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The Construction of Shapes

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  • R Krishnamurti

    (Centre for Configurational Studies, The Open University, Milton Keynes MK7 6AA, England)

Abstract

An algorithm for shape rule application is presented. A shape rule α → β applies to a labelled shape γ whenever there is a transformation τ that makes α a subshape of γ. In this case, a new labelled shape can be obtained by replacing the occurrence of τ(α) in 7 with τ(β). The algorithm required for this process is developed in this paper. This algorithm determines all possible distinct transformations under which a given shape rule applies to a given labelled shape and the corresponding labelled shapes resulting from such applications. The definitions and notations given for labelled shapes and shape grammars by Stiny (1980) are used.

Suggested Citation

  • R Krishnamurti, 1981. "The Construction of Shapes," Environment and Planning B, , vol. 8(1), pages 5-40, March.
    • Handle: RePEc:sae:envirb:v:8:y:1981:i:1:p:5-40
    DOI: 10.1068/b080005
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