Analysis of the Principle and Applications of Fractal

As a matter of fact, fractal is one of the mystery in math applications which attracts a large number of scholars even in recent years. With this in mind, a brief introductions for definition of fractals and a presentation of a brief history of fractal theory will be presented in this study. To be specific, this study will provide explanations on basic principles of fractal geometry like self-similarity and scaling. At the same time, this study will also give the idea of fractal dimensions and examples of fractal shapes. In detail, the essay will include two specific fractal applications in mechanism and biomedicine. According to the analysis, challenges and limitations of fractal theory will be mentioned potential applications in various fields will be discussed. Eventually, this study will conclude summary of key points and importance of fractals in all fields. Overall, these results shed light on guiding further exploration of fractal investigation.