First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
Course unit
INP6075300, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course 5 years single cycle degree in
IN0533, Degree course structure A.Y. 2010/11, A.Y. 2017/18
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Number of ECTS credits allocated 12.0
Type of assessment Mark
Department of reference Department of Civil, Environmental and Architectural Engineering
Mandatory attendance
Language of instruction Italian
Single Course unit The Course unit CANNOT be attended under the option Single Course unit attendance
Optional Course unit The Course unit CANNOT be chosen as Optional Course unit

Teacher in charge ANDREA GIORDANO ICAR/17
Other lecturers EDOARDO NARNE ICAR/14

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Basic courses ICAR/17 Design 9.0
Core courses ICAR/14 Architectural and Urban Composition 3.0

Mode of delivery (when and how)
Period Annual
Year 1st Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
Hours of
Individual study
Laboratory 3.0 60 15.0 No turn
Lecture 9.0 95 130.0 No turn

Start of activities 02/10/2017
End of activities 15/06/2018

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
Examination methods: 1) Drawing test in progress;
2) Final graphic test;
3) Digital 2D and 3D modeling.
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 (max 6 points) of the assigned architecture, to be delivered, during the exam: such drawing - a dwg file saved in Autocad - 2004 version 2004 - 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 engineer-architect 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 città studi, 1998. Cerca nel catalogo
  • A. Giordano, Cupole volte ed altre superfici - La genesi e la forma. Torino: utet, 1999. Cerca nel catalogo
  • A Giordano, Geometria e configurazione - Le chiese del centro storico di Padova. Padova: Cortina, 2012. Cerca nel catalogo
  • AA, VV, Idea, Segno, Progetto. Novara: De Agostini scuola, 2009. Cerca nel catalogo
  • R. Migliari, Geometria Descrittiva. Torino: Città studi, 2010. Cerca nel catalogo
  • C. Cundari, Il Rilievo architettonico. Ragioni, Fondamenti, Applicazioni. Roma: Aracne, 2012. Cerca nel catalogo
  • Joseph Choma, Morphing: A Guide to Mathematical Transformations for Architects and Designers. --: Laurence King Publishing, 2015. Cerca nel catalogo