Underlying Principles and Emerging Designs: Design Exercises Based on Magic Squares

  • Jin-Ho Park
Part of the KAIST Research Series book series (KAISTRS)


This article discusses how a simple and efficient design principle may be used to create a large collection of hybrid designs. Applying such principle in creating assembled arrays of designs can generate visually elusive final designs. This paper has three tasks. First, it examines the influence of the fundamental principle on the creation of new designs. Some notions and approaches of designers and architects are also reviewed. Second, this paper examines the basic properties of magic squares and employs its principles in the analysis and synthesis of designs. Third, this paper applies the principles of magic squares in creating new designs. Some examples of designs are also presented in this paper.


Magic sqaure Principle Grid Geometric pattern Parametric design 


  1. 1.
    Konig, H., & Eizenberg, J. (1981). The language of the Prairie: Frank Lloyd Wright’s Prairie Houses. Environment and Planning B: Planning and Design, 8(3), 295–323.CrossRefGoogle Scholar
  2. 2.
    Park, J. (2004). Symmetry and subsymmetry as characteristics of form-making: The schindler shelter project of 1933-42. Journal of Architectural and Planning Research, 21(1), 24–37.Google Scholar
  3. 3.
    Goethe, J.W. von (1946). Versuch die Meamophose der Pflanzen zu Erklaren (Gotha) 1790. (A. Arber, Trans.) Chronica Botanica 10(2), 63–126.Google Scholar
  4. 4.
    Hermann, W. (1989). Gottfried Semper: In search of architecture. Cambridge, MA: The MIT Press.Google Scholar
  5. 5.
    Sullivan, L. (1990). A system of architectural ornament. New York: Rizzoli.Google Scholar
  6. 6.
    Brownlee, D., & De Long, D. (1991). Louis I. Kahn: In the Realm of Architecture. New York: Rizzoli.Google Scholar
  7. 7.
    Hoek, E. (Ed.). (2000). Theo van Doesburg: Oeuvre Catalogue. Utrecht: Central Museum Utrecht.Google Scholar
  8. 8.
    Mourlot, F. (1970). Picasso lithographs. Boston Book and Art Pub.Google Scholar
  9. 9.
    Alexander, A. (1977). A pattern language: Towns, buildings, construction. Cambridge: Oxford University Press.Google Scholar
  10. 10.
    March, L., & Steadman, P. (1971). The geometry of environment. London: RIBA Publications Limited.Google Scholar
  11. 11.
    Stiny, G. (1980). Introduction to shape and shape grammars. Environment and Planning B: Planning and Design, 7(3), 343–351.CrossRefGoogle Scholar
  12. 12.
    Park, J. (2003). Book review on Preston Scott Cohen’s contested symmetries and other predicaments in architecture. Nexus Network Journal, 5(1), 157–160.CrossRefGoogle Scholar
  13. 13.
    Schinz, A. (1996). The magic square: Cities in ancient China. Stuttgart: Edition Axel Menges.Google Scholar
  14. 14.
    Panofsky, E. (1971). The life and art of Albrecht Durer. Princeton: Princeton University Press.Google Scholar
  15. 15.
    Bragdon, C. (1917). Pattern from magic squares. The Architectural Forum, 26, 71–76.Google Scholar
  16. 16.
    Bragdon, C. (1915). Projective ornament. Rochester, N.Y.: Manas Press.Google Scholar
  17. 17.
    Bragdon, C. (1910). The beautiful necessity; Seven essays on theosophy and architecture. Rochester, N.Y.: Manas Press.Google Scholar
  18. 18.
    Loshe, R. (1986). Richard Paul Lohse drawings 1935–1985. New York: Rizzoli.Google Scholar
  19. 19.
    March, L. (1981). A class of grids. Environment and Planning B: Planning and Design, 8(3), 325–382.CrossRefGoogle Scholar
  20. 20.
    Park, J. (2001). Analysis and synthesis in architectural designs: A study in symmetry. Nexus Network Journal, 3(1), 85–97.CrossRefGoogle Scholar
  21. 21.
    Park, J. (2003). Precedent and progress of an idea: Quadruple building block and the schindler shelter. Journal of Asian Architecture and Building Engineering, 2(2), 145–152.CrossRefGoogle Scholar
  22. 22.
    Knight, T. (1994). Transformations in design: A formal approach to stylistic change and innovation in the visual arts. Cambridge: Cambridge University Press.Google Scholar
  23. 23.
    Stiny, G. (1980). Introduction to shape and shape grammars. Environment and Planning B: Planning and Design, 7(3), 343–351.CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of ArchitectureInha UniversityIncheonKorea

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