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Combining Triples: Using a Graph Grammar to Generate Courthouse Topologies
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Thomas Grasl, Athanassios Economou and Cassie Branum
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Gülen Çağdaş and Birgül Çolakoğlu
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Computation - The New Realm of Architectural Design: Proceedings of the Twentieth-Seventh Conference on Education and Research in Computer-Aided Architectural Design in Europe (eCAADe)
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ITU /YTU, Istanbul, Turkey
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Shape studies, Graph grammars, Shape grammars, Symmetry, Configuration
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Group theory has been extensively used in systematic studies in analysis and synthesis of form. A particular analytical method founded upon group theory, the subsymmetry analysis, has been quite successful in showing how asymmetric designs can be seen as aggregates of parts that all possess various degrees of symmetry. This work generalizes these approaches and provides a computational framework for the complete and automated representation of all underlying group structures of finite n-dimensional shapes with a center of symmetry, for n ≤ 3. The application is implemented using GrGen.Net a graph rewriting system written in C#. Some possible applications to illustrate these ideas with shape grammars are discussed in the end.
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