INDUCED GROUP AND SYMMETRY GROUP THEORY: GENERATING NEW DESIGNS FROM KNOWN ONES

Nyoman, Dewi Pebryani and MICHAEL, C. B. KLEISS (2018) INDUCED GROUP AND SYMMETRY GROUP THEORY: GENERATING NEW DESIGNS FROM KNOWN ONES. In: LEARNING, PROTOTYPING AND ADAPTING Proceedings of the 23rd International Conference on Computer-Aided Architectural Design Research in Asia (CAADRIA 2018) Volume 2. School of Architecture Tsinghua University.

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Abstract

Abstract. Symmetry Group theory has been extensively used to ana- lyse pattern design not only in a design field but also in other fields, such as art history and anthropology. However, there is a rare study that focuses on how to utilize symmetry groups in generating new pattern designs from known ones. Induced group theory is an expansion from Symmetry Group theory that can be used to create constructive patterns. This paper shows how to incorporate both theories in generating new design patterns along with a designated design unit. This study will pro- vide a new idea on how to incorporate theories of pattern analysis into a practice of generating new pattern designs. Keywords: Pattern; symmetry group; induced group; generative de- sign; design unit

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