
Course unit
FUNDAMENTALS OF DESCRIPTIVE GEOMETRY AND REPRESENTATION WITH HOUSING DESIGN STUDIO
INP9087458, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2019/20
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Basic courses 
ICAR/17 
Design 
9.0 
Core courses 
ICAR/14 
Architectural and Urban Composition 
3.0 
Course unit organization
Period 
Annual 
Year 
1st Year 
Teaching method 
frontal 
Type of hours 
Credits 
Teaching hours 
Hours of Individual study 
Shifts 
Laboratory 
3.0 
60 
15.0 
No turn 
Lecture 
9.0 
95 
130.0 
No turn 
Examination board
Examination board not defined
Prerequisites:

None 
Target skills and knowledge:

Main purpose of the course is the understanding of space as the element setting up architecture. The course aims to provide the fundamental knowledge, both theoretical and practical, concerning geometric drawing and, more generally, the representation discipline. The design laboratory introduces to the architectural design with the feedback of the representation lessons. 
Examination methods:

1) Drawing test in progress;
2) Final graphic test;
3) Digital 2D and 3D modeling;
4) Architectural design output. 
Assessment criteria:

Examination instructions.
The examination (allowed to those who have carried out at least 70% of the drawing exercises delivered during the academic year) consistes in 3 drawing testes:
Test 1: Exercises about homology and about the representation of fundamental entities in orthogonal projections;
Test 2: Section of a solid in orthogonal projections using a generic plan and its overturning;
Test 3: Axonometry (Cavaliera/oblique or Isometric/orthogonal  using homological transformations) of a remarkable geometric surface or of an architectural element (stairs, spiral staircase, helicoid, barrel vault, barrel vault with lunettes, cloister vault, cross vault, handkerchief vault, pendentives, sphere) assigned in orthogonal projections.
For each test will be assigned the following ratings:
Test 1: max 6 points
Test 2: max 9 points
Test 3: max 9 points
for a maximum of 24 points; this score is added to the vote given to the digital drawing of the assigned architecture and of the design exercitation (max 6 points), to be delivered, during the exam: such drawing  a dwg file saved in Autocad  version 2018  can be downloaded on the professor's pc).
The exam is passed if it reaches at least a score of 18/30.
Those who do not pass the exam or are not satisfied with score obtained, can repeat it during subsequent sessions. 
Course unit contents:

As we know, Architecture identifies itself with his own creation and construction, establishing with the Matter (that constitutes it) a relationship not only operational that satisfies the human need for "housing". Then purpose of "Architectural Drawing and Workshop" is to educate engineerarchitect students to a critical choice and a proper use of the geometrical methods of representation of the architecture, in order to express  on the plane of the drawing sheet or on the screen (it is flat too) of the computer  every spatial experience of more or less complex geometric configurations, archetypal, to some extent, of the project. 
Planned learning activities and teaching methods:

The course is structured with a series of lectures and practical exercises on the following topics:
1. Introduction to geometric representation and methods of representation.
2. Basics of elementary geometry (the definition of point, line, plane, space; coplanar lines definition: intesecting in a point, parallel, overlapping, skew; definition of a projection from a given point of a point on a plane; the projection of a point on a plane according to a given line; the orthogonal projection of a point on a plane; definition of overturning; definition of symmetrical shape).
3. Elements of projective geometry (definition of projection from a point and of section with a plane; the concept of projective space: the extension to infinite of the Euclidean space  point, line and plane ; definition of: parallel lines, parallel planes, sheaf of straight lines).
4. Homology definition, definition of center and axis of homology, the homology property, construction of a plane homology).
5. Homology special cases: affinity, homothety, translation. Homological transformations of geometric shapes.
6. Orthogonal projections: the reference system in space and plane; representation of point, line and plane, and special cases; parallelism and coplanarity. The third plane of projection. Intersections between planes, between lines, between straight line and plane.
7. Overturning of the projecting plane.
8. Overturning of a generic plan.
9. Section of solids with projecting and generic planes (section of the parallelepiped, section of the pyramid, section of the sphere)
10. Conic sections (ellipse, parabola, hyperbola). Conic sections in the method of Monge.
11. Axonometry (parallel projection): Introduction to axonometry, orthogonal and oblique axonometry: reference system in space and plane; orthogonal axonometry isometric, axonometry oblique Cavaliera.
12. Axonometry with homological transformation (flight of stairs, spiral staircase, helicoid, barrel vault, barrel vault with lunettes, cloister vault, hankerchief vault, pendentives, sphere).
13. Essential egulations for technical drawing: sheet formats; folding and titleblocks, line types, relations of scale, dimensions.
14. Introduction to architectural survey;
15. Digital drawing in AutoCAD: 2D drawing, layers, line types, display options, print options, UCS, 3D modeling, rendering.
The tests in progress and the drawings produced within the workshop that accompany lectures and exercises, are useful for monitoring of the learning obtained. 
Additional notes about suggested reading:

Bibliographical reference;
documents arranged by the professor for learning and carrying out of the topics. 
Textbooks (and optional supplementary readings) 

A. Sgrosso,, La rappresentazione geometrica dell'architettura. Torino: Utet cittÃ studi, 1998.

A. Giordano, G. D'Acunto, Descrivere lo spazio  Dalla genesi geometrica alla rappresentazione delle superfici. Padova: EDIZIONI LIBRERIA PROGETTO PADOVA, 2017.

A Giordano, Geometria e configurazione  Le chiese del centro storico di Padova. Padova: Cortina, 2012.

AA, VV, Idea, Segno, Progetto. Novara: De Agostini scuola, 2009.

R. Migliari, Geometria Descrittiva. Torino: CittÃ studi, 2010.

C. Cundari, Il Rilievo architettonico. Ragioni, Fondamenti, Applicazioni. Roma: Aracne, 2012.

Joseph Choma, Morphing: A Guide to Mathematical Transformations for Architects and Designers. : Laurence King Publishing, 2015.

Innovative teaching methods: Teaching and learning strategies
 Lecturing
 Laboratory
 Case study
 Working in group
 Problem solving
 Use of online videos
 Loading of files and pages (web pages, Moodle, ...)
 Portfolio
Innovative teaching methods: Software or applications used
 Moodle (files, quizzes, workshops, ...)
Sustainable Development Goals (SDGs)

