZ3JhbnQgdGhlIHJpZ2h0cyBjb250YWluZWQgaW4gdGhpcyBsaWNlbnNlLiBZb3UgYWxzbyByZXByZXNlbnQKdGhhdCB5b3VyIHN1Ym1pc3Npb24gZG9lcyBub3QsIHRvIHRoZSBiZXN0IG9mIHlvdXIga25vd2xlZGdlLCBpbmZyaW5nZSB1cG9uCmFueW9uZSdzIGNvcHlyaWdodC4KCklmIHRoZSBzdWJtaXNzaW9uIGNvbnRhaW5zIG1hdGVyaWFsIGZvciB3aGljaCB5b3UgZG8gbm90IGhvbGQgY29weXJpZ2h0LAp5b3UgcmVwcmVzZW50IHRoYXQgeW91IGhhdmUgb2J0YWluZWQgdGhlIHVucmVzdHJpY3RlZCBwZXJtaXNzaW9uIG9mIHRoZQpjb3B5cmlnaHQgb3duZXIgdG8gZ3JhbnQgRFNVIHRoZSByaWdodHMgcmVxdWlyZWQgYnkgdGhpcyBsaWNlbnNlLCBhbmQgdGhhdApzdWNoIHRoaXJkLXBhcnR5IG93bmVkIG1hdGVyaWFsIGlzIGNsZWFybHkgaWRlbnRpZmllZCBhbmQgYWNrbm93bGVkZ2VkCndpdGhpbiB0aGUgdGV4dCBvciBjb250ZW50IG9mIHRoZSBzdWJtaXNzaW9uLgoKSUYgVEhFIFNVQk1JU1NJT04gSVMgQkFTRUQgVVBPTiBXT1JLIFRIQVQgSEFTIEJFRU4gU1BPTlNPUkVEIE9SIFNVUFBPUlRFRApCWSBBTiBBR0VOQ1kgT1IgT1JHQU5JWkFUSU9OIE9USEVSIFRIQU4gRFNVLCBZT1UgUkVQUkVTRU5UIFRIQVQgWU9VIEhBVkUKRlVMRklMTEVEIEFOWSBSSUdIVCBPRiBSRVZJRVcgT1IgT1RIRVIgT0JMSUdBVElPTlMgUkVRVUlSRUQgQlkgU1VDSApDT05UUkFDVCBPUiBBR1JFRU1FTlQuCgpEU1Ugd2lsbCBjbGVhcmx5IGlkZW50aWZ5IHlvdXIgbmFtZShzKSBhcyB0aGUgYXV0aG9yKHMpIG9yIG93bmVyKHMpIG9mIHRoZQpzdWJtaXNzaW9uLCBhbmQgd2lsbCBub3QgbWFrZSBhbnkgYWx0ZXJhdGlvbiwgb3RoZXIgdGhhbiBhcyBhbGxvd2VkIGJ5IHRoaXMKbGljZW5zZSwgdG8geW91ciBzdWJtaXNzaW9uLgo=
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Convexity in the Design of Bounded Surfaces and Unconventional Solids Using GeoGebra AR
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