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nullFractal Geometry and Rock MechanicsFractal Geometry and Rock MechanicsName: Li FangshuStudent number: TSP110106013CatalogCatalogTHE “FRACTAL”THE “FRACTAL”Chapter1----BASIC KNOWLEDGE OF FRACTALChapter1----BASIC KNOWLEDGE OF FRACTALChapter1----Basic knowledge of fractalChapter1----Basic knowledge of fractalChapter1----Basic knowledge of fractalChapter1----Basic knowledge of fractalClassical Fractal Curve KochKochSierpinski……Chapter2----The development of fractal Chapter2----The development of fractal In 1975, Mandelbrot bring in the idea of “fractal” in his book, which is named 《Fractal Geometry in Nature》. Even we still cannot define the fractal very exactly, most people think that there are some characteristics in fractal : Infinite subtle structure Self-similarity Huasdroff dimension D is strictly greater than its topological dimension DT Define it simply, and create it by recursion or iteration Chapter2----The development of fractal How long is the coast of Britain? Euclidian geometry is helpless.New theory: Fractal geometryChapter2----The development of fractal Chapter2----The development of fractal Chapter2----The development of fractal The milepost of Fractal science history Chapter2----The development of fractal Chapter2----The development of fractal Chapter3---- Application of Fractals on the Commercial Building Design Chapter3---- Application of Fractals on the Commercial Building DesignWith the development of science and technology, now the use of computer technology, can easily draw the variety of fractal, the fractal theory in the design of the application to provide technical assurance. We found that some of the buildings like these.We found some design idea of architect inadvertently also have fractal characteristics, some architects have been tried in the architectural design process by using fractal theory Chapter3---- Application of Fractals on the Commercial Building Design Chapter3---- Application of Fractals on the Commercial Building DesignFractal studies on architectural aesthetics is a breakthrough contribution Chapter3---- Application of Fractals on the Commercial Building Design Chapter3---- Application of Fractals on the Commercial Building DesignMelbourne City Federation Square, is the city's new public square, is an open-air amphitheatre cultural and commercial building complex. Fractal Aesthetics Thought is the main design concept of the construction the designer Peter Davidson ( Peter Davidson ) Chapter3---- Application of Fractals on the Commercial Building Design Chapter3---- Application of Fractals on the Commercial Building DesignFederation Square each building has its own unique appearance and connotation, the construction of the surface are very complex, resulting in a unique artistic effect, and the whole also has good continuity The square consists of 5 triangles superimposed, consisting of a large triangle, is the use of branch of aesthetics principle Chapter3---- Application of Fractals on the Commercial Building Design Chapter3---- Application of Fractals on the Commercial Building Design Chapter3---- Application of Fractals on the Commercial Building DesignThe outer vertical plate, also made by similarly fractal technique mosaic. And, being assembled triangle and around other triangle are not in a straight line, respectively, to move in a different direction, and the use of different materials to assemble, the whole mess free. Chapter3---- Application of Fractals on the Commercial Building DesignThese plates seem intertwined and no rules,but they are interrelated,:the minimum area triangle part of the largest  triangle area . Chapter3---- Application of Fractals on the Commercial Building Design Chapter3---- Application of Fractals on the Commercial Building DesignThe fractal design techniques, it can be said in the Federation Square building design can be seen everywhere, and the application of a very good example of our study and research . Chapter4---- The fractals application prospects Chapter4---- The fractals application prospectsWe found that many architects in the design, there are conscious or unconscious application of fractal theory of knowledge. Its purpose is to bring a new aesthetic experience, become highly abstract geometric form for a more natural, rich, with irregularly shaped fractal geometric forms. At present the concept of fractal applications in the field of architectural design is not widespread, the branch of theoretical research in the field of architecture is at a relatively shallow stage, but we have seen fractal applications in architectural design significance, I hope the above analysis of the understanding the value of fractal help, and to broaden theunderstanding of architectural design aesthetic, the aesthetic of this nature properly applied geometric architectural design. null Dec.29, 2011