THE STAR OF ISRAEL

Introduction

The work of shCherbak is particularly apposite in this context. Predicated upon the nucleon counts for distinct groupings of the 20 canonical amino acids through their representation in the 64 codons of the standard model, his criterion of ‘divisibility by 037’ is axiomatic to the underlying organising principles inherent in the genetic code. Many of the numerical features symmetrically depicted within the Star of Israel matrix are dependent on this same criterion, i.e. ‘divisibility by 037’, as may be observed in Part 1 of this series.

Boulay, too, plays a vital part in these proceedings, his proline hypothesis bringing the number of atoms in the 64 codons up to a multiple of 37. Thus, in commencing our analysis, a discussion, and resolution, of the ‘proline problem’ is in order.</p>

The proline problem

It transpires that 19 of the 20 canonical amino acids comply with the generic formula:

Here, the lower component represents the so-called standard block – designated B. The variety in amino acid characteristics derives entirely from R – the unique side chain. Thus, for 19 of the canonical amino acids the nucleon count for the standard block is 74. The one exception to this general rule is proline, which has one less hydrogen bonded to the nitrogen of its standard block. In order to harmonise the nucleon counts for the standard blocks of all 20 canonical amino acids, and thereby to bring into play the extraordinary numerical phenomena that eventuate, shCherbak suggests the moving of a hydrogen atom from R to B – thus standardising both atom and nucleon counts for B but decreasing those of R (respectively, 9 and 42) each by one. On the other hand, Boulay posits a neutron from R functioning as a proton as it connects to the standard block; the result – an extra proton (and thus a hydrogen atom) in B and one fewer neutrons in R. There follows a summary of these proceedings:

Boulay defends the validity of this manoeuvre as follows:

“Without these two special countings, the very numerous and organised phenomena presented by shCherbak and Boulay disappear. (But they) are much too numerous and structured to be destroyed by an apparent contradiction of chemical arrangement.”

Number of atoms in the 64 codons

As a result of Boulay’s proline hypothesis, the following Table is prepared:

It will be observed that the 64 codons return a total atom count of 1147 = 37 x 31. This number occurs symmetrically within the Star of Israel matrix on no less than three occasions:

The four triangular segments forming the first diagonal axis of the Star sum to 1147 = 37 x 31, as at Figure 1(a)

The four triangular segments forming the second diagonal axis of the Star also sum to 1147, as at Figure 1(b)

The four triangular spurs at Figure 1(c) offer a third symmetrical sum of 1147

Having observed the number of atoms in the 64 codon table of the amino acids to be 1147 – a number that meets shCherbak’s axiom of ‘divisibility by 037’ – after the application of Boulay’s proline hypothesis, and having observed the symmetrical composition of this same number on no less than three occasions from within the Star of Israel matrix, we now proceed to the standard blocks of the 20 canonical amino acids.

Nucleons in the standard blocks of the 20 canonical amino acids

Following Boulay’s resolution of the proline problem, the nucleons of the 20 canonical amino acids can now be separated into those in the standard blocks and those in the side chains, as per the following Table:

It will be observed that the standard blocks of the 20 canonical amino acids return a total nucleon count of 1480 = 37 x 40. This number occurs symmetrically within the Star of Israel matrix in a most impressive manner:

The six triangles forming the internal hexagon of the Star sum to 1480 = 37 x 40, the same sum as that for the nucleons in the standard blocks of the 20 canonical amino acids

1480 is the value of the Lord’s title, Christ (CristoV)

Having established the number of nucleons in the bases of the 20 canonical amino acids to sum to 1480, and having observed the symmetrical manner in which this same number is arrayed within the Star of Israel matrix, we turn our attention now to aspects concerning the nucleon counts for the purines and the pyrimidines.

The purine and pyrimidine codon groups

It has been established that the 64 DNA codons divide into two groups – those that begin with A or G, and those that begin with C or T. These groups are referred to as the purines (coloured blue in the following Table) and the pyrimidines (coloured orange), respectively:

Having thus made a division between the purines and the pyrimidines, we now proceed to analyse their respective data, beginning with the purines.

