Application of Fractal Geometry to Architectural Design

Lee, Myung-Sik

  • Received : 2014.09.21
  • Accepted : 2014.12.01
  • Published : 2014.12.30


Contemporary architecture tends to deconstruct modern architecture based on rationalization just like reductionism and functionalism and secedes from it. It means change from mechanical to organic and ecological view of the world. According to these changes, consideration of a compositive relationship presented variety and complexity in architecture. Thus, the modern speculation based on rationalism cannot provide an alternative interpretation about complicated architectural phenomena. At this point in time, the purpose of this study is to investigate the possibilities of the fractal as an alternative tool of analysis and design in contemporary architecture. In this study, two major aspects are discussed. First, the fractal concepts just like 'fractal dimension', 'box-counting dimension' and 'fractal rhythm' can be applied to analysis in architecture. Second, the fractal formative principles just like 'scaling', 'superimposition trace', 'distortion' and 'repetition' can be applied to design in architecture. Fractal geometry similar to nature's patterned order can provide endless possibilities for analysis and design in architecture. Therefore further study of fractal geometry should be conducted synthetically from now on.


Fractal;Fractal Dimension;Box-Counting Dimension;Fractal rhythm;Self-Similarity;Non-Linearity;Randomness


  1. Kim, Yongwoon․Kim, Yongkook (2000). The world of fractal and chaos. Woosung publishing
  2. Carl Bovill (1996). Fractal Geometry in Architecture and Design, Carpenter Center for the Visual Arts. Harvard University
  3. Kwan, Yunggil (2003). 16 Issues in space design. Kukje publishing
  4. Sin, Byungyun (2002). To the non boundary form and the space. Spacetime
  5. F. Cafra (2004). The Web of Life: A New Scientific Understanding of Living Systems. Copyrighted Matenal
  6. Bateson, Gregory (1999). Steps to an Ecology of Mind (Univ of Chicago). University of Chicago Press
  7. Peitgen, Heinz-Otto/ Jurgens, Hartmut/ Saupe, Dietmar/ Jnrgens, Hartmut/ Jurgens, H. (2004). Chaos and Fractals. Springer Verlag
  8. Gausa, Manuel/ Guallart, Vicente/ Muller, Willy (2003). The Metapolis Dictionary of Advanced Architecture. Distributed Art Pub Inc.
  9. Kim, Sookyung (2001). A study on architectural application of the fractal geometry as a form-generating method. Hanyang University, Seoul, Korea
  10. Lim, Jihoon (2002). A study on design movement of digital architecture. Dongguk University, Seoul, Korea
  11. Kim, Joomi (2003.04). The Design Principles and Expressive Characteristics Based on Fractal Concepts-Focused on Painting and Space Design. KIID Vol.37
  12. Kim, Joomi (2000.03). The Architectural Concepts and Design Properties as a Complex System. KIID Vol.22
  13. Lee, Sunggu (2004.06). A Study on the Form-generating Algorithm of Fractal Geometry in Shuhei Endo's Works. AIK Vol.20, No.6
  14. Kim, Neunghyun (2000.12). A Study on Trend in Reinterpretation of Architectonic Programming as a Schematic Factor in Contemporary Architecture. KIID Vol.25
  15. Kang, Hoon (2004.11). A Study on 'Fold' as a Digital Architectural Design. AIK Vol.20, No.11
  16. Jung, Inha (2003.06). A Study on the Non-representational Architecture in Comparing between Perspectiva artificialis and Digital Modelling Method. KAAH Vol.12, No.2
  17. Moon, Jungpil (2004.01). Study on the Formal Meaning of Irregular Architecture Form in the View Point of Time Continuity in Townscape. AIK Vol.20, No.1
  18. Daniel Libeskind (2003.04). The Spiral. Space
  19. Shuhei Endo (2002.12). Paramodern Architecture, architecture and culture. A&C publishing
  20. Jang, Woonku (2002.12). Criticism: Poetics of Continuous Skin. A&C publishing
  21. Wolfgang E. Lorenz. Fractals and Fractal Architecture
  22. Ostwald. Fractal Architecture: Late Twentieth Century Connections Between Architecture and Fractal Geometry.
  23. Fractal Models in Architecture: a Case of Study. NICOLETTA SALA.
  24. An, Daeyung. chaos and fractal.
  25. Richard Taylor, Adam Micolich and David Jonas, Fractal expressionism.
  26. Kim, Daeik. Metapattern(II): Two stochastic processes.


Supported by : National Research Foundation of Korea(NRF)