VENCLOSURE

Bounding IUV's
Bounding IUV's

In the leftmost diagram, the lower pentagon shows the five chapters (clockwise, starting and ending with 13) where the edges pairwise-connect chapters to their verses. This is the longest sequence of such chapters. The top arrows relate 24 to the upper nodes of the pentagon via ords (see Glossary). The P arrow links 89 to its index, 24. Additionally, three nodes at the bottom form a separate VVU loop.

The middle diagram, similarly, depicts a sequence of four nodes (the lower square, starting and ending with 22) where the edges pairwise-connect chapters with their verses. The top triangle links 49 with vertices 22 and 78 via ords (U-arrows). Interestingly, from 22 to 78 there are 57 chapters and 3117 verses, where we observe half the chapters contain half the verses: (57 = 114 / 2, 3117 = 6234 / 2)! Moreover, 31 is of ord 17 and 62 is of ord 34. From 49 to 78 there are 1100 = 100 × 11 verses; a reference to 100 and its verses 11. If we chain these two numbers we get 10011, which is 19 in binary!

Chapter 22 consists of 50 grame and 28 free verses, relating chapter 50 to its ord, 28. Furthermore, 50 ± 22 = 72, 28; pointing to chapter 72 and its 28 verses.

The rightmost diagram is the smallest; consisting of only a pair of chapters, 36 and 83, where they are mutual verses of each other. Pairs of nodes from the left and the middle diagrams, (13, 40) and (22, 30), highlight additional correspondence between the two sets: we note 40 = 13 + 27, where 27 is of ord 13, and from 13 to 40 there are 2511 = 27 × 93 verses, pointing back to 27 and its 93 verses. From 22 to 30, there are 874 = 19 × 46 verses, and 46 is of ord 27.