Teachings

Select Academic Year:     2016/2017 2017/2018 2018/2019 2019/2020 2020/2021 2021/2022
Professor
GREGORIO FRANZONI (Tit.)
Period
First Semester 
Teaching style
Convenzionale 
Lingua Insegnamento
ITALIANO 



Informazioni aggiuntive

Course Curriculum CFU Length(h)
[60/65]  MATHEMATICS [65/40 - Ord. 2020]  MATEMATICA PURA 6 48
[60/65]  MATHEMATICS [65/50 - Ord. 2020]  MATEMATICA PER LA DIDATTICA E LA DIVULGAZIONE 6 48
[60/65]  MATHEMATICS [65/60 - Ord. 2020]  MATEMATICA APPLICATA 6 48

Prerequisites

- basic concepts of analytic geometry in 2 and 3 dimensions and of linear algebra: vector spaces, linear applications, matrices;
- basic concepts of topology;
- basic concepts of algebraic and parametrized curves and surfaces

Contents

Recall of plane curves, space curves, surfaces. Computer representation of curves, surfaces and other mathematical objects. Rapid prototyping and 3D printing: introduction; birth and evolution of different technologies; materials; application fields. 3D printing of mathematical objects. From the mathematical description of curves and surfaces to their polygonal/polyhedral models. Basic elements of computational geometry. Polyhedral representation of a surface. Thickening. Managing self intersections and singularities. Managing non-orientable objects. Checking and repairing solid models. 3D printing of sample objects.

Teaching Methods

Frontal lesson on the blackboard and multimedia presentations

Verification of learning

The exam consists in preparing a project in which the student designs and creates a model for a mathematical object or chosen from some of the teacher's proposals.

Texts

- R.Caddeo, A.Grey, Curve e superfici con Mathematica, Cuec.
- Introductory notes to the Rinoceros software provided by the teacher

More Information

The exam consists in preparing a project in which the student designs and creates a model for a mathematical object or chosen from some of the teacher's proposals.

Questionnaire and social

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