Risorse bibliografiche
 Risorsa bibliografica obbligatoria Risorsa bibliografica facoltativa
 Scheda Riassuntiva
 Anno Accademico 2017/2018 Scuola Scuola di Architettura Urbanistica Ingegneria delle Costruzioni Insegnamento 099899 - APPLIED MATHEMATICS FOR ARCHITECTURE Docente Vianello Maurizio Stefano Cfu 4.00 Tipo insegnamento Monodisciplinare

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Nome Sezione Insegnamento
Arc - Urb - Cost (Mag.)(ord. 270) - MI (1017) ARCHITETTURA - ARCHITETTURA DELLE COSTRUZIONI***AZZZZ099899 - APPLIED MATHEMATICS FOR ARCHITECTURE
Arc - Urb - Cost (Mag.)(ord. 270) - MI (1018) ARCHITETTURA - PROGETTAZIONE ARCHITETTONICA***AZZZZ099899 - APPLIED MATHEMATICS FOR ARCHITECTURE
Arc - Urb - Cost (Mag.)(ord. 270) - MI (1136) ARCHITETTURA***AZZZZ099899 - APPLIED MATHEMATICS FOR ARCHITECTURE

 Programma dettagliato e risultati di apprendimento attesi
 The aim of this Course is to provide the students with concepts which are needed for a knowledgeble use of tools of Computational Design, which are more and more relevant in the field of Architecure. Such tools need knowledge and understanding of mathematical concepts which go beyond what is traditionally taught in the basic courses of Architectural Schools. In particular, mathematical tools for descriptive and computational modelling of surfaces will be introduced, together with elementary and introductory ideas associated with mechanical properties of membranes. Ideas and properties of minimal surfaces and their use in some contemporary projects will be investigated. Moreover, tasseletions of the plane will be introduced, with their applications in arts and architecture, and their classification through the notion of "symmetry group". Students will be invited to search for appropriate examples among the monuments and builidings in the Milan region. The idea of "fractality" is of some importance, together with the related notion of "L-systems", for some comtemporary applications. The approach of the course will not be strictly mathematical and, in view of this, some software tools typical of modern Architectural Design will be used. Main Topics: Curves. Curvature. Bezier Curves. Torsion and curvature. Mean and total curvature of a surface and their properties. Algorithms for the creation of parametric curves and surfaces. Freeform Surfaces. NURBS. Mechanics of membranes and minimal surfaces. Fractal sets and L-systems. Deformations and Algorithmic manipulation of curves and surfaces. Examples and applications of the modelling software "Grasshopper"

 Note Sulla Modalità di valutazione
 Evaluation and grading will be based on a project of mathematics applied to Computational Design and Architecture.

 Bibliografia
 Pottmann, Asperl, Hofer, Kilian, Architectural Geometry, Editore: Bentley Institute Press, Anno edizione: 2007 http://www.rhino3d.com/it/download/Rhino/5.0/EssentialMathematicsThirdEdition Altre indicazioni bibliografiche e materiale su Beep.

 Mix Forme Didattiche
Tipo Forma Didattica Ore didattiche
lezione
30.0
esercitazione
20.0
laboratorio informatico
0.0
laboratorio sperimentale
0.0
progetto
0.0
laboratorio di progetto
0.0

 Informazioni in lingua inglese a supporto dell'internazionalizzazione
 Insegnamento erogato in lingua Inglese Disponibilità di libri di testo/bibliografia in lingua inglese Possibilità di sostenere l'esame in lingua inglese Disponibilità di supporto didattico in lingua inglese
 schedaincarico v. 1.6.5 / 1.6.5 Area Servizi ICT 03/12/2020