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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.

Beyond dimensional space is Oneness.

The simplest regular shape in 0 dimensional space is the point.

The simplest regular shape in 1 dimensional space is the line.

The simplest regular shape in 2 dimensional space is the equilateral triangle.It adds to 14 in every direction through the center.

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:

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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