Geometry and Architecture

Description

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. 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. 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. 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. Assessment/evaluation: designation Weight (%) Participação presencial 10,00 Teste 30,00 Trabalho laboratorial 20,00 Trabalho prático ou de projeto 40,00 Total: 100,00 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 participation in class, tests, practical assignments, and group work. The final mark will reflect the average of the class participation (10%), tests (30%), the exercises done in practical classes (30%), and group work (20%). 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 (30% of the final mark). SIGARRA mobility teaching-language note: Portuguese. Incoming mobility students choose course units through SIGARRA and a Learning Agreement. U.Porto states that one ECTS credit corresponds to 27 hours of total student work, the standard load is 30 ECTS per semester or 60 ECTS per academic year, students are strongly advised to register for at least 20 ECTS per semester, and enrolment is subject to timetable compatibility, prerequisites, vacancies, and later programme changes.