The 12 amino acids of the purine codon groups

The 32 purine codons break into eight groups from which we extract 12 amino acids for analysis:

The nucleons in the side chains of the purines at Table 5 sum to 629 = 37 x 17

The nucleons in the standard blocks of the purines at Table 5 sum to 888 = 37 x 24

The total nucleons for the purines at Table 5 sum to 1517 = 37 x 41

These respective nucleon count numbers appear in a compellingly symmetrical manner within the Star of Israel matrix:

The three CVs forming part of the vertical axis sum to 629 = 37 x 17, as at Figure 3(a)

The four CVs forming the vertical axis sum to 888 = 37 x 24, as at Figure 3(b)

629 is seen to be a subset of 888, as at Figure 3(c)

888 is the CV of the Lord’s name, Jesus (IhsouV)

These same numbers featured at Figure 3 appear in yet another symmetrical form within the Star of Israel matrix:

The three CVs at Figure 4(a) are the same as those at Figure 3(a), their sum of 629 = 37 x 17

The three triangular spurs pointing towards the base sum to 888 = 37 x 24, as at Figure 4(b); 888 also being the value of the Lord’s name, Jesus (IhsouV)

629 and 888 are seen to blend within the Star, sharing a common CV of 156, as at Figure 4(c)

Having established the symmetry of the nucleon counts for both the side chains and the standard blocks of the purines within the Star of Israel matrix, we now proceed to the pyrimidines.

The 11 amino acids of the pyrimidine codon groups

The 32 pyrimidine codons break into eight groups from which we extract 11 amino acids for analysis:

The nucleons in the side chains of the pyrimidines at Table 6 sum to 814 = 37 x 22

The nucleons in the standard blocks of the pyrimidines at Table 6 sum to 814 = 37 x 22

The number of nucleons for both the side chains and the standard blocks at Table 6 therefore match; both sum to 814

The total nucleons for the pyrimidines at Table 6 sum to 1628 = 37 x 44

These respective nucleon count numbers, being the same, appear symmetrically within the Star of Israel matrix:

The three triangular spurs pointing towards the apex sum to 814 = 37 x 22

This number represents the nucleons in both the side chains and the standard blocks of the 11 amino acids pertaining to the pyrimidines

Nucleons in the side chains of the purines and the pyrimidines

As observed at Table 5 and Table 6, the nucleons in the side chains of the purines and the pyrimidines sum to 629 and 814, respectively. These numbers appear in a fascinating symmetrical manner within the Star of Israel matrix:

The three triangular spurs – coloured gold – sum to 814 = 37 x 22; these represent the number of nucleons in the side chains of the pyrimidines

The three CVs from the vertical axis – coloured blue – sum to 629 = 37 x 17; these represent the number of nucleons in the side chains of the purines

It will be observed that the four CVs forming the vertical axis – 259, 466, 7, and 156 - sum to 888 = 37 x 24

The remaining two CVs – 501 and 54 – sum to 555 = 37 x 15

The total nucleons in the side chains of both the purines and the pyrimidines sum to 1443 = 37 x 39

It will be observed that the number 1443 adumbrates a stylised inverse Cross within the Star matrix

Nucleons in the standard blocks of the purines and the pyrimidines

From Table 5 and Table 6 we once more observe that the nucleons in the standard blocks of the purines and the pyrimidines sum to 888 and 814, respectively. These numbers appear in a most convincing fashion within the Star of Israel matrix:

The three triangular spurs pointing towards the apex – coloured gold – sum to 814 = 37 x 22; these represent the number of nucleons in the standard blocks of the pyrimidines

The three triangular spurs pointing towards the base – coloured blue – sum to 888 = 37 x 24; these represent the number of nucleons in the standard blocks of the purines

The total nucleons in the standard blocks of both the purines and the pyrimidines sum to 1702 = 37 x 46

The exquisite symmetry of this feature is not its only symmetrical representation within the Star, as evidenced by the following:

The four CVs forming the vertical axis sum to 888 = 37 x 24; these represent the number of nucleons in the standard blocks of the purines

The three triangular spurs pointing to the apex sum to 814 = 37 x 22; these represent the number of nucleons in the standard blocks of the pyrimidines

814 and 888 are seen to blend within the Star, sharing a common CV of 259

It will be observed that this feature once again adumbrates a stylised inverse Cross within the Star

Clearly, Figure 8 reworks Figure 6 into a blended representation of 814 and 888. Therefore, the same six CVs depicted in both Figures can be used to represent:

(i) The nucleon counts for the side chains of both the purines and the pyrimidines – 629 and 814, respectively

(ii) The nucleon counts for the standard blocks of both the purines and the pyrimidines – 888 and 814, respectively

This feature exemplifies in astonishing fashion the coincidences between some of the major patterns in the genetic code found by shCherbak, and those pertaining to symmetrical formations embodied within the Star of Israel matrix. Both numerical patterns pertaining to the purines and the pyrimidines at Figure 6 and Figure 8 – written into Nature by their constituent nucleons, and into the CVs of the Star of Israel by gematria - are dependent on shCherbak’s criterion of ‘divisibility by 037’.

Before closing this analysis, a few more patterns are worth noting. These correspond to discrete symmetrical arrangements of the 64 codon table and their numerical analogues in the Star of Israel matrix, also symmetrically disposed.

