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From Shape Rules to Rule Schemata and Back

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Design Computing and Cognition '14

Abstract

Shape rules and rule schemata are compared in terms of their expressive and productive features in design inquiry. Two kinds of formal processes are discussed to facilitate the comparison. The first proceeds from shape rule instances and infers rule schemata that the shape rules can be defined in. The second proceeds from rule schemata and postulates shape rule instances that can be defined within the schemata. These two parallel processes mirror our intuition in design: the conceptual need to frame explicit actions within general frameworks of principles, and the productive need to supply general principles with an explicit system of actions.

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References

  1. Stiny G (1980) Introduction to shape and shape grammars. Environ Plan B: Plan Des 7(3):343–351

    Article  Google Scholar 

  2. Knight TW (1994) Transformations in design: a formal approach to stylistic change and innovation in the visual arts. Cambridge University Press, Cambridge

    Google Scholar 

  3. Stiny G (2006) Shape, talking about seeing and doing. MIT Press, Cambridge, MA

    Google Scholar 

  4. Stiny G (2011) What rule(s) should I use? Nexus Network Journal 13:15–47

    Article  MATH  Google Scholar 

  5. Langer SK (1957) Philosophy in a new key: a study in the symbolism of reason, rite, and art. Harvard University Press, Cambridge

    Google Scholar 

  6. Knight T (2000) Shape grammars in education and practice: history and prospects. Int J Des Comput 2:67

    Google Scholar 

  7. Economou A (2001) Shape grammars in architectural design studio. In: Mitchell W, Fernandez J (eds) Proceedings of the 2000 ACSA Technology Conference. ASCA, Washington, DC, pp 75–81

    Google Scholar 

  8. Kotsopoulos S (2005) Constructing design concepts: a computational approach to the synthesis of architectural form. PhD Thesis, Massachusetts Institute of Technology, Cambridge, MA

    Google Scholar 

  9. Kotsopoulos S (2008) From design concepts to design descriptions. Int J Archit Comput 06(03):335–360

    Article  Google Scholar 

  10. Kotsopoulos S (2005) A computational framework of composition, Proceedings of the 23th conference in education and research in computer aided architectural design in Europe. In: Duarte JP, Ducla-Soares G, Sampaio AZ (eds) Digital design: the quest for new paradigms. Technical University of Lisbon, Portugal, pp 515–536

    Google Scholar 

  11. Stiny G (1979) Algorithmic aesthetics: computer models for criticism and design in the arts. University of California Press, Berkeley

    Google Scholar 

  12. Krstic D (2001) Algebras and grammars for shapes and their boundaries. Environ Plan B: Plan Des 28(1):151–162

    Article  MathSciNet  Google Scholar 

  13. Krstic D (2005) Shape decompositions and their algebras. AIE EDAM 19(04):261–276, Cambridge University Press

    Google Scholar 

  14. Stiny G (1976) Two exercises in formal composition. Environ Plan B: Plan Des 3:187–210

    Article  Google Scholar 

  15. March L, Steadman P (1974) The geometry of the environment. MIT Press, Cambridge, MA

    Google Scholar 

  16. Economou A (1999) The symmetry lessons from Froebel building gifts. Environ Plan B: Plan Des 26(1):75–90

    Article  Google Scholar 

  17. Mitchell W (1990) The logic of architecture. MIT Press, Cambridge, MA

    Google Scholar 

  18. Grasl T, Economou A (2013) Unambiguity: difficulties in communicating shape grammar rules to a digital interpreter. In: Stouffs R, Sariyildiz, S (eds) Computation and performance: proceedings of the 31st eCAADe conference. Delft University of Technology, Delft, vol. 2, pp 617–620

    Google Scholar 

  19. Grasl T, Economou A (2013) From topologies to shapes: parametric shape grammars implemented by graphs. Environ Plan B: Plan Des 40(5):905–922

    Article  Google Scholar 

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Correspondence to Athanassios Economou .

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Economou, A., Kotsopoulos, S. (2015). From Shape Rules to Rule Schemata and Back. In: Gero, J., Hanna, S. (eds) Design Computing and Cognition '14. Springer, Cham. https://doi.org/10.1007/978-3-319-14956-1_22

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  • DOI: https://doi.org/10.1007/978-3-319-14956-1_22

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-14955-4

  • Online ISBN: 978-3-319-14956-1

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