What is the “outer node” of a “magic” 3-gang ring?

I want to solve Project Euler problem number 68 in C #, but I still do not understand this question clearly. What does the external node mean in this statement of the problem?

Consider the following “magic” 3-sided ring, filled with numbers 1 to 6, and each line is added to nine.

   4
    \
     3
    / \
   1 - 2 - 6
  /
 5

It works clockwise , and starting with a group of three people with a numerically low external node (4.3.2 in this example), each solution can be uniquely described. For example, the above solution may be described in a variety of: 4,3,2; 6.2.1; 5.1.3.

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' node' node, (). 4, 5 6 .
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, " ", 9 - . " " , .

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@ : "4,3,2; 6,2,1; 5,1,3 ' > ' 4,2,3; 5,3,1; 6,1,2 ', 432621513 > 423531612. , .

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: " , 9- , 3- - 432621513".

What does "maximum" mean? Why? 4.3.2; 6.2.1; 5.1.3 & apos;> 4.2.3; 5.3.1; 6.1.2? This, of course, makes no sense in terms of set theory ...

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