The Ultimate Assertion:
EVIDENCE OF SUPERNATURAL DESIGN IN THