| Code |
17871
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| Year |
2
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| Semester |
S1
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| ECTS Credits |
4
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| Workload |
TP(45H)
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| Scientific area |
Mathematics
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Entry requirements |
-
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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.
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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.
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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.
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Teaching Methodologies and Assessment Criteria |
- The assessment of knowledge during the Teaching-Learning process will consist of 3 individual assignments (T1, T2, and T3), 1 group assignment (TG), and 1 written test/exam (F).
- The grades obtained in the individual assignments (T1, T2, and T3), the group assignment (TG), and the written test (F) are presented on a 0-20 scale. The final Teaching-Learning grade (CF) will be determined by rounding to the nearest whole number using the following calculation:
CF = (1/3)F + (1/3)((T1 + T2 + T3)/3) + (1/3)TG
- To be admitted to the final exam, the student must have attended at least one class or completed at least one assessment activity.
- Students with a Teaching-Learning grade equal to or higher than 10 will be exempt from the final exam.
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Language |
Portuguese. Tutorial support is available in English.
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