分形几何在建筑设计中的应用（The application of fractal geometry in architectural design）.doc

分形几何在建筑设计中的应用（The application of fractal geometry in architectural design） The application of fractal geometry in architectural design Abstract: this paper briefly introduces the application of fractal geometry theory and its fractal theory in architectural design, and analyzes three examples of famous buildings with fractal significance. Keywords: fractal, fractal dimension, architectural design 1. The introduction In the last two thousand years, Euclidean geometry has geometric shapes in straight lines and planes, circles and balls, triangles and conical shapes. The simple geometric structure of architectural design is rational and easy to design and construct. For thousands of years, western architects have been looking at Euclidean geometry as the only classical geometric system for measuring and creating space. However, such a complex structure could not be explained by traditional Euclidean geometry. James? Gleick has pointed out: Euclidean geometry is a highly abstract of reality, reveal that Platos philosophy of harmony. Euclid use these graphics to construct the history of two thousand years of traditional geometry, which was the most study of geometry. In which the artist found an ideal beauty, Ptolemy sent astronomers use it to construct a theory of the universe. However, in order to understand complex, Euclidean geometry is a kind of wrong abstraction process. The rapid development of science and computer technology has deepened mankinds understanding and understanding of the inner organization mechanism of nature. It was in this context that mandelbrot proposed a new geometric theory, fractal, in the 1970s. Mandel nearly said: the cloud is not the ball, mountain is not cone, lightning is not a straight line. The new geometry in this side mirror shine upon the universe is a rough, rather than a rounded, is uneven, rather than a smooth and flawless. It is rugged, fracture, distorted and struggle into a ball and the geometry of the orbiting each other. Loo