Nexus Network Journal

, Volume 13, Issue 1, pp 15–47

What Rule(s) Should I Use?



Rules in schemas apply to shapes in terms of embedding. This melds calculating with art and design, and has many uses in teaching and in practice.


shape grammar design theory rules schemas embedding recursion hierarchy 


  1. Alberti, Leon Battista. 1972. On Painting and Sculpture. The Latin Texts of De Pictura and De Statua. Cecil Grayson, ed. & trans. London: Phaidon.Google Scholar
  2. Alberti Leon, Battista. 1988. On the Art of Building in Ten Books. J. Rykwert, N. Leach, R. Tavernor, trans. Cambridge, MA: The MIT PressGoogle Scholar
  3. Alberti Leon, Battista. 2010. Elements of Painting. Pp. 142-152 in The Mathematical Works of Leon Battista Alberti. Kim Williams, Lionel March, and Stephen R. Wassell, eds. Basel: Birkhäuser.Google Scholar
  4. Alexander Christopher (1979) The Timeless Way of Building. Oxford University Press, New YorkGoogle Scholar
  5. Baxandall Michael (1972) Painting and Experience in Fifteenth-Century Italy. Oxford University Press, OxfordGoogle Scholar
  6. Birkhoff George D (1933) Aesthetic Measure. Harvard University Press, Cambridge, MAMATHGoogle Scholar
  7. Blum, Lenore, Felipe Cucker, Michael Shub and Steve Smale. 1998. Complexity and Real Computation. New York: Springer-Verlag. (Perhaps even mathematicians play with ambiguity – at least in book titles.)Google Scholar
  8. Doxiadis Apostolos, Christos H. Papadimitriou (2009) Logicomix: An Epic Search for Truth. Bloomsbury, New YorkGoogle Scholar
  9. Durand, Jean-Nicolas-Louis. 2000. Précis of the Lectures on Architecture. David Britt, trans. Los Angeles: The Getty Research Institute.Google Scholar
  10. Eisner Elliot W (2002) The Arts and the Creation of Mind. Yale University Press, New Haven CTGoogle Scholar
  11. Eliot T.S. (1948) The Sacred Wood: Essays on Poetry and Criticism. Methuen, LondonGoogle Scholar
  12. Gombrich E.H. (1960) Art and Illusion: A Study in the Psychology of Pictorial Representation. Princeton University Press, PrincetonGoogle Scholar
  13. Hetland Lois, Ellen Winner, Shirley Veenema, Kimberly M. Sheridan (2007) Studio Thinking: The Real Benefits of Visual Arts Education. Teachers College Press, New YorkGoogle Scholar
  14. James William (1981) The Principles of Psychology. Harvard University Press, Cambridge, MAGoogle Scholar
  15. Janson, H. W. 1961. The “Image Made by Chance” in Renaissance Thought. Pp. 254-266 in Essays in Honor of Erwin Panofsky. Millard Meiss, ed. New York: New York University Press.Google Scholar
  16. Knight, Terry. Computing with Ambiguity. 2003. Environment and Planning B: Planning and Design 30, 2: 165-180.Google Scholar
  17. Langer Ellen J. (1997) The Power of Mindful Learning. Addison-Wesley, Reading, MAGoogle Scholar
  18. Laughlin Robert B (2005) A Different Universe: Reinventing Physics from the Bottom Down. Basic Books, New YorkGoogle Scholar
  19. March Lionel (1998) Architectonics of Humanism: Essays on Number in Architecture. Academy Editions, New YorkGoogle Scholar
  20. Metzger Wolfgang (2006) Laws of Seeing. The MIT Press, Cambridge, MAGoogle Scholar
  21. Oppé A.P. (1954) Alexander and John Robert Cozens, with a reprint of Alexander Cozens’ A New Method of Assisting the Invention in Drawing Original Compositions of Landscape. Harvard University Press, Cambridge, MAGoogle Scholar
  22. Perkins David N. (1981) The Mind’s Best Work. Harvard University Press, Cambridge, MAGoogle Scholar
  23. Plato. (1991) The Republic: the Complete and Unabridged Jowett Translation. Vintage Classics, New YorkGoogle Scholar
  24. Roche, Henri-Pierre, Beatrice Wood and Marcel Duchamp, eds. 2007. The Blind Man. Iowa City: The University of Iowa Libraries. The International DADA Archive.
  25. Schön Donald A (1983) The Reflective Practitioner: How Professionals Think in Action. Basic Books, New YorkGoogle Scholar
  26. Simon Herbert A (1981) The Sciences of the Artificial, 2nd ed. The MIT Press, Cambridge, MAGoogle Scholar
  27. Stiny George (2006) Shape: Talking about Seeing and Doing. The MIT Press, Cambridge, MAGoogle Scholar
  28. Stiny, George and James Gips. 1978. Algorithmic Aesthetics: Computer Models for Criticism and Design in the Arts. Berkeley and Los Angeles: University of California Press. (Don’t bother with the library – download a copy of this book for free, at
  29. Von Neumann, John. 1951. The General and Logical Theory of Automata. Pp. 1-31 in Cerebral Mechanisms in Behavior: the Hixon Symposium. Lloyd A. Jeffress, ed. New York: John Wiley.Google Scholar

Copyright information

© Kim Williams Books, Turin 2011

Authors and Affiliations

  1. 1.Department of Architecture, 10-419Massachusetts Institute of TechnologyCambridgeUSA

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