Atribución-NoComercial 4.0 InternacionalPaluszny Kluczynsky, Marco (Thesis advisor)Villa Isaza, Alejandro Alberto2019-06-292019-06-292014https://repositorio.unal.edu.co/handle/unal/51894Introduction: We will study the problem of finding a Dupin cyclide given three contact conditions. A contact condition is a point m in R3 and an orientation at that point, i.e., a vector with initial point m, this vector can be seen as the normal vector of an oriented plane through m. A Dupin cyclide that, historically, is defined as the envelope of a family of spheres which are simultaneously tangent to three given spheres, can be defined in the context of the projective five-dimensional space as 2-plane section of a quadric in this projective space. The points of this quadric correspond to oriented spheres in 3D.application/pdfspaDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/51 Matemáticas / MathematicsTrabajo de grado - Maestríahttp://bdigital.unal.edu.co/46120/info:eu-repo/semantics/openAccessDupin cyclidesSurfaces