• Korean Journal of Computational Design and Engineering
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• v.15 no.6
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• pp.440-448
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• 2010

At the early design stage, a designer would develop a design through reviewing various alternatives. However, the limitation of human information handling capacity restricts what makes various alternatives. A way to overcome the limitation is to create the alternatives with computer power and the generative design concept with computer has been used. For the generative design, even if a great deal of methodologies has been presented, the core of methodologies would be the process of shapes which examine interrelationship among shapes and how shape can be changed with the interrelationship. The interrelationship can be represented as rules. To represent the rule, the shape grammar is suggested by Stiny in 1972 with the article of "Shape Grammars and the Generative Specification of Painting and Sculpture". The aim of this paper is to present a way of using generative design based on shape grammar for generating alternatives in 3D manner.

• Korean Institute of Interior Design Journal
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• no.31
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• pp.12-18
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• 2002

This study was performed to construct the spatial systems and shape grammars in architecture based on Froebel's educational idea and building gifts. Especially, it studies on the geometrical principles of Froebel's building gifts and it's types, and then illustrates applied examples about design vocabularies, spatial relations and shape rules of the spatial systems and shape grammars in architecture. The conclusions of this study that starts these purpose are as follows. First, Froebel's educational theory is based on principles and rules which are perceived through the observation of nature, and Froebel's kindergarten method consists of geometrical building gifts and categories of geometrical forms. Second, the characteristics of Froebel's building gifts are mathematical size, proportion, symmetry and the rules of spatial relation. Third, the development to the construction of spatial systems and shape grammars in architecture focus on the vocabularies of architectural elements, and Froebel's building gifts are used for illustration of examples in these formula.

• Journal of applied mathematics & informatics
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• v.42 no.3
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• pp.483-497
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• 2024

Isometric array grammar is one of the simplest model to generate picture languages, since both sides of its production rule have the same shape. In this paper, we have introduced isometric fuzzy regular array grammars to generate isometric fuzzy regular array languages and discussed its closure properties. Also, the relation between isometric fuzzy regular array grammar and boustrophedon fuzzy finite automata has been discussed. Moreover, we study the relation between two dimensional fuzzy regular grammars with returning fuzzy finite automata and boustrophedon fuzzy finite automata. Further, the hierarchy results of these three classes of languages have been discussed.

• International Journal of Advanced Culture Technology
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• v.12 no.1
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• pp.51-59
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• 2024

Qiang ethnic group is one of the fifty-six ethnic minorities in China, and Qiang embroidery, as an important achievement of Qiang's intangible cultural heritage, is the precipitation and testimony of the history and culture of the Qiang ethnic group. However, with the development of the times, traditional and ancient Qiang embroidery is facing a dilemma due to the problem of a single form of communication. Therefore, it is necessary to add new communication media for Qiang embroidery to help it spread and develop better. In this paper, we extract the core representative patterns of Qiang embroidery, use the "shape grammars" as the rules of morphological changes, and generate new decorative pattern patterns with the characteristics of Qiang embroidery by adding, deleting, mirroring, rotating, and other relevant rules of changes, and combine the new patterns with the rules of formal beauty to combine the layout, which is then applied in the design of different cultural creations and products. The new patterns are combined with the rules of formal beauty and applied in the design of different cultural and creative products. To provide a quantitative method for the digital protection of Qiang embroidery in the new era of Chinese traditional art, and also provide new ideas for the industrialization application.