The transcendental nature of a Connexion

In 'About I Ching Connexion...' it says: The I Ching Connexion
is an ever-changing but always consistently interlocking graphic representation of the way the 64 hexagrams interrelate.
What does 'always consistently interlocking' mean?
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Any Connexion generated by this program is called transcendental, because the explicit information necessary to generate it, transcends to an implicit level in the very result.
Consequently, any Connexion may be 'wiped clean', leaving a 'bare Connexion' of 64 hexagons, without losing any of its information.
The essence of a bare Connexion is that each of the 64 hexagons differs from all others in terms of the pattern its neighbours form around it. A beautiful aspect of a Connexion is that the number of its groups will always equal the number of its loops.
That, in short, is what 'always consistently interlocking' means, and what the program, essentially, does. 
The number of different transcendental Connexions may meanwhile very well surpass the number of atoms in the Universe.
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Click Verify under Connexion, and you'll get a bare Connexion.
Click any hexagon to verify that the pattern its neighbours form around it is sufficient for identification.