Identifying Chaotic Architecture: Origins of Nonlinear Design Theory

Authors: Mohammadsadegh Zanganehfar

Abstract:

Through the emergence of modern architecture, an aggressive desire for new design theories appeared through the works of architects and critics. The discourse of complexity and volumetric composition happened to be an important and controversial issue in the discipline of architecture which was discussed through a general point of view in Robert Venturi and Denise Scott Brown's book “Complexity and contradiction in architecture” in 1966, this paper attempts to identify chaos theory as a scientific model of complexity and its relation to architecture design theory by conducting a qualitative analysis and multidisciplinary critical approach through architecture and basic sciences resources. Accordingly, we identify chaotic architecture as the correlation between chaos theory and the discipline of architecture, and as an independent nonlinear design theory with specific characteristics and properties.

Keywords: Architecture complexity, chaos theory, fractals, nonlinear dynamic systems, nonlinear ontology.

References:

[1] G. Lynn, “Folding in architecture,” Acad. Ed. Ltd., vol. 102, 1993.
[2] M. B. Brilliant, Theory of the Analysis of Nonlinear Systems Technical Report 345. 1958.
[3] Y. Joye, “An interdisciplinary argument for natural morphologies in architectural design. An interdisciplinary argument for natural morphologies in architectural design,” no. August, 2006, doi: 10.1068/b31194.
[4] P. H. Kahn, R. L. Severson, and J. H. Ruckert, “The Human Relation with Nature and Technological Nature,” Univ. Washingt., vol. 18, no. 1, pp. 37–42, 2009.
[5] J. Simpson and E. Weiner, Oxford English Dictionary. Oxford University Press, 1989.
[6] T. H. Pulliam, “An introduction to chaos theory in CFD,” AIAA 21st Fluid Dyn. Plasma Dyn. Lasers Conf. 1990, no. November, pp. 1–6, 2016.
[7] I. Stewart, Does God Play Dice? United Kingdom: Wiley-Blackwell, 1989.
[8] E. Ghys, “The Lorenz Attractor, a Paradigm for Chaos,” in The Lorenz Attractor, a Paradigm for Chaos, 2013, pp. 1–54, (Online). Available: http://perso.ens-lyon.fr/ghys/articles/lorenzparadigm-english.pdf.
[9] C. Oestreicher, “Basic research,” pp. 279–289, 2007.
[10] M. Wilkinson, “Nonlinear dynamics, chaos-theory, and the” sciences of complexity”: their relevance to the study of the interaction between host and microflora,” Old Herborn Univ. Semin. Monogr., no. 1984, pp. 111–130, 1997, (Online). Available: http://www.cs.rug.nl/~michael/nonlin96.pdf.
[11] N. De Nitti, “181. Nonlinear Dynamics and Chaos: An Introduction,” pp. 19–24, 2013.
[12] Garnett P. Williams, Chaos Theory Tamed. Washington, D.C.: Joseph Henry Press, 1999.
[13] J. C. Sprott, “Strange Attractors: Creating Patterns in Chaos by Julien C. Sprott,” no. January 2000, 2014, doi: 10.1119/1.17885.
[14] J. P. Mentor and N. S. Manko, “Fractal Structures,” no. December, 2012.
[15] G. A. Losa, “The fractal geometry of life,” Riv. di Biol. - Biol. Forum, vol. 102, no. 1, pp. 29–60, 2009, doi: 10.1400/115086.
[16] D. S. Heinz-Otto Peitgen, Hartmut Jürgens, Chaos and Fractals; New Frontiers of Science, Second edi. New york: Springer Science + Business Media, 2004.
[17] J. L. Kitchley, “Fractals in Architecture,” Archit. Des., vol. May-June 2, no. January, pp. 42–48, 2003.
[18] M. Y. Shishin and K. J. Aldeen Ismail, “A method of compositional fractal analysis and its application in Islamic architectural ensembles,” Math. Educ., vol. 11, no. 5, pp. 1087–1100, 2016.
[19] X. Lu, D. Clements-Croome, and M. Viljanen, “Fractal geometry and architecture design: Case study review,” CHAOS 2011 - 4th Chaotic Model. Simul. Int. Conf. Proc., no. June 2011, pp. 255–268, 2019.
[20] S. Eftekharzadeh, From Chaos of Perception to Cognition of Architecture. Tehran: Simaye Danesh, 2013.
[21] N. S. Ramzy, “The Dual Language of Geometry in Gothic Architecture: The Symbolic Message of Euclidian Geometry versus the Visual Dialogue of Fractal” vol. 5, no. 2, pp. 135–172, 2015.
[22] N. Sala, “Complexity in architecture: a small scale analysis,” Des. Nat., 2004, (Online). Available: www.witpress.com.
[23] Albert Samper, Blas Herrera, “The Fractal Pattern of the French Gothic Cathedrals,” Nexus Netw. J., p. 43007, 2014, doi: 10.1007/s00004-014-0187-7.
[24] A. Osama, L. Sherif, and S. Ezzeldin, “Fractal geometry in architecture: From formative idea to superficial skin design,” vol. 1, pp. 39–49, 2004.
[25] W. E. Lorenz and T. U. Wien, “Fractals and Fractal Architecture,” no. February, 2016, doi: 10.13140/2.1.3850.9606.
[26] A. Belma, “Fractals and Fractal Design in Architecture,” in International Conference “Standardization, Protypes and Quality: A Means of Balkan Countries’ Collaboration, 2016, pp. 282–291.
[27] S.Mirmoradi, “Rec Recognition of the role of nature in the formation of fractal architecture,” Organ. Technol. Manag. Constr. an Int. J., vol. 9, no. 1, pp.,1583–15742017
[28] P. A. Longley, M. Batty, and A. S. Fotheringham, “The geometry of urban form and the fractal nature of urban growth: presentation notes,” no. July 2014.
[29] M. Batty and A. Fotheringham, “Urban Growth and Form: Scaling, Fractal Geometry, and Diffusion-Limited Aggregation Urban growth and form: scaling, fractal geometry, and diffusion-limited aggregation,” no. November, 1989, doi: 10.1068/a211447.
[30] M. Batty, Cities as Complex Systems: Scaling, Interaction, Networks, Dynamics and Urban Morphologies, no. 131. 2012.
[31] A. Rahimi, “Kandovan Rocky Village,” 2015. https://www.irandestination.com/kandovan-village/.
[32] N. Hashemi, “Borujedi’s House of Kashan, Symbol of Love in Qajar Era,” 2021. https://www.alibaba.ir/mag/borijerdiha-house-in-kashan/.
[33] J. Craven, “The Amazing Architecture of Spain’s Alhambra,” 2018. https://www.thoughtco.com/the-alhambra-4138628.