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The Simplexes
Of the Regular Polytopes The simplest shape in any dimension is called a simplex. The diagrams below show that the simplexes, the partitions of n and the permutations of yin and yang are intimately related. It is my belief that there is also a link with the Elemental Concepts.![](images/0trigrams.jpg)
Beyond dimensional space is Oneness.
![](images/2trigrams.jpg)
The simplest regular shape in 0 dimensional space is the point.
![](images/4trigrams.jpg)
The simplest regular shape in 1 dimensional space is the line.
![](images/8trigrams.jpg)
The simplest regular shape in 2 dimensional space is the equilateral triangle.It adds to 14 in every direction through the center.
![](images/zztetfinal1.gif)
The simplest regular shape in 3 dimensional space is the tetrahedon.
The broken and single horizontal lines in the above diagrams symbolize yin and yang respectively. They also represent base 2 numeration thus:
![](images/trikey.jpg)
The unbroken yang lines represent 1 and the broken lines represent 0. so the trigram above being composed of 3 solid lines has a value of 1+2+4=7. In common binary notation it would be written as 111.
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![The Simplexes](images/here.gif)