Year: 2024
Type: article
Abstract: This work aims to classify the families of curves obtained by the intersection of an arbitrary hyperbolic cylinder with an arbitrary torus sharing the same center, based on the number of their connected components and the number of their self-intersections points. The graphic geometric representation of these curves, in GeoGebra, and the respective algebraic descriptions, supported from a theoretical and computational point of view, are of fundamental importance for the development of this work. In this paper, we describe the procedure and the necessary implementation to achieve the outlined objective.
Institutions: University of Aveiro, University of Coimbra
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Awards: Centro de Matemática da Universidade de Coimbra, G182503756, Centro de Investigação e Inovação em Educação, Centro de Investigação e Desenvolvimento em Matemática e Aplicações, G2728874124, G3069120617, G3461949579, G3818084518, G4941397794, G5184874119, G6997658380, Centro de Investigação e Desenvolvimento em Matemática e Aplicações, G8832587989
OpenAlex ID: W4402819988