2294 nucleons in the standard blocks:

The 64 codon table can be symmetrically highlighted to produce arresting visuals, which follow:

Table 7(a) consists of amino acids beginning with AA, CC, GG, TT, AC, CA, GT, and TG, the number of nucleons in the standard blocks for the 32 codons represented sums to 2294 = 37 x 62

Note that one of the codons – TGA – is a stop codon

Table 7(b) consists of amino acids with either G or T in medial position; again, the number of nucleons in the standard blocks for the 32 codons represented sums to 2294 = 37 x 62

Table 7(c) consists of amino acids with either G or C in medial position; this is the same total as before

Table 7(d) consists of amino acids beginning with AA, AT, GA, GT, TG, TC, CG, and CC; the same total as before

Table 7(e) consists of amino acids beginning with AG, AC, GA, GT, TG, TC, CA, and CT; the total, as before

2294 within the Star of Israel

The number 2294 appears symmetrically within the Star on two occasions:

The large triangle at Figure 9(a) sums to 2294 = 37 x 62

The two diagonal axes at Figure 9(b) also sum to 2294

These two symmetrical representations of 2294 within the Star harmonise with the five symmetrical representations of this same number – as depicted at Table 7 - in the 64 codon table

2294 is the value of the Bible’s shortest, and central, chapter; Psalm 117 consisting of just the two verses (as evidenced here)

The final patterns are now prepared for our analysis.

2368 nucleons in the standard blocks:

The 64 codon table reveals another relevant set of patterns by symmetry:

Table 8(a) consists of amino acids beginning with either A or C; the number of nucleons in the standard blocks for the 32 codons represented sums to 2368 = 37 x 64; 2368 is the CV of the Lord’s name, Jesus Christ (IhsouV CristoV)

Table 8(b) consists of amino acids constituting the purines; the number of nucleons in the standard blocks of the 32 purine codons sums to 2368

Table 8(c) consists of amino acids with either T or C in medial position; the number of nucleons in the standard blocks for the 32 codons again sums to 2368

Table 8(d) consists of amino acids beginning with AA, GG, TT, CC, AG, GA, CT, and TC; the number of nucleons in the standard blocks for the 32 codons, 2368

Table 8(e) consists of amino acids beginning with AT, AC, GA, GG, TT, TC, CA, and CG; the number of nucleons in the standard blocks for the 32 codons, 2368

Table 8(f) consists of amino acids beginning with either G or C; the number of nucleons in the standard blocks for the 32 codons, 2368

The large triangle at Figure 10 sums to 2368 = 37 x 64

2368 is the CV of the Lord’s name, Jesus Christ (IhsouV CristoV)

The CV of 888 for Jesus (IhsouV) is represented in gold, and the CV of 1480 for Christ (CristoV) is represented in blue

The symmetrical representation of 2368 within the Star harmonises with the six symmetrical representations of this same number – as depicted at Table 8 – in the 64 codon table

Summary

By using the same criterion of ‘divisibility by 037’ featured so prominently in the work of shCherbak, the Star of Israel has been observed to reproduce numerical patterns previously found and described from within the genetic code by the former. Furthermore, these numerical patterns have been observed to be symmetrically determined within the Star matrix.

Conclusion

That some of the same numerical patterns that exist within the genetic code should find their counterpart within the Star of Israel should give us pause for thought. This latter object, created from the CVs associated with the twelve sons/tribes of Israel, and organised according to principles laid out in the last five verses of Ezekiel’s eponymous prophetic book, serves as an effective witness to phenomena previously established at this website. Above all, the primacy of the number 37 cannot be understated in these proceedings.

In his recent book, Is God a Mathematician?, astrophysicist and author Mario Livio explores the question of how it is that mathematics has evolved over the last few thousand years to so accurately describe and predict nearly all aspects of the physical world in which we live. In casting his learned eye over the subject, one domain that appears to have escaped his attention is the burgeoning field of bioinformatics, although he does muse on the possibility of its having a mathematical underpinning:

The astounding success of the physical sciences in discovering mathematical laws that govern the behavior of the cosmos at large raised the inevitable question of whether or not similar principles might also underlie biological, social, or economic processes. Is mathematics only the language of nature, mathematicians wondered, or is it also the language of human nature?

(2009:122)

Another field that we might consider adding to the discussion is that of biblical gematria. The parallels between the gematria-based Star of Israel and the nucleon counts of the 20 canonical amino acids – contextualised by the dual criteria of symmetry and ‘divisibility by 037’ – offer a striking demonstration of how rudimentary numerical phenomena appear to permeate the very fabric of reality. For us this should occasion no great surprise, as all are the handiwork of the single Creator, the God of the Judeo-Christian Scriptures.

Stephen Coneglan BA

2010-06-18