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

A Rivera
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A Rivera: Dipartimento di Matematica, Politecnico di Torino, 10125 Torino, Italy

Environment and Planning B, 1984, vol. 11, issue 4, 377-388

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.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:sae:envirb:v:11:y:1984:i:4:p:377-388

DOI: 10.1068/b110377

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