Is it fractal? In other words, the research is infinitely complex, but in a certain sense.
The self-similar graph and the structure of the geometric. What is self-similarity? For example, there is no big difference in shape between a huge tree and its branches and branches. The relationship between trees and branches is in the geometric shape.
It is called self-similarity. Let's take a leaf and take a closer look at the veins. They also have this nature. Animals are no exception, the genes in a cell in the body of a ox record the growth of the ox.
Information, as well as the surface of the mountain. No matter how you zoom in on the surface, it is so rough and uneven. These examples are everywhere. Fracry reveals the essence of the world. fracry is the true description of the big self.
Of.
The word "Fractal" was translated into fractal. It was created by the word "frangere" in 1975 by Mandel brot (B. Mandelbrot), the founder of fractal.
The word itself has the meanings of "broken" and "irregular. The most exciting part of the Mandelbrot study was the collection he discovered in 1980 and named after him.
An unexpected structure (see figure 1 ).
Mandelbrot
The boundary of a set graph has an infinitely complex and fine structure. If the accuracy of a computer is unlimited, You Can infinitely enlarge its boundaries. Figure 2. Figure 3
Is to enlarge the two rectangular box area in Figure 1. When you zoom in on an area, its structure is changing to show new structural elements. This is as mentioned above "winding a coastline", regardless of your
How to enlarge its part, it is always twists and turns but not smooth, that is, continuous can not be micro. The smooth Curves abstracted in calculus do not exist in our lives. Therefore, the Mandelbrot set is a traditional
Geometric challenges.
Using a mathematical method to color the enlarged area, these areas become exquisite art patterns, which are called "Fragment Art ".
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