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The confluencial symmetries of topology embody many seminal components all at the same time.  If you recall the basic Apollonian circle, here is one of its seminal symmetry forms
                    
If we project that a circle is a self-consistent superimposed wave, the condition embodies three immediate symmetries:

        1. Unit symmetry of orthogonal information transcription
        2. 1/2 symmetry of split wavelength
        3. 1/3 symmetry of rotation around a focal point
             - superpositioning is achieved in units of   +/-  (1/3) and (2/3). 

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