Fractal Beauty Exploration Of Chinese Classical Gardens

In 1975, American mathematician Benoit Mandelbrot " Fractals Form, Chance, and Dimension " the name of epoch-making significance published works. In the book first systematically elaborated divides the shape geometry the content, the significance, the method and the theory. After decades of develop, it produces the shock wave has rapidly rolled up like a mat physics, chemistry, the materials science, the medicine and the biology, mechanics, the geological science, and even the economy, the society, art and so on each domain. The fractal geometry took the non-linear science the important branch, is an accurate description of natural phenomena and social phenomenon effective mathematical models and tools, called the "the natural geometry." It described the hideaway to be chaotic, the disorderly structure essence in the nature and the regularity. And with the combination of art, nature is unfolds incisively the infinite charm.Coincidentally, as the world of art a wonderful work of the forest-classical Chinese garden art, the artistic charm lies in the " imitating natural", and stress, "but for the people, since from the nature." It is easy to see, from its nature and the nature of fractal theory is homologous. Fractal theory and classical Chinese garden because of its co-owner of " natural" attributes were closely linked.This study is the application of fractal theory in classical Chinese garden art, in it, Classical Chinese Garden Art from a rule of elements and layout of the fractal characteristics of all the beauty, and the philosophy behind the meaning also includes a number of fractal thinking. This is their self-similarity of the study, while Chinese classical gardens of the Plan and Elevation belonging to the statistical side of the fractal pattern of the area. The author used FractalFox to analyze and calculate the box dimension in order to determine its fractal nature. With the spread of fractal art and development, fractal art and classical Chinese garden art of combining the research and application, not only to better inherit and carry forward the art of Chinese classical gardens of outstanding quality, and tap the other side of the aesthetic charm and more innovative designs for the garden to provide a new way of thinking for garden design in the provision of a reference.Given the large number of the collection, study and summing up the results of previous studies on the basis of this paper should focus on the following research:1. On fractal theory and the basic concepts of fractal theory in the study of the status quo at home and abroad, and then discussed and the analysis of fractal theory in the field of application and the problems that exist. On this basis, the paper described the purpose of the study, the significance of research methodology and the overall structure. 2. The introduction of fractal art and fractal art on the definition. Of the arts, the mathematical characteristics: self-similarity, winding, and nested. Furthermore, the fractal beauty put forward the concept of fractal and classification: self-similarity beauty, the beauty of non-Euclidean geometry, the beauty of fractal time. Expound on Fractal beauty and the classical beauty of form beyond.3. Research and analysis of the Chinese traditional philosophy——Chinese classical gardensof guiding significance of the subject, in particular implication in the classical Chinese garden in the philosophy of fractal thinking of the traditional philosophy that includes a large number such as self-similarity, simplicity and complexity, uncertainty and Randomness views and identities.4. Further from the classical Chinese garden layout characteristics and composition of elements it contains the point of view of the fractal beauty, with a new perspective mining its charm.In short, papers will fractal art and classical Chinese garden design method combination, and explore the beauty of form fractal landscape design guidance for providing a new rational authoring tool, the fractal art in the field of research and application to develop a broader, more promising path.