Verse-Ascension symmetry
Symmetries are of fundamental importance in general and as such play central roles in many areas and disciplines. As a result, their frequent occurrences in the QCD (see Glossary) is not unexpected and it reaffirms their significance as important foundations to draw upon further.
The top portion of the diagram highlights the mutual symmetry as we traverse from 11 to 21, spanning 1122 verses, in sharp contrast to the 1121 ascensions spanned from 11 to 22! Chp 22 is also of ord 11. Likewise, the bottom part of the figure points to a similar phenomenon, but, the symmetry involved between the verses and the ascensions is slightly more pronounced and clear cut. The two pairs of chps (25, 76) and (27, 67) undergo a split and join phase, during which a complete role reversal is achieved. The verses spanned in the first pair, 2767, splits resulting in the second pair, which in turn, regroup and thus recreate the first pair through its spanned ascensions 2576. The interaction between the two pairs, consequently highlights an exact verse/ascension symmetry that's ordinarily hidden among such far out and disparate elements.
The top and the bottom segments further interact as shown with various dotted arrows. Versor 22 C-links with 76 and the intermediate node 77 centrally links to 21, 25 and 67 with types C, V and S respectively. Furthermore, from versor 11 to 25 there are 19 × 65 cepts spanned across, where the latter S-links back to 25. Additionally, 11 T-links with 67 and 76 T-links back to 25. Also, 67 is the 19th prime and CGV. Chp 76 also links with 27 indirectly via the init-counts; from 1 to 76 the tux counts add up to 27 × 121, where we notice the "TS"-count in chp 27. The relationship between the two chps is further strengthened by the fact that 76 V-links with 31 and from 31 to 76 the ascensions add up to 2746, where we see the OT-loop between 27 and 46. Chps 25 and 67 have indirect tie-in via intermediaries as the former V-links with 84 and the latter O-links with 39 and from 39 to 84 the ascensions add up to 2567!
Chps 76, 31, and 34 form a V-chain and 34 × 76 = 2584, reinforcing the V-link between 25 and 84. Besides, 21, 34 and 65 form a three point P-chain. Chp 27 is of ord 13 and 25 V-links with 77 and from 27 to 77 the verses spanned between them admit 2513. The several types of links that mediate between the pairs illustrate the complexity and intricacy behind these diverse elements. For instance, let's consider 25 and its C-link with 73. The base verses spanned from 25 to 73 add up to 91 × 15, V-linking 91 with 15, and the corresponding chps add up to 2286, where we notice a hint at 2 and its V-link with 286. The connection with 2 and 286 is especially significant, since, the latter is the maximum base verse, and from 25 to 286 there are 73 chps in the corresponding isotupes that add up to 2984, and this is the sum of the 73 cepts of versor 25!!! and simultaneously, the number of cepts from 19 to 77!
The product terms 91 and 15 derived in conjunction with 25, themselves link with 29, where they participate in the three point (15, 29, 91) OS-chain. Accordingly, 29 correlates back to 25 as there are 29 isotupes between base verses 25 and 69, consisting of 40 chps, and BV sum 19 × 68. The three nodes 29, 69 and 40 form a VO-chain and 68 also O-links with 29. The norm at the end of chp 73 is 2669 and this is also the sum of the 69 chps in isotupes corresponding to BV's from 29 to 286! It's interesting that 29 forms a CV-loop with 69 and that its cept sum also happens to be 2669!