Dupin cyclides
Introduction: 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 cyclid...
- Autores:
-
Villa Isaza, Alejandro Alberto
- Tipo de recurso:
- Fecha de publicación:
- 2014
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/51894
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/51894
http://bdigital.unal.edu.co/46120/
- Palabra clave:
- 51 Matemáticas / Mathematics
Dupin cyclides
Surfaces
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | Introduction: 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. |
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