Simulation and Dimension Calculation of Fractal Set

The definition of fractal dimension from integer to fraction breaks through the limitation of topology in which the dimension is integer;it is the important change and development of mathematical theory.Based on the fundamentals on fractal dimension,adopting recursion algorithm,through computer programming,several fractal concourses are simulated,and their corresponding dimensions are calculated.From the experimental results,we can find that these fractal set have somewhat self-similar forms,and that the fractal dimension of common fractal concourse is strictly greater than its corresponding topological dimension.