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TransForm Workshop at IUAV Venezia by Cornelie Leopold, TU Kaiserslautern, Germany

Relief-perspective Models of Stirling’s Clore Gallery, ASC, TU Kaiserslautern (photos by B. Friese)

Geometric transformations enable to project and represent spatial object on a 2D-plane and to develop forms. In this seminar, transformations should be handled in space for architectural composition and space studies. The relationship between space and image, architectural spatial design und its perception will be the starting point of our studies. We will discuss examples, where affine or perspective transformations had been used for architectural design processes. The relief-perspective, first developed especially for theatre stage design, can be understood as the realization of perspective as a spatial transformation. The relationship between metric and perceived space, proportions and their perception, can be in this way a subject of discussion. The systematically work out of relief-perspective as a spatial transformation will be in our focus. We will have the chance to explore the interlacing of practice in art and architecture with mathematical theory in historical and current examples. The exploration of these examples forms the basis for own practical-creative realizations in projects in refer to the topic of geometric transformations in architecture. The perspective transformational approach will be evaluated with regard to experience the relation between vision and architectural concepts.

Relief-perspective models by L. Burmester (16)

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Seminar/Workshop for 10 – 15 students in English Language The workshop/seminar meetings will be on Thursday afternoon (15 – 17) at the following dates:

02 March 2017 Introduction of the topic with examples and suggestions of studies and experiments

09 March 2017 Reflections and experiments on the relation of space and image, projection and transformation - relationship between perception and geometries of space

16 March 2017 Reflections and experiments on the relationship between proportions and their perception

06 April 2017 Vision and transformed theatre stage designs, examples and concepts

13 April 2017 Relief-perspectives, examples and geometric concept

27 April 2017 Architectures oblique, examples and concepts

04 May 2017 Interim presentations of the project concepts in a workshop together with students from TU Kaiserslautern, Germany as guests

11 May 2017 Affine transformation as architectural design approach

18 May 2017 Perspective transformation as architectural design approach

25 May 2017 Final presentations in an international workshop - discussions, critics and evaluations with guests

Final achievements of the students: Presentation and seminar paper on a chosen topic including concept description, model and drawings of an own project combined with the studied topic, interim and final presentation of the project Expected outcomes: Seminar papers, 3D-models, drawings, images and physical models

Model photo and relief-perspective model of the upper galleries in the Yale Centre by L. I. Kahn, student project, A. Rehbein et al., All School Charrette, TU Kaiserslautern

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References: (1) Bruno Reichlin (1981). Reflections – Interrelations between Concept, Representation and Built Architecture.

Daidalos 1, pp.60-73

(2) Robin Evans: The Projective Cast. Architecture and Its Three Geometries. Cambridge, Massachusetts: The MIT Press, 1995. Introduction: Composition and Projection. XXVff. Perspective and Proportion, pp.251-271.

(3) William M. Ivans: A Study in Space Intuitions. Cambridge: Harvard University Press,1946.

(4) Ernst Mach: Space and Geometry. In the Light of Physiological, Psychological and Physical Inquiry. Chicago: The Open Court Publishing Company, 1906.

(5) James J. Gibson: The Perception of the Visual World. Boston: Houghton Mifflin, 1950

(6) Rudolf Wittkower: Architectural Principles in the Age of Humanism. London: The Warburg Institute, 1949.

(7) George L. Hersey: Architecture and Geometry in the Age of the Baroque. Chicago and London: The University of Chicago Press, 2000.

(8) Joseph Furttenbach: Mannhaffter Kunst-Spiegel. Augsburg: Schultes, 1663.

(9) Cornelie Leopold: Perspective Concepts. Exploring Seeing and Representation of Space. Journal for Geometry and Graphics, 18(2), 2014, pp.225-238.

(10) Cornelie Leopold: Points of View and their Interrelations with Space and Image. In: Vera Viana et al. (Eds.): Geometrias & Graphica 2015. Proceedings, Universidade Lusíada de Lisboa. Porto: Aproged, 2016, Volume 1, pp.365-373.

(11) Giuseppe Amoruso (ed.): Handbook of Research on Visual Computing and Emerging Geometrical Design Tools. Hershey: IGI Global, 2016.

(12) Johann Adam Breysig: Versuch einer Erläuterung der Reliefperspektive zugleich für Mahler eingerichtet. Magdeburg: Georg Christian Keil, 1798.

(13) Jean-Victor Poncelet: Traité des projectives des figures. Paris 1822. 2nd edition in 2 volumes. 1862, 1865.

(14) Noël-Germinal Poudra: Traité de perspective-relief. Paris, 1860.

(15) Rudolf Staudigl: Grundzüge der Reliefperspektive. Wien: Seidel & Sohn, 1868.

(16) Ludwig Burmester: Grundzüge der Reliefperspective nebst Anwendung zur Herstellung reliefperspectivischer Modelle. Leipzig: B. G. Teubner, 1883.

(17) Juan Caramuel de Lobkowitz: Architectura civil recta y obliqua. Vigevano 1678.

(18) Pamela Johnston (ed.): The function of the oblique. The architecture of Claude Parent and Paul Virilio 1963-1969. London: Architectural Association, 1996 (AA documents/Architectural Association; 3).

(19) Peter Eisenman: Eisenman Inside Out. 1963-1988 Selected Writings. New Haven London: Yale Univ. 2004, pp.144-151.

(20) Robin Evans, Mohsen Mostafavi: Translations from Drawing to Building and Other Essays. (AA Documents) MIT Press, 1997, pp.119-151.

(21) Preston Scott Cohen: Contested Symmetries and Other Predicaments in Architecture. New York: Princeton Architectural Press, 2001.

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Biographic Note: Cornelie Leopold studied Mathematics, Philosophy and German Philology at University of Stuttgart, Germany. She is academic director, head of the section Descriptive Geometry and Perspective in the Faculty of Architecture, Technical University of Kaiserslautern, Germany. She is member of the Editorial Board of the „Journal for Geometry and Graphics“ and of the Board Committee of the “International Society for Geometry and Graphics”, Vice-President of the ”Deutsche Gesellschaft für Geometrie und Grafik”. She participated with lectures and reviews in many international conferences. She had been guest lecturer in Krakow, Istanbul, Milano, Porto, Venice and Buenos Aires. Her research interests are: descriptive geometry, visualization of architecture, development of spatial visualization abilities, geometry and architectural design, structural thinking, philosophical background of architecture, geometry and representation. The research results had been published in conference papers, books and articles. Her book “Geometrische Grundlagen der Architekturdarstellung”, first appeared in 1999, was published 2015 in the 5th extended edition by Springer. www.architektur.uni-kl.de/geometrie www.uni-kl.de/AG-Leopold/dg/fachgebiet/Mitarbeiter_innen/leopold/index_en.html www.researchgate.net/profile/Cornelie_Leopold