Geometry and Architecture

Code:

100106

Acronym:

100106

Keywords
Classification	Keyword
OFICIAL	Drawing
CNAEF	Architecture and construction

Instance: 2019/2020 - A

Active?	Yes
Responsible unit:	Desenho (D)
Course/CS Responsible:	Integrated Master Degree in Architecture

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIARQ	172	MIARQ	1	-	9	-	243

Teaching language

Portuguese

Objectives

To know the different systems of representation, their properties and specificities, as a means for the reading, construction and representation of space, from the territory to the architectonic object.

Be able to use 3D modeling tools for the same purpose.

Learning outcomes and competences

To develop the spatial and geometric reasoning.

To apply the constructive processes of representation.

To represent, through projection, real or imagined forms.

To construct 3D digital models of real or imagined forms.

To use, expressively and intentionally, the different kinds of representation.

To promote creativity and the ability to solve problems.

 

Working method

Presencial

Program

SYSTEMS OF REPRESENTATION

Projection as a geoemtric transformation.

Introduction to the different systems of representation.

Ortographic representation and axonometric representation of 3D composed forms and architectural objects.

AXONOMETRY

The parallel projection as an affine transformation.

Definition and characterization of axonometry. Construction methods.

Sections and translations.

Transparencies and color.

TOPOGRAPHICAL PROJECTIONS

Introduction to topography. Topographical projections.

Applications and specificity of the topographic projection system. Solving roofs. Representation of topographical surfaces.

PERSPECTIVE

The central projection as a homological transformation. 

Definition and characterization of perspective. Construction methods.

Vantage point choice and the perception of space.

Accelerated perspective and counter-perspective. Anamorphoses. 

The position of the light source and the layout of shadow. 

3D MODELING

The polihedral symmetry. The geodesic domes and the sphere.

Polyhedral aggregates. Regular tesselations of the plane and the space.

Curves and surfaces.

Mandatory literature

Aubert Jean; Axonométrie. ISBN: 2-903539-38-3
Calter Paul A.; Squaring the circle
Centre Georges Pompidou 340; Cartes et figures de la terra. ISBN: 2-85850-058-4
Izquierdo Asensi Fernando; Geometría descriptiva superior y aplicada. ISBN: 84922109-0-7
Izquierdo Asensi Fernando; Geometría Descriptiva
Kappraff Jay; Connections. ISBN: 981-02-4585-8
Katz Victor J.; A history of mathematics. ISBN: 0-321-01618-1
Migliari Riccardo; Geometria descrittiva. ISBN: 978-88-251-7329-1
Nannoni Dante; Geometria prospectiva progetto. ISBN: 88-379-0816-4
Pearce Peter; Structure in nature is a strategy for design. ISBN: 0-262-16064-1
Pottmann Helmut 340; Architectural geometry. ISBN: 978-1-934493-04-5
Sánchez Gallego Juan Antonio; Geometria descriptiva. ISBN: 84-7653-290-3
Veloso Eduardo; Geometria. ISBN: 973-8353-26-X
Bartrina Villanueva Lluís; Perspectiva lineal. ISBN: 84-89636-12-5
Xavier João Pedro; Perspectiva, perspectiva acelerada e contraperspectiva. ISBN: 972-9483-25-6
Wright Lawrence; Tratado de perspectiva. ISBN: 84-7616-003-8

Teaching methods and learning activities

The Syllabus will be delivered in both theory and practical classes.

Theory classes, of 1,5 hours weekly, are aimed at presenting the course content and, as far as the theoretical bases and examples are concerned, at making known and supporting the exercises to be developed in practical classes, which are of 2 hours duration weekly.

Practical exercises are aimed at:
a) the development of the imagination of the ability of perception and synthesis;
b) the acquisition of a symbolic language;
c) the use of the unifying concept of geometric transformations as a working method;
d) an emphasis on group work. 

The syllabus will be taught with particular concern for framing knowledge previously acquired by students and the possibility of the use of new technologies for conception and design.

Software

GeoGebra
Rhinoceros

keywords

Humanities > Arts > Fine arts > Drawing
Physical sciences > Mathematics > Geometry

Evaluation Type

Distributed evaluation with final exam

Assessment Components

designation	Weight (%)
Participação presencial	10,00
Teste	40,00
Trabalho escrito	30,00
Trabalho laboratorial	20,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Frequência das aulas	243,00
Total:	243,00

Eligibility for exams

To get approval is necessary to attend at least 75% of the practical classes and have a minimum grade of 9,5 as the average classification of the participation in class, tests, practical assignments and group work.

Calculation formula of final grade

The final mark will reflect the average of the participation in class (10%), tests (40%), the exercises done in practical classes (30%) and group work (20%).

Classification improvement

It is possible to take the final exam, if the UC mark is equal or superior to 7,5 points, to improve the score achieved in the tests.  The exam is subdivided into two parts corresponding to the first and second tests, and the student can choose to do the first part corresponding do the first test (20% of the final mark), the second part corresponding to the second test (20% of the final mark), or both.

Observations

This is a 1st year course, therefore no prior courses are required.