1. FUNDAMENTOS DE GEOMETRIA
1.1 Elementos: Definição e critérios de classificação de curvas, superfícies e sólidos.
1.2 Relações e transformações geométricas.
1.3 Invariantes e geometrias.
2. MODELAÇAO E COMPUTAÇÃO GEOMÉTRICA
2.1 A geometria e o computador: Implicações do uso de um novo instrumento e ambiente.
2.2 A representação digital (CAD): Modelação por superfícies vs. modelação por sólidos. A modelação explícita, modelação paramétrica, computação generativa e evolutiva.
2.3 A engenharia digital (CAE): O método dos elementos finitos (FEM), a computação dinâmica de fluidos (CFD), análise ambiental.
2.4 A manufacturação digital (CAM): O controlo numérico por computador (CNC). As tecnologias de fabrico por adição, subtracção e formação. Tecnologias emergentes de construção robótica.
2.5 Introdução à prática de modelação e computação digital em Rhinoceros.
3. GEOMETRIA CONSTRUTIVA
3.1 O papel da geometria na arquitectura contemporânea. Análise de casos-de-estudo práticos reveladores das implicações formais, estruturais e performativas (formas livres, variação, adaptação).
3.2 Temas e problemas de geometria construtiva: Superfícies planas, regradas, de curvatura simples e de curvatura dupla. Estruturas formais e espaciais de desenvolvimento 2D e 3D. Componentes paramétricos.
3.3 Da concepção à materialização: Metodologias digitais (top-down) de subdivisão, racionalização, análise, planificação e construção geométrica.
3.4 Do componente ao projecto: Metodologias digitais (bottom-up) de abordagem ao projecto a partir da definição de componentes paramétricos.
1. GEOMETRIC PRINCIPLES
1.1 Elements: definition and criteria for the classification of curves, surfaces and solids.
1.2 Geometric relations and transformations.
1.3 Invariants and geometries.
2. GEOMETRIC MODELING AND COMPUTATION
2.1 Geometry and the computer: the implications of a new tool and media.
2.2 Digital representation (CAD): Surface modeling vs. solid modeling. Explicit modeling, parametric modeling, generative and evolutionary computation.
2.3 Digital engineering (CAE): The finite element analysis (FEA), computational fluid dynamics (CFD), environmental analysis.
2.4 Digital manufacturing (CAM): The computer numerical control (CNC). Additive, subtractive and formative fabrication technologies. Emergent robotic technologies for building construction.
2.5 Introduction to digital modeling and computation with Rhinoceros.
3. CONSTRUCTIVE GEOMETRY
3.1 The role of geometry in contemporary architecture. Analysis of case-studies in practice that reveal the formal, structural and performative implications (free-form, variability, adaptability)
3.2 Themes and problems of constructive geometry: planar, ruled, developable and double curved surfaces. 2D and 3D formal and spatial structures. Parametric components.
3.3 From conception to materialization: digital methods (top-down) for subdivision, rationalization, analysis, unfolding and geometric construction.
3.4 From component to design: digital methods (bottom-up) for a design approach based on the definition of parametric components.
1.1 Elements: definition and criteria for the classification of curves, surfaces and solids.
1.2 Geometric relations and transformations.
1.3 Invariants and geometries.
2. GEOMETRIC MODELING AND COMPUTATION
2.1 Geometry and the computer: the implications of a new tool and media.
2.2 Digital representation (CAD): Surface modeling vs. solid modeling. Explicit modeling, parametric modeling, generative and evolutionary computation.
2.3 Digital engineering (CAE): The finite element analysis (FEA), computational fluid dynamics (CFD), environmental analysis.
2.4 Digital manufacturing (CAM): The computer numerical control (CNC). Additive, subtractive and formative fabrication technologies. Emergent robotic technologies for building construction.
2.5 Introduction to digital modeling and computation with Rhinoceros.
3. CONSTRUCTIVE GEOMETRY
3.1 The role of geometry in contemporary architecture. Analysis of case-studies in practice that reveal the formal, structural and performative implications (free-form, variability, adaptability)
3.2 Themes and problems of constructive geometry: planar, ruled, developable and double curved surfaces. 2D and 3D formal and spatial structures. Parametric components.
3.3 From conception to materialization: digital methods (top-down) for subdivision, rationalization, analysis, unfolding and geometric construction.
3.4 From component to design: digital methods (bottom-up) for a design approach based on the definition of parametric components.
