TY - GEN
T1 - Object Projection from to in Bachelor’s Degree with GeoGebra
AU - Jiménez-Vilcherrez, Judith K.
AU - Ipanaqué-Chero, Robert
AU - Velezmoro-León, Ricardo
AU - Velásquez-Fernández, Marcela F.
AU - Ipanaqué-Silva, Rolando E.
AU - Silva-More, César
N1 - Publisher Copyright:
© 2024, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2024
Y1 - 2024
N2 - Projecting objects from to is a subject deeply studied since the dawn of civilization; so much so, that all software that includes graphing tools show flat objects (on a flat screen) as if they were in three-dimensional space. Currently, there are various studies regarding the projection of objects from to and their visualization. This paper describes various Dynamic Worksheets developed in the dynamic mathematics software GeoGebra that visualize the projection of the unit hypersphere and the unit “complex circumference” from to, having as reference Pohlke-Schwarz theorem and some concepts of linear algebra. These Dynamic Worksheets will be delivered to the students of the Differential Geometry course of the Mathematics Program at the Universidad Nacional de Piura. Some of the examples to be developed in the classroom are shown and described.
AB - Projecting objects from to is a subject deeply studied since the dawn of civilization; so much so, that all software that includes graphing tools show flat objects (on a flat screen) as if they were in three-dimensional space. Currently, there are various studies regarding the projection of objects from to and their visualization. This paper describes various Dynamic Worksheets developed in the dynamic mathematics software GeoGebra that visualize the projection of the unit hypersphere and the unit “complex circumference” from to, having as reference Pohlke-Schwarz theorem and some concepts of linear algebra. These Dynamic Worksheets will be delivered to the students of the Differential Geometry course of the Mathematics Program at the Universidad Nacional de Piura. Some of the examples to be developed in the classroom are shown and described.
KW - Complex Functions with GeoGebra
KW - Differential Geometry with GeoGebra
KW - Pohlke-Schwarz Theorem with GeoGebra
KW - Projections with GeoGebra
UR - http://www.scopus.com/inward/record.url?scp=85180787054&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-48858-0_13
DO - 10.1007/978-3-031-48858-0_13
M3 - Conference contribution
AN - SCOPUS:85180787054
SN - 9783031488573
T3 - Communications in Computer and Information Science
SP - 154
EP - 168
BT - Advanced Research in Technologies, Information, Innovation and Sustainability - 3rd International Conference, ARTIIS 2023, Proceedings
A2 - Guarda, Teresa
A2 - Portela, Filipe
A2 - Diaz-Nafria, Jose Maria
PB - Springer Science and Business Media Deutschland GmbH
T2 - 3rd International Conference on Advanced Research in Technologies, Information, Innovation and Sustainability, ARTIIS 2023
Y2 - 18 October 2023 through 20 October 2023
ER -