Verse-Cept duality
A significant characteristics of the QCD (see Glossary) is the multitude of complementary symmetries present among many elements and their related components. Often, this association among the said chps would lead to deeper ties between previously thought unrelated items.
Nowhere, do we see a more vivid example of such a mutual tie than the interlocking duality between the verses and cepts of the two pairs of chps and versors depicted in the Fig. The top and the bottom anti-parallel horizontal arrows manifest a type of inverse relationship between the pairs. From the top arrow, we notice that from chps 12 to 45 the total verse-count is 2914. The bottom (left-pointing) arrow reaffirms the previous count symmetrically where, the versors 14 to 29 span out 1245 cepts! The two pairs stretch over 34 chps and 16 versors respectively, which themselves form an O-link. The individual chps and versors within each pair have further tie-ins with each other as well. For instance, chps 12, 26, and 45 form an O-chain. Similarly, the versors 14 and 29 are linked via 68: the three chps 29, 68, and 14 form an OS-chain. Furthermore, chps 29, 69, 52, and 14 form a V-chain.
The chps individually interact across the pairs as illustrated via the vertical arrows. The left downward arrow points out the sum of the 12th ascension to the 29th one which is 86 × 17, itself a V-link. Moreover, this product is 1462 and that's the 1229th composite! The small curved arrow from 17 to 86 highlights another interesting aspect of 14 and 29. There are 29 OV's between the two, with a total of 1709 verses between them. The latter figure is also the sum of the 14 init-sets initializing the 29 init-chps! The digits of 17 and 86 themselves add up to 8 and 14 respectively leading to an O-link.
The vertical arrows on the right highlight the three chps 14, 52, and 45 forming a VC-chain. Also, the 14th OO is 45. The curly arrows show an additional reference which brings it all back to 14 and 45 again. The V-link from 14 and the O-link from 45 lead to 61 and 74 respectively, whose product is 4514!, similar to 1229 case encountered previously. Further, 74 V-links with 56, which itself S-links back to 45. It's noteworthy that from 1 to 14, the ascension chps and their verses add up to 1461! The 1461st composite is 1731, where 17 O-links with 31.
The interactions between the chps are not restricted to those shown in the Fig. In particular we note that 1786 = 47 × 38, where, 47 and 38 like 17 and 86 are V-linked and that 47 C-chains with 45 via 52. From 17 to 38 the ascension chps add up to 1786! And from 45 to 74 there are 1078 = 22 × 49 verses. Here we see the O-link between the 22 and 49. Looking at 1078 in terms of its constituents 10 and 78 gives rise to more correspondence. In chp 10, there are 49 GV's and 49, 78, and 22 form an OVO-loop. Since, 22 also V-links with 85 and the fact that norm 2285 occurs at 45:14 we may write down 4514 − 2285 = 2229. The tie between 22 and 29 is then reaffirmed by the fact that chps 22, 78, and 29 form a VC-chain.
The four chps involved in the Fig. are all init-chps. As such, some type of init-related references are expected. In particular, the init-counts of chps 14 and 29 are 1197 and 1672 respectively. The two add up to 2869, which is also the 2452nd composite. Here, we note the V-link of 69 with 29, and the OVO-chain of 24, 52, 14, and 28. Furthermore, 29 O-links with 68 and from 14 to 68 the 22 init-chps span 45 × 37 verses, where the last two form a V-link! Likewise, the init-chps from 12 to 45 and their verses add up to 2312, where 12 O-links with 23. Chp 12 has 111 verses, and from 12 to 111 the number of verses is 37 × 125. These two point back to 45 and 12 respectively, where the former V-links to 45 as before and the second one participates in the following product 19 × 125 = 2375 giving rise to the init-count of chp 12.
Since, 12 and 14 are initialed with ALR and 29 with ALM, it's possible to form a relationship with HM, which 45 is initialed with. The ALR chps have their L's and R's add up to 4389 = 19 × 231, where we notice the V-link between 43 and 89 plus the neat reference to 231 --the gematrical value of ALR-- and at the same time the HM counts of chp 45! The count of A's in the ALM chps add up to 8945, and 8945 − 4389 = 4556, where, the pairing of 45 with 56 is reproduced again. Finally, since, 8 and 74 O-link with 14 and 45 respectively, 4389 is also the verses spanned between them!
The parity association was briefly touched upon in conjunction with 1709 verses spanned in the 29 OV's from 17 to 86. The chps corresponding to these verses themselves exhibit another very interesting affinity with the init-chps and the normal verses. The 29 chps add up to 1402, and that is the count of the normal verses at 35:45 corresponding to the norm 2095. Here, we note the V-link between 35 and 45, plus the intricate connections to the HM init-chps. The norm 2095 happens to be the count of init-letters from 40 to 45!