Summarizing on Quasi 24-Symmetry

On 8-Colors Combinatorics and [ Quasi 24-Symmetry ]

Section VII - Summarizing on the [ Quasi 24-Symmetry ] Criteria

In this Section , we shall summarize our thoughts thus far on [ Quasi 24-Symmetry ] ;
- and in particular :
  - what may possibly constitute [ Quasi 24-Symmetry ] .

Let us now bring back , at this point , the [ 24 Base Structural Patterns ] and the [ 24 QSM Patterns --- ALPHA Series ] ,
- as per this set of 2 diagrams below :
And thru an analytic procedure involving computers , we were able to establish the following :
- IF :
  - We select at random :
    - any one of the [ 24 Base Structural Patterns ] to serve as our [ Anchor Pattern ] , and
    - any one of the [ 24 QSM-Patterns - ALPHA Series ] to serve as our [ Core Pattern ] ;
  THEN :
  - When we do our Expansion-Mapping procedure as we have done previously , we would always end up :
    - with the same set of 24 [ 8-colors circular-ring-patterns ] ,
      - regardless of what our choices for the [ Anchor Pattern ] and the [ Core Pattern ] might be ;
      but notwithstanding the fact that the order-and-arrangement for the 24 patterns may vary .

Based on the above findings , it would seem that :
- each of 24 elements within the set of [ 24 Base Structural Patterns ] may be ranked on par with one-another .
- each of 24 elements within the set of [ 24 QSM-Patterns --- ALPHA Series ] may also be ranked on par with one-another .
And thus the notion of [ Quasi 24-Symmetry ] .

The next question here is simply this :
- For our Expansion-Mapping Process :
  - If we were to use a [ 8-colors circular-ring-pattern ] other than one of the [ 24 QSM-Patterns --- ALPHA Series ] ,
    
    do we still get a 24-elements set of [ 24 QSM-Patterns ] as a result ?
And we shall investigate this , next .