21010273 - GEOMETRIES AND PARAMETRICAL MODELS

Tools for understanding the geometric thought of the twentieth century and the new concepts of "space". The new needs of representation.

Canali

scheda docente | materiale didattico

Programma

Vectors, Vector functions of a real variable, Concept of curve; parametrizations, Curvature and torsion, Theory of curves (Frenet and applications), Elementary topology in Euclidean space, Vector functions of a vector variable, Fundamental forms (first and second), Theory of surfaces (Gaussian and mean curvature, shape operators), Description of architectural elements through the theory of curves and surfaces.

Testi Adottati

Martin M. M. LIPSCHUTZ, Schaum's Outline of Differential Geometry , McGraw Hill, 1969.

Modalità Frequenza

Students must attend at the least the 75% of lessons to be admitted to the final exam.

Modalità Valutazione

During the course, students are required to prepare a final paper, which will be presented and assessed at the end of the academic year. Intermediate submissions are also expected and will be evaluated throughout the year to support the progress of the work.

scheda docente | materiale didattico

Mutuazione: 21010273 GEOMETRIE E MODELLI PARAMETRICI in Architettura - Progettazione architettonica LM-4 R CANALE I BRISCESE FABIO

Programma

Vectors, Vector functions of a real variable, Concept of curve; parametrizations, Curvature and torsion, Theory of curves (Frenet and applications), Elementary topology in Euclidean space, Vector functions of a vector variable, Fundamental forms (first and second), Theory of surfaces (Gaussian and mean curvature, shape operators), Description of architectural elements through the theory of curves and surfaces.

Testi Adottati

Martin M. M. LIPSCHUTZ, Schaum's Outline of Differential Geometry , McGraw Hill, 1969.

Modalità Frequenza

Students must attend at the least the 75% of lessons to be admitted to the final exam.

Modalità Valutazione

During the course, students are required to prepare a final paper, which will be presented and assessed at the end of the academic year. Intermediate submissions are also expected and will be evaluated throughout the year to support the progress of the work.