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Testify on the Four Color Conjecture
1. Synopsis of the Four Color Theorem
The Four Color Theorem of the map is the first raised by Francis Guthrie of the English university student. The content of the Four Color theorem is that it is used four color for any one map with the common border between of the different countries can color the different color and can distingush them. It shows by the mathematics language: The plane can be divided arbitrary into the not overlap area,every area can be marked by the number of 1,2,3,4,can not get the same number between the two near area. Here, the near area is that it has a border is common. If the two area meet a point or limited many points and it is not near area. Beacuse it can not confound by the some color for it (Baidu network)
2. The law Fig. and Table of the Color with “田”ord Form
Angone plane map is divided into four area with the not overlap, and every area can be marked by the number of 1,2,3,4, four area is marked part company with the different color,it can be clear disdingushed of the four small area,the method is called the color method with “田” word form. For example, how is the law for the n(n→∞)“田”word form ? Aording to analysis, it has very stong law .It can be clear marked with the not overlap for the angone area by the four color for the plane divied arbitrary into the small area .It can be marked by one color among the number of 1,2,3,4, and it can not get the same color of the number between the two near area .So, it is the conjugate relationship of the every small form and the big form (including 1,2,3,4 small forms).The small form is the inside of the big form and the big form including the four small form.So,no matter how to fine divide into the not overlep area for the plane, and it can be shown by the number of 1, 2, 3, 4(see fig and table 1). So, the Four Colar Conjecture is correct .
We can see from the fig and table 1:
(1)No matter how many of the big “田” word form n(n→∞), the four color can
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