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The Revolutionary, The Reactionary and The Revivalist: Architecture and Mathematics After 1500

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Architecture and Mathematics from Antiquity to the Future

Abstract

Three ways of thinking about the history of ideas—the revolutionary, the reactionary and the revivalist—are useful when examining connections and relationships between architecture and mathematics from the sixteenth century to the present, and projecting them into the future. Here the authors provide an overview of historical developments in the profession of architecture and the discipline of mathematics from 1500 to today, and introduce the 45 chapters that comprise the second volume of this present work.

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References

  • Ackerman, James S. 1974. Palladio. London: Penguin.

    Google Scholar 

  • ———. 1986. The Architecture of Michelangelo. Chicago: University of Chicago Press.

    Google Scholar 

  • ———. 1981. Prisms. Cambridge Massachusetts: MIT Press.

    Google Scholar 

  • ———. 1998. Critical Models, Interventions and Catchwords. Henry W. Pickford, trans. New York: Columbia University Press.

    Google Scholar 

  • ———. 2003. The Philosophy of Modern Music. Anne G. Mitchell and Wesley V. Blomster, trans. New York: Continuum.

    Google Scholar 

  • Andersen, Kirsti. 2007. The Geometry of an Art: The History of the Mathematical Theory of Perspective from Alberti to Monge. New York: Springer.

    MATH  Google Scholar 

  • Argan, Giulio Carlo. 1946. The Architecture of Brunelleschi and the Origins of Perspective Theory in the Fifteenth Century. Journal of the Warburg and Courtauld Institutes 9 (1946): 96–121.

    Article  Google Scholar 

  • Benzer, Matthias. 2011. The Sociology of Theodor Adorno. Cambridge: Cambridge University Press

    Book  Google Scholar 

  • Blake, Peter. 1974. Form Follows Fiasco: Why Modern Architecture Hasn’t Worked. Boston: Little Brown and Co.

    Google Scholar 

  • Brolin, Brent C. 1976. The Failure of Modern Architecture. London: Studio Vista.

    Google Scholar 

  • Ching, Francis D. K. 2007. Architecture: Form, Space, and Order. New York: John Wiley and Sons.

    Google Scholar 

  • Condivi, Ascanio. 2007. The Life of Michelangelo. Charles Holroyd, trans. London: Pallas Athene.

    Google Scholar 

  • Damisch, Hubert. 1995. The Origin of Perspective. John Goodman, trans. Cambridge, Massachusetts.: The MIT Press.

    Google Scholar 

  • Di Cristina, Giuseppa (ed.). 2001. Architecture and Science. London: Academy Press.

    Google Scholar 

  • Downes, Kerry. 1966. English Baroque Architecture. London: A. Zwemmer.

    Google Scholar 

  • Evans, Robin. 1995. The Projective Cast: Architecture and its Three Geometries. Cambridge, Massachusetts: MIT Press.

    Google Scholar 

  • ———. 1997. Translations from Drawing to Building and other Essays. Cambridge, Massachusetts: MIT Press.

    Google Scholar 

  • Frampton, Kenneth. 2007. Modern Architecture: A Critical History. London: Thames and Hudson.

    Google Scholar 

  • Foucault, Michel. 1972. The Archeology of Knowledge. A. M. Sheridan Smith, trans. New York: Pantheon Books.

    Google Scholar 

  • Giaconi, Giovanni and Kim Williams. 2003. The Villas of Palladio. New York: Princeton Architectural Press.

    Google Scholar 

  • Gibbon, Edward. 1996. The History of the Decline and Fall of the Roman Empire, 3 vols. London: Penguin Classics.

    Google Scholar 

  • Grave, Johannes. 2010. Brunelleschi’s Perspective Panels: Rupture and Continuity in the History of the Image. Pp. 161–180 in Renaissance Perceptions of Continuity and Discontinuity in Europe, c.1300 – c.1550. Alexander Lee, Pit Péporté and Harry Schnitker eds. Leiden: Brill.

    Google Scholar 

  • Harries, Kaarsten. 1997. The Ethical Function of Architecture. Cambridge Massachusetts: MIT Press.

    Google Scholar 

  • Harris, James. 2012. Fractal Architecture: Organic Design Philosophy in Theory and Practice. Albuquerque: University of New Mexico Press.

    Google Scholar 

  • Hempel, Eberhard. 1965. Baroque Art and Architecture in Central Europe: Germany, Austria, Switzerland, Hungary, Czechoslovakia, Poland. London: Penguin.

    Google Scholar 

  • Henderson, Linda Dalrymple. 1983. The Fourth Dimension and Non-Euclidean Geometry in Modern Art. Princeton: Princeton University Press.

