Contents

1. Architecture and morphogenesis (New paradigms of architecture and urbanism; Geometry as an operational scale for structuring forms and spaces; the integration between geometry-materials-performance; the cutting and assembly of materials and constructive components)

2. Geometric structures

   1. Definitions, classification criteria, systematization and technical-functional applications in architecture and urban planning

   2. From the computational representation of geometric surfaces through their defining elements (Polyhedrons, Plannable ruled surfaces, warped surfaces, surfaces of revolution, Non-ruled surfaces, NURBS surfaces)

   3. Geometric transformations (Multiple intersections and multiple concordances, Euclidean, scale, affine and projective, topological transformations)

3. Parametric modeling and notion of formal system (Visual programming: Grasshopper interface for Rhinoceros; symbolic expressions, control structures, cyclic functions, data structures)

4. General notions about digital manufacturing (additive methods, subtractive methods, cutting methods).