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Implementation issues of parallel shape grammars

Published online by Cambridge University Press:  09 May 2018

Rudi Stouffs Open the ORCID record for Rudi Stouffs [Opens in a new window]
Rudi Stouffs*
Affiliation:
Department of Architecture, National University of Singapore, 4 Architecture Drive, Singapore 117566, Singapore
*
Author for correspondence: Rudi Stouffs, E-mail: [email protected]
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Abstract

Shape grammars come in a variety of forms. Algebras of shapes have been defined for spatial elements of different kinds, as well as for shapes augmented with varying attributes, allowing for grammar forms to be expressed in terms of a direct product of basic algebras. This algebraic approach is extended here to the algebraic derivation of combinations of basic shape algebras with attribute algebras. This algebraic abstraction at the same time serves as a procedural abstraction, giving insights into the modular implementation of a general shape grammar interpreter for different grammar forms. In addition, we consider practical limitations on algebraic compositions of basic shape algebras with attribute algebras and identify a complication with respect to solving the matching problem for parallel and compound shape grammars, suggesting a way to address this complication.

Keywords

Compound shapesimplementationparallel grammarsshape algebrasshape grammars
Type
Regular Articles
Information
AI EDAM , Volume 32 , Special Issue 2: Advances in Implemented Shape Grammars: Solutions and Applications , May 2018 , pp. 162 - 176
Copyright
Copyright © Cambridge University Press 2018 

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