| Code |
17871
|
| Year |
2
|
| Semester |
S1
|
| ECTS Credits |
4
|
| Workload |
TP(45H)
|
| Scientific area |
Mathematics
|
|
Entry requirements |
-
|
|
Learning outcomes |
This course aims to provide students with the skills to construct and explore geometric models applied to Architecture, combining essential theoretical concepts with practical methodologies for three-dimensional modeling. The goal is for students to gain a solid understanding of geometric foundations, develop the ability to model complex forms, and master the digital and physical tools required for architectural design and production.
|
|
Syllabus |
NUMBERS AND GEOMETRY: Proportions; geometric constructions; geometric transformations in the plane and in space.
CURVES: Classical curves and free-form curves (Bézier, B-spline).
SURFACES: Classical surfaces (quadratic), ruled surfaces, and free-form surfaces (Bézier, B-spline, and NURBS); meshes; subdivision surfaces; surface operations: boolean, trimming, and splitting.
MODELING: From geometric design to the material production of models.
|
|
Main Bibliography |
1. Burry, J., & Burry, M. (2010). *The New Mathematics of Architecture*. London: Thames & Hudson.
2. Ching, F. D. K. (2007). *Architecture: Form, Space, and Order*. New York: John Wiley & Sons.
3. Ghyka, M. (2014). *The Geometry of Art and Life*. New York: Dover Publications.
4. Le Corbusier & Sequeira, M. (2010). *Modulor*. Lisboa: Orfeu Negro.
5. Pottmann, H., Asperl, A., Hofer, M., & Bentley, D. (2009). *Architectural Geometry*. Exton: Bentley Institute Press.
|
|
Language |
Portuguese. Tutorial support is available in English.
|