    MATH  Google Scholar 

  • Henry, John. 2008. The Scientific Revolution and the Origins of Modern Science. New York: Palgrave Macmillan.

    Book  Google Scholar 

  • Herrmann, Wolfgang. 1973. The Theory of Claude Perrault. London: Anton Zwemmer.

    Google Scholar 

  • Hess, Alan. 2006. Frank Lloyd Wright Prairie Houses. New York: Rizzoli.

    Google Scholar 

  • Hubala, Erich. 1989. Baroque and Rococo. London: Herbert Press.

    Google Scholar 

  • Hyman, Isabelle. 2001. Marcel Breuer, Architect: The Career and the Buildings. New York: Harry N. Abrams.

    Google Scholar 

  • Jardine, Lisa. 2003. On a Grander Scale: The Outstanding Life of Sir Christopher Wren. New York: Harper Collins.

    Google Scholar 

  • Jencks, Charles. 1973. Modern Movements in Architecture. New York: Anchor Press.

    Google Scholar 

  • Kravtsov, Sergey R. 2005. Juan Bautista Villalpando and Sacred Architecture in the Seventeenth Century. Journal of the Society of Architectural Historians 3 (2005): 312–339.

    Article  Google Scholar 

  • Koning, H. and J. Eizenberg. 1981. The Language of the Prairie: Frank Lloyd Wright’s Prairie Houses. Environment and Planning B: Planning and Design 8 (1981): 295–323.

    Article  Google Scholar 

  • Kruft, Hanno-Walter. 1994. A History of Architectural Theory, from Vitruvius to the Present. New York: Princeton Architectural Press.

    Google Scholar 

  • Kubala, Thomas. 1990. Finding Sullivan’s Thread. Progressive Architecture 71, 10 (October 1990): 102–104.

    Google Scholar 

  • Kuban, Doğan. 1987. The Style of Sinan’s Domed Structures. Muqarnas 4 (1987), 72–97.

    Article  Google Scholar 

  • Kuhn, Thomas. 1962. The Structure of Scientific Revolutions. Chicago: University of Chicago Press.

    Google Scholar 

  • Latour, Bruno. 1987. Science in Action: How to Follow Scientists and Engineers through Society. Cambridge Massachusetts: Harvard University Press.

    Google Scholar 

  • Le Corbusier. 1927. Towards A New Architecture. London: Architectural Press Limited.

    Google Scholar 

  • Lind, C. 1994. Frank Lloyd Wright’s Prairie Houses. California: Archetype Press.

    Google Scholar 

  • Mandelbrot, Benoit B. 1977. Fractals: Form, Chance, and Dimension. San Francisco: W. H. Freeman and Company.

    MATH  Google Scholar 

  • March, Lionel. 1976. The Architecture of Form. Cambridge: Cambridge University Press

    Google Scholar 

  • ———. 1998. Architectonics of Humanism: Essays on Number in Architecture. London: Wiley.

    Google Scholar 

  • March, Lionel and Philip Steadman. 1974. The Geometry of Environment: An Introduction to Spatial Organization in Design. Cambridge, Massachusetts: MIT Press.

    Google Scholar 

  • Millon, Henry A. 1961. Baroque and Rococo Architecture. Studio Vista: London.

    Google Scholar 

  • Mitrovi ć, Branko. 1990. Palladio’s Theory of Proportions and the Second Book of I Quattro Libri dell’Architettura”, Journal of the Society of Architectural Historians, 49 (1990), 279–292.

    Google Scholar 

  • Morrison, Tessa. 2009. Juan Bautista Villalpando’s Ezechielem Explanationes: A Sixteenth Century Architectural Text. Lewiston: Edwin Mellen Press.

    Google Scholar 

  • Navaretti, Jeff and Jeff Turnbull (eds). 1998. The Griffins in Australia and India: The Complete Works and Projects of Walter Burley Griffin and Marion Mahony Griffin. Melbourne: Melbourne University Press.

    Google Scholar 

  • Necipoğlu, Gülru. 2005. The Age of Sinan: Architectural Culture in the Ottoman Empire. London: Reaktion Books.

    Google Scholar 

  • Norberg-Schulz, Christian. 1971. Baroque Architecture. New York: Harry N. Abrams.

    Google Scholar 

  • Ostwald, Michael J. 1999. Architectural Theory Formation Through Appropriation. Architectural Theory Review 4, 2 (1999): 52–70.

    Google Scholar 

  • ———. 2001. ‘Fractal Architecture’: Late Twentieth Century Connections Between Architecture and Fractal Geometry. Nexus Network Journal, Architecture and Mathematics 3, 1: 73–84.

    Google Scholar 

  • ———. 2003. Fractal Architecture: The Philosophical Implications of an Iterative Design Process. Communication and Cognition 36, 3 & 4 (2003): 263–295.

