NESTING STRUCTURE OF ARCHITECTURAL SPACE AND ALGEBRAIC EQUATION INTRODUCED BY SCHEMA GRAMMAR

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  • 入れ子空間構造とスキーマグラマーから誘導される代数方程式
  • イレコ クウカン コウゾウ ト スキーマグラマー カラ ユウドウ サレル ダイ

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A part of architectural space, sometime, has a sub-part which is morphologically same or similar to the part. This type of structure of architectural space is called "IREKO" in Japanese or nesting structure. The nesting structure generates variety in architectural form although it is very complex and its concept is not so clear. The aim of this paper is to make clear the concept of nesting structure and its characteristics. We give a couple of definitions of the concept of nesting structure through the discussion on an example of Chinese Rose Window. The first definition of nesting structure suggests relevancy to the fractal theory. The second definition introduced by schema grammar produces a theory of nesting structure. That is, a set of architectural space is expressed by a series of terms and the nesting structure is corresponding to a solution of an abstractive equation system which is defined by schema rules. We show that the equation system can be solved by algebraic procedure and a set of forms of architectural space which has a nesting structure is defined as the solution.

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