Research On Analysis Of The Architectural Forms Based On Fractal Geometry

As a new discipline having been rapidly developing since the 1970s,fractal theory has become one of the three main concerns in recent nonlinear science research,the others being soliton theory and chaos theory.As a new branch of modern mathematics,fractal geometry was created because of the inadequacy of traditional Euclidean geometry.It provides a possible way to study the universal forms of nature,puts forward new ideas to solve problems in various areas of traditional science and thus has been widely used in an increasing number of research areas.Due to the inherent links between geometry and architecture,fractal geometry has also been quickly introduced to the architectural field,and gradually adopted to solve a variety of problems in that area.Based on such background,this thesis summarizes and describes the connotation and extension of fractal features of architectural forms from the aspect of applying fractal geometry into architectural formal analysis.What's more,the thesis carries out in-depth formal analysis in architectural facade,and expounds fractal geometry-based methods for such analysis.By analyzing several representative examples,the thesis elaborates on the possibilities of applying fractal geometry into architecture analysis and on how to do this,revealing the formal aesthetic rules implied in some excellent architectural facade forms,and thereby indirectly discussing the practical significance of applying fractal geometry into architectural formal analysis.The thesis includes five parts.Chapter one provides the background,significance and main concerns of the research.Chapter two gives an overview of the basic principles of fractal geometry,clarifying what is fractal,and how to measure fractal and the fractal geometry properties identified by fractal dimensions.The third chapter investigates the connotation of fractal features of building facade,and further extracts the essential elements of the application of fractal geometry into building facade analysis and the aesthetic value embodied by them,thus providing basis for further evaluation.Chapter four discusses in detail the methods and steps of applying fractal geometry into analyzing building facade,and the three aspects of application.Chapter five selects several representative examples to carryout analysis based on the methods and procedures mentioned in chapter four,revealing the formal beauty laws contained in these building facade forms on the one hand,and indirectly discussing the practical significance of applying fractal geometry in analyzing building facade on the other hand.