By continuously feeding back the results into the system information circulates and grows in the interactions that occur. One can create an infinite number of fractals, some of which are already visible in nature. There is no scale small enough that these intricate shapes cease to form. The number of fractals in the world or that can be created is infinite. His work has also shaken the idealization of dimensions.
Objects can be a fractional of fractal dimension.
Mandelbrot has increased the knowledge of fractal geometry considerably. He is the one who tied fractals to nature. Yet he also created his most beautiful fractals on computers. He found the futility of searching for the finer, separate parts of the system. But he did get close.