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# The 16 Binary Permutations

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The 16 permutations are the base 2 expansions of the 9 base 3 permutations. They are identical to the 16 geomantic figures although I am sceptical about the concepts traditionally attached to them.

The diagram below shows the permutations in their differentiated configuration. Note that the diagram shows the relative polarity, the bi-elemental nature and the base 10 value for each permutation.

This diagram shows the 16 permutations in their undifferentiated configuration: a Magic Square totaling 30 in every direction. Note the diagram which shows the internal structure,ie the linear numerical sequence from 0-15.

The 16 permutations fit exactly apon the features of the tetrahedon.

In the broadest sense yin and yang can be seen to represent 2 opposites. In the case of the tetrahedon yang represents conciousness and yin represents unconciousness. Therefore:

the

**1** permutation comosed entirely of yang lines is positioned centrally.

The

**4** permutations with a ratio of 3 yang:1 yin are placed on the four faces which are topographically the nearest features to the center.

The

**6** permutations with a ratio of 2 yang:2 yin are placed on the six edges

The

**4** permutations with a ratio of 1 yin:2 yang are placed on the four corners which are topographically the furthest featue from the center.

The

**1** permutation composed entirely of yin, representing unconciousness is placed hyperthetically on the sphere surounding the tetrahedon.

This

**14641** pattern corresponds exactly with the 5th level of

Pascal's Triangle
The tetrahedon also forms a perfect 3 dimensional diagram for the 5 Elements and their relationships:

The Tetrahedron and the 5 Elements
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