Nexus Network Journal

, Volume 20, Issue 1, pp 251–266 | Cite as

Subsymmetries for the Analysis and Design of Housing Facades

  • Jin-Ho Park


With symmetry, complex designs as a whole can be decomposed to several parts for analysis. On the other hand, these parts can be recombined into multiple sequential designs using the same principles. The complementary applications of the symmetry idea are extremely valuable in a constructive sense. This article discusses the seven frieze groups of symmetry and subsymmetry as a compositional device in the analysis and synthesis of building facades. A few housing facades are analyzed with respect to the symmetry and a new façade design in rows of houses, where all seven frieze groups of symmetry are overlaid, is constructed to demonstrate the application of symmetry in a formal composition.


Frieze group Symmetry and subsymmetry Façade Architectural design Compositional device 



This work was supported by an Inha University research grant. Most of all, I am grateful to Professor Lionel March for his support and advice during the preparation of this manuscript. I also thank Kim Williams for reading and editing the final manuscript.


  1. Cohen, Preston Scott. 2001. Contested Symmetries and Other Predicaments in Architecture. New York: Princeton Architectural Press.Google Scholar
  2. Coxeter, Harold S.M and W. O. J. Moser. 1980. Generators and Relations for Discrete Groups. New York: Springer Verlag.Google Scholar
  3. Düttmann, Martina, Friedrich Schmuck and Johannes Uhl. 1981. Color in Townscape. San Francisco: W. H. Freeman.Google Scholar
  4. Economou, Athanassios. 2006. Tracing Axes of Growth. Pp. 351-365 in: Visual Thought: The Depictive Space of Perception (Advances in Consciousness Research 67), Liliana Albertazzi, ed. Amsterdam: John Benjamins.Google Scholar
  5. Gausa Manuel. 1998. Housing-New Alternatives, New Systems, Barcelona: Actar Publishers.Google Scholar
  6. Gebhard, David, ed. 1993. The Architectural Drawings of R.M. Schindler. Garland Architectural Archives. New York: Garland Pub.Google Scholar
  7. Gravagnuolo, Benedetto. 1982. Adolf Loos: Theory and Works. New York: Rizzoli.Google Scholar
  8. Grünbaum, Branko and Shephard G.C. 1987. Tilings and Pattern. New York: W.H. Freeman.Google Scholar
  9. Gunter, Roland. 1985. Balance: De Stijl and the Tradition of Dutch Urban Culture. Daidalos 15: 83-93.Google Scholar
  10. Hersey, George and Richard Freedman. 1992. Possible Palladian Villas. Cambridge: MIT Press.Google Scholar
  11. Hoffmann, Hubert. 1967. Row Houses and Cluster houses: An International Survey. New York and Washington: Frederick A. Praeger.Google Scholar
  12. Kirschenmann, Jorg and Christian Muschalek. 1980. Residential Districts. New York: Whitney Library of Design.Google Scholar
  13. March, Lionel and Philip Steadman. 1971. The Geometry of Environment. Cambridge: MIT Press.Google Scholar
  14. Martin, George. 1982. Transformation Geometry: An Introduction to Symmetry. New York: Springer.Google Scholar
  15. Park, Jin-Ho. 1996. An Interview with Mark Mack. In a periodical, POAR(People of Architecture). Seoul: Ganhyang.Google Scholar
  16. Park, Jin-Ho. 1999. The architecture of Rudolph Michael Schindler (1887-1952): The formal analysis of unbuilt work. Unpublished Ph.D. dissertation, University of California, Los Angeles.Google Scholar
  17. Park, Jin-Ho. 2000. Subsymmetry Analysis of Architectural Designs: Some Examples. Environment and Planning B: Planning and Design 27(1): 121-136.Google Scholar
  18. Park, Jin-Ho. 2001. Analysis and Synthesis in Architectural Designs: A Study in Symmetry. Nexus Network Journal 3(1): 85-97.Google Scholar
  19. Park, Jin-Ho. 2004. Symmetry and Subsymmetry as Characteristic of Form-making: The Schindler Shelter. Journal of Architectural and Planning Research 21(1): 24-37.Google Scholar
  20. Park, Jin-Ho. 2017. Frieze Symmetry as an Underlying Principle of Housing Elevation Designs. Pp 49-57 in: Morphological Analysis of Cultural DNA: Tools for Decoding Culture-Embedded Forms, Ji-Hyun Lee, ed. KAIST Research Series. Singapore: Springer.Google Scholar
  21. Rowe, Colin and Robert Slutzky. 1997. Transparency. Basel and Boston: Birkhäuser.Google Scholar
  22. Shubnikov, A. V. and V. A. Koptsik. 1974. Symmetry in Science and Art. New York: Plenum Press.Google Scholar
  23. Sheine, Judith. 2001. R. M. Schindler. New York: Phaidon Press.Google Scholar
  24. Stiny, George and William Mitchell. 1978. The Palladian Grammar. Environment and Planning B 5(1): 5-18.Google Scholar
  25. Untermann Richard and Robert Small. 1977. Site Planning for Cluster Housing. New York: van Nostrand Reinhold.Google Scholar
  26. Wieting, Thomas W. 1982. The Mathematical Theory of Chromatic Plane Ornaments. New York: Marcel Dekker.Google Scholar
  27. Williams, Kim. 1999. Symmetry in Architecture. Visual Mathematics 1(1), Accessed 27 Sept 2017

Copyright information

© Kim Williams Books, Turin 2017

Authors and Affiliations

  1. 1.Department of ArchitectureInha UniversityIncheonKorea

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