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Class Geometry 2.2

  • Presentation

    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.
  • Code

    Code

    ULP286-14458
  • Syllabus

    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

    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

    Teaching methodologies and assessment

    Scientific Coordination of ARQ content, Drawing and Image Archive and applied use in the demonstrative context in the classroom.
  • References

    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. Kemp, Martin (1990). The Science of Art: Optical Themes in Western Art from Brunelleschi to Seurat, Yale, University Press. Thomae, Reiner (1979). Perspetiva y Axonometria. Bartrina, Llu'is Villanueva (2001). Perspectiva Lineal, Su construcción y su relación con la fotografía. Barcelona, Edicions UPC Cabezas, Lino; Ortega, Luis F (2001) Análises Gráfico y Representación Geométrica, Barcelona, Publicaciones de la Universitat de Barcelona Ricca , Guilherme (2006). Método de Monge (3ª ed), Lisboa Fundação Calouste Gulbenkian. Panofsky, Erwin (1999). A perspectiva como forma simbólica, Lisboa: Edições 70.
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