Computer Simulation Of Fractal Growth

In this work, we first introduced a new subject——fractal. from the origin, basic principle, development etc, we reviewed the history of the development of fractal briefly, summarized the basic theory and the basic elements of fractal, made a particular description on the method of the fractal dimension measurement. In the second part, We introduced the classics model of Diffusion-Limited Aggregation (DLA) and the principles of fractal analysis, and also introduced the improvement the DLA model in recent years. At keeping the most inherent natures (such as diffusion mode, agglutinate probability, etc.) of the DLA model, we improved the DLA model, by changing the radius of the aggregation along with the framework of the formed fractal. The nearest-neighbor (NN) and the nearest-neighbor and the nest nearest-neighbor (NNN) and the limited growth direction of them were all researched, and we obtained variety of fractals, the dimension of the changed model is less than the one of DLA even as parts of them were similar to the experimental result.The significance of this topic research is that we improved the classics model, had carried on the preliminary analysis to its forming process, which is possibly helpful to the experiment of our laboratory.