复杂现象视野下分形理论在建筑学科形态解析中的应用

Application of Fractal Theory in the Morphological Analysis of Architectural Discipline from the Perspective of Complex Phenomena

文章以国内外建筑学科的分形研究为资料来源,基于面(域)、线(集)、点(阵)的分类视角,回顾并梳理了复杂现象视野下分形理论在建筑学科形态解析中的应用现状,归纳总结出常用的分形维数、分维测度方法、适用范围以及对应表征的建筑意义,综合阐述了分形解析思路的展开、分维测度方法的选择与无标度区间的判别等研究要点,以期为运用分形工具量化解析建筑学科内广泛存在的复杂形态现象提供一定的启发与借鉴。

Based on the fractal research in architecture at home and abroad and from the categorical perspective of area (domain), line (set) and point (array), this paper reviews and sorts out the current application status of fractal theory in the morphological analysis of architectural discipline from the perspective of complex phenomena. It summarizes fractal dimensions commonly used and their measurement methods, scope of application and corresponding architectural significance, and comprehensively elaborates research highlights as the implementation of fractal analysis, the selection of fractal dimension measurement methods, and the discrimination of scale-invariant intervals. It is intended to provide inspiration and reference for the application of fractal tools in the quantitative analysis of complex morphological phenomena that widely exist in the discipline of architecture.