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

El 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 pares

Identiferoai:union.ndltd.org:PERUUPC/oai:repositorioacademico.upc.edu.pe:10757/658719
Date01 January 2022
CreatorsFlores-Osorio, Alejandro Isaías, Lobo-da-Costa, Nielce Meneguelo, Espejo-Peña, Dennis Alberto, Cabracancha-Montesinos, Lenin Rolando
PublisherSpringer Science and Business Media Deutschland GmbH
Source SetsUniversidad Peruana de Ciencias Aplicadas (UPC)
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/article
Formatapplication/html
SourceUniversidad Peruana de Ciencias Aplicadas (UPC), Repositorio Académico - UPC, Smart Innovation, Systems and Technologies, 256, 343, 353
Rightsinfo:eu-repo/semantics/embargoedAccess
Relationhttps://link.springer.com/chapter/10.1007/978-981-16-5063-5_28

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