    Google Scholar 

  • ———. 2010. Ethics and the Auto-Generative Design Process. Building Research and Information. 38, 4 (2010): 390–400

    Google Scholar 

  • Panofsky, Erwin. 1996. Perspective as Symbolic Form. Christopher S. Wood, trans. New York: Zone Books.

    Google Scholar 

  • Pelletier, Louise. and Alberto Pérez-Gómez (eds). 1994. Architecture, Ethics and Technology. Montreal: Institut de Recherche En Histoire de L’Archit.

    Google Scholar 

  • Pérez-Gómez, Alberto. 1992. Architecture and the Crisis of Modern Science. Cambridge, Massachusetts: MIT Press.

    Google Scholar 

  • Popper, Karl. 2002. The Logic of Scientific Discovery. London: Routledge.

    MATH  Google Scholar 

  • Portoghesi, Paolo. 2000. Nature and Architecture. New York: Skira.

    Google Scholar 

  • Reid, Paul. 2002. Canberra Following Griffin: A Design History of Australia’s National Capital. Canberra: National Archives of Australia.

    Google Scholar 

  • Rowe, Colin. 1982. The Mathematics of the Ideal Villa and Other Essays. Cambridge Massachusetts: MIT Press.

    Google Scholar 

  • Shapin, Steven. 1998. The Scientific Revolution. Chicago: University of Chicago Press.

    Google Scholar 

  • Sharpe, Kevin. 1987. Criticism and Compliment: The Politics of Literature in the England of Charles I. Cambridge: Cambridge University Press.

    Google Scholar 

  • Shearman, John. 1991. Mannerism. London: Penguin.

    Google Scholar 

  • Steadman, Philip. 2008. The Evolution of Designs: Biological Analogy in Architecture and the Applied Arts. New York: Routledge.

    Google Scholar 

  • Stevenson, Christine. 2005. Robert Hooke, Monuments And Memory. Art History 28, 1 (2005): 43–73

    Google Scholar 

  • Stiny, George. 1980. Pictorial and Formal Aspects of Shape and Shape Grammars. Basel: Birkhäuser.

    Google Scholar 

  • ———. 2008. Shape: Talking about Seeing and Doing. Cambridge Massachusetts: MIT Press.

    Google Scholar 

  • Szalapaj, Peter. 2005. Contemporary Architecture and the Digital Design Process. Oxford: Architectural Press.

    Google Scholar 

  • Tavernor, Robert. 1991. Palladio and Palladianism. London: Thames and Hudson.

    Google Scholar 

  • Turchin, Peter. 2003. Historical Dynamics: Why States Rise and Fall. New Jersey: Princeton University Press.

    MATH  Google Scholar 

  • Walden, Russell. 2011. Triumphs of Change. Bern: Peter Lang.

    Google Scholar 

  • Watkin, David. 1977. Morality and Architecture. Oxford. Clarendon Press.

    Google Scholar 

  • Wittkower, Rudolph. 1971. Architectural Principles in the Age of Humanism. New York: W. W. Norton and Company.

    Google Scholar 

  • Wölfflin, Heinrich. 1964. Renaissance and Baroque. Kathryn Simon trans. Ithaca: Cornell University Press.

    Google Scholar 

  • Womersley, David. (ed.). 1994. Edward Gibbon’s The History of the Decline and Fall of the Roman Empire. 3 vols. (First published 1779). London: Allen Lane.

    Google Scholar 

  • Wright, Frank Lloyd. 1995. The Language of an Organic Architecture. Pp. 60–63 in Frank Lloyd Wright Collected Writings. Vol. 5, 1949–1949. (First Published 1953). Bruce Brooks Pfeiffer, ed. New York: Rizzoli.

    Google Scholar 

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Authors and Affiliations

  1. School of Architecture and Built Environment, University of Newcastle, Callaghan, NSW, 2308, Australia

    Michael J. Ostwald

  2. Kim Williams Books, Corso Regina Margherita, 72, 10153, Turin, (Torino), Italy

    Kim Williams

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  1. Michael J. Ostwald
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  2. Kim Williams
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Correspondence to Michael J. Ostwald .

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Editors and Affiliations

  1. Kim Williams Books, Torino, Italy

    Kim Williams

  2. School of Architecture and Built Environment, The University of Newcastle, Callaghan, New South Wales, Australia

    Michael J. Ostwald

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Ostwald, M.J., Williams, K. (2015). The Revolutionary, The Reactionary and The Revivalist: Architecture and Mathematics After 1500. In: Williams, K., Ostwald, M. (eds) Architecture and Mathematics from Antiquity to the Future. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-00143-2_1

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