Geometry 2.2

Presentation

UC Geometry 2.2. following its antecedent 2.1., considering more sophisticated and synthetic methods, continues its commitment to the practice of graphical representation of space and objects in perspective, in the context of architecture. By providing students with theoretical and practical knowledge in understanding and representing space in perspective, it functions as a grammar of drawing, establishing a bridge with the needs of representation in architectural design. In its rigorous operative logic-deductive, it develops a specific practice on the one hand, and on the other hand, it provides fundamental scientific knowledge in the practice of drawing as an intellectual activity at the service of free creative representation, but mainly in formal and conceptual  investigation of space in the act of designing in architecture.

Programme

Architecture

Level of Qualification|Semesters|ECTS

| Semestral | 2

Year | Type of course unit | Language

2 |Mandatory |Português

Code

ULP286-14458

Recommended complementary curricular units

The syllabus contents of the UC of Geometry 2.2 complements it selft  in the application practices booth from the UC of Drawing and the UC of Project. Secondly, it is complementary in both History and Theory, as it provides knowledge for the critical reading of representation in architecture and art in general.

Professional Internship

Não

Syllabus

• 1. The Linear Perspective

The Conic projection

• 1.1. Converging Points Méthod

Vanishing Point; Homologies; Vanishing Line

• 2. Linear Perspective with sloping picture plane
• 3. Shadows I

Shadows in Linear Perspective; Shadows as parallel projective system; Spherical coordinates ,source light at the infinite  (sun); Intersections - Application

• 4. Space Transformations
• 4.1. Reflections

General theory of reflection in plane mirrors; perpendicularity

• 4.2. Accelerated perspective and counter-perspective.

Ames Room

Objectives

Develop logical-deductive and spatial abstraction capabilities.

Autonomously control the projective systems of rigorous representation.

Understand Linear Perspective as a representation tool mediated by the mechanisms of optics, perception and a set of technical principles.

Develop the awareness of the observer and the idea of place both for the critical reading and the representation of space by Linear Perspective.

Acquire autonomy in the domain of analysis tools and graphic representation.

Know how to identify the fundamental elements of the Linear Perspective.

Knowing how to identify the fundamental elements of Conical Projection present in the technical manifestations in image culture: Photography, Cinema, Advertising, 3D software, video games¿

To efficiently master the representation processes of the various construction processes of the Perspective and articulate them in the most efficient way in the process of investigation, representation of space and designing architecture.

Teaching methodologies and assessment

The methodologies of this UC are the direct, expository and demonstrative method, the practical laboratory method and the tutorial project methodology.

The evaluation is continuous without final exam, requiring a minimum frequency of 75%.

Assessment is distributed between performance in class and complementary work.

Class performance results from daily assessment at the end of each class. Complementary work is an individual project where each student independently explores problems and solutions. This work, with regular and mandatory follow-up, is delivered at the end of the semester.

The final grade will be the weighted average of the exercises performed in class (60%) + complementary work (40%). From these 40%, 35% are used for regularity. In cases of exception in which the student complies with attendance and / or does not reach the minimum objectives in the continuous assessment, he / she can apply for the appeal exam.
 
 

References

Izquierdo, Asensi Fernando (2011) Geometría Descriptiva I (Sistemas e Perspectivas), Madrid, Izquierdo editores.

Xavier, João Pedro (1997). Perspectiva, perspectiva acelerada e contraperspectiva, Porto, FAUP.

Ricca , Guilherme (2006). Método de Monge (3ª ed), Lisboa Fundação Calouste Gulbenkian.

Panofsky, Erwin (1999). A perspectiva como forma simbólica, Lisboa: Edições 70.

Thomae, Reiner  (1979). Perspetiva y Axonometria

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