Fractal theory is a very popular and active new theory and discipline. The concept of fractal was first put forward by Benoit B. Mandelbrot, an American mathematician. The mathematical basis of fractal theory is fractal geometry, that is, fractal information, fractal design and fractal art are all derived from fractal geometry. The most basic feature of fractal theory is to describe and study objective things from the perspective of fractal dimension and mathematical methods, that is, to describe and study objective things with mathematical tools of fractal dimension. It jumps out of the traditional barriers of one-dimensional line, two-dimensional surface, three-dimensional space-time and even four-dimensional space-time, and is closer to the description of the real attributes and States of complex systems, which is more in line with the diversity and complexity of objective things.