フラクタル幾何学に基づくトラスの形状生成と建築設計への応用に関する研究

概要

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This paper describes the geometric characteristics of fractal triangles constituting truss structures. Next, geometric images of them are generated on a graphic display using IFS code and chaos algorithm. They are converted into data files of a 3D CAD system which are normally described by Euclidian geometry and then, more realistic images of architectures are drawn by humans and computers. Subsequently, the authors present design examples of a gymnasium and a library based on the images. The former has frameworks constituting Sierpinski triangles and the later has those whose fractal dimension is the same with the bamboo's acquired by box-counting. Finally, they conclude that it is possible to create architectural configurations which have the same geometric system with those of nature, such as botany, clouds and coastlines.
1998-02-28