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Problems in Architectural Design and Topological Structures in Thorn's Theory

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  • A Rivera

    (Dipartimento di Matematica, Politecnico di Torino, 10125 Torino, Italy)

Abstract

This work is an examination of the possibility of formalizing local design problems. A translation is proposed of peculiar design notions into mathematical concepts, with particular reference to Thorn's theory, such as: manifolds, dynamical systems, tangent spaces, attractors. Definitions of neighbourhoods and of topological spaces in design theory represent possible means for reaching such a translation. Physical, geometrical, economical variables must be projected onto mathematical spaces and languages, to build a consistent system. The result is a model which aims at representing the qualitative dynamics of the effects of each design choice, and therefore brings us nearer to obtaining consistent parameters for each design problem.

Suggested Citation

  • A Rivera, 1984. "Problems in Architectural Design and Topological Structures in Thorn's Theory," Environment and Planning B, , vol. 11(4), pages 377-388, December.
  • Handle: RePEc:sae:envirb:v:11:y:1984:i:4:p:377-388
    DOI: 10.1068/b110377
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