THE APPLICATION MODELS OF THE TOPOLOGICAL PRINCIPLE OF CONTINUOUS DEFORMATION IN THE ARCHITECTURAL DESIGN PROCESS

Maja Dragišić, Anđelka Bnin-Bninski

DOI Number
10.2298/FUACE161115035D
First page
453
Last page
464

Abstract


Architecture and geometry share mutual history, and their relationship precedes the introduction of digital and computer technologies in architectural theory and design. Geometry has always been directly related to the modalities of thinking in architecture through the problems of conceptualisation, representation, building, technology. Through the historical overview of these two disciplines, it is possible to perceive direct influences of geometry on the architectural creative concepts, formal characteristics of architectural works, structural aspects, and building methods in architecture. However, the focus of this work is not on the representation of historical intertwining of these two disciplines, which is indisputable, it's on the attempt to represent one specific bond between topology and architecture, firstly through the explanation of the principle of continuous deformability, and secondly through the representation of the models through which the principle occurs in the architectural design process, as well. The first part of this work will introduce and analyse the transition of concepts of continuity and deformability, from mathematical topology through philosophy to architecture, while the second part of the work will explain two models in detail, formal and systematic, through which the principle of continuous deformation is applied in certain architectural design practices. Overall, this work deals with the interpretation of the principle of continuous deformation in architecture and it shows in which way the architectural discourse changes the meaning of a mathematical-philosophical notion and turns it into a design methodology of its own. The subtlety of the question Bernard Tschumi asks about space illustrates the need to thoroughly investigate interdisciplinary relation between architecture, philosophy, and mathematics: “Is topology a mental construction toward a theory of space?” (Tschumi, 2004, p.49)

Keywords

architecture, topology, deformation, continuity, space theory

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References


B. Tschumi, Arhitektura i disjunkcija, AMG, Zagreb, 2004.

P.G.T., “Johann Benedict Listing”, Nautre no.27, 1883, pp. 316-317.

M. Kline, Mathematical Thought from Ancient to Modern Times, Vol. 1, Oxford University Press, New York, 1972.

R. Živaljević, "Topologija-Razumevanje prostora", lecture held on 18.02.2010. as a part of the lecture seried „Mathematical Theory of Space“ in Kolarac Foundation.

J.M. Kantor, “A Tale of Bridges: Topology and Architecture”, Nexus Network Journal, vol. 7, no. 2, 2005.

M. Božić, Pregled istorije i filozofije matematike, Zavod za udžbenike, Beograd, 2010.

L. Euler, “The Seven Bridges of Königsberg”, The World of Mathematics, Vol. 1, James Newman, ed., Simon and Schuster, New York, 1956, pp. 573-580.

G. Di Christina, “Topological Tendency in Architecture“, Architectural Design: Architecture and Science, Giuseppa Di Christina, ed., Wiley-Academy, London, 2001, pp.6-13.

S. Hagan, Taking Shape: A New Contract Between Architecture and Nature, Architectural Press, Oxford, 2001.

A. Plotnitsky, “Algebras, geometries, and topologies of the fold: Deleuze, Derrida, and quasi-mathematical thinking (with Leibniz and Mallarmé)“, Between Deleuze and Derrida, P. Patton & J. Protevi, ed., Continuum, London, New York, 2003, pp.98-119.

G. Deleuze, The Fold: Leibniz and Baroque, The Athlone Press, London, 1993.

J. Rajchman, Constructions, MIT Press, Cambridge, 1998.

R. Oxmam, “Theory and design in the first digital age”, Designe Studies, Vol.27, Issue 3, Elsevier Ltd., London, 2006, pp. 229-265.

G. Lynn, Folds, Bodies and Blobs, collected essays, La Lettre volée, Belgique, 1998.

M. Carpo, The Alphabet and The Algorithm, MIT Press, Cambridge, 2011.

B. Kolarević, “Digital Architecture”, ACADIA: Eternity, Infinity and Virtuality in Architecture, 2000, pp.251-256.

M. Emmer, Mathland: From Flatland to Hypersurfaces, Birkhäuser, Basel, 2004.

K. Terzidis, Expressive Form, a conceptual approach to computational design, Spon Press, Cambridge, 2003.

A. Picon, “Architecture and Mathematics: Between Hubris and Restraint”, AD: Mathematics of Space, G.L. Legendre, ed., Wiley-Academy, London, 2011, pp.28-35.

G. Lynn, “Architectural curvilinearity”, Architectural Design: Folding in architecture, G. Lynn, ed., Vol. 102, Wiley-Academy, London, 2004, pp.22-29.

P. Eisenman, “Alteka Office Building”, Architectural Design: Folding in architecture, G. Lynn, ed., Vol. 102, Wiley-Academy, London, 2004, pp.44-45.

C. Robinson, “The Material Fold: Towards a Variable Narrative of Anomalous Topologies”, AD: Folding in Architecture, G. Lynn, ed., Vol. 102, Wiley-Academy, London, 2004, pp.80-81.

B. Kolarević, Architecture in the digital age: design and manufecturing, Spon Press, New York/London, 2003.

B. van Berkel, and C. Bos, Move: Imagination, UN Studio & Goose Press, Amsterdam, 1999.

P. Eisenman, Diagram Diaries, Thames and Hudson, London, 1999.

B. van Berkel, and C. Bos, “Digital conversation”, UN Studio: UN Fold, NAi Publichers, Rotterdam, 2002, pp.14-21.

J. Kipnis, “Towards New Architecture”, AD: Folding in architecture, G. Lynn, ed., Vol.102, Wiley-Academy, London, 2004, pp.56-65.

Dj. Stojanovic, Adaptive principles in architectural design, Doctoral Dissertation, Architectural Faculty, University of Belgrade, 2013.

P. Zellner, Hybrid Space: New Forms in Digital Architecture, Thames&Hudson Ltd, London, 1999.

M. Hensel, and A. Menges, Towards an Inclusive Discourse on Heterogeneous Architectures, Morpho-ecologies, AD primers, Wiley Academy, London, 2013.

A. Imperiale, New Bidimensionalities, Birkhäuser, Basel, 2000.

M. De Landa, Intensive science and virtual philosophy, Continuum Books, London, 2002.


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