Shape Computation Lab

Point Worlds

 


Title:

Point Worlds

Authors:

Athanassios Economou and Thomas Grasl

Editors:

Gülen Çağdaş and Birgül Çolakoğlu

Conference:

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)

Series:

eCAADe 27

Pages:

221-228

Publisher:

ITU /YTU, Istanbul, Turkey

Publication date:

September 2009

ISBN:

978-0-9541183-8-9

Keywords:

Shape studies, Graph grammars, Shape grammars, Symmetry, Configuration

Abstract:

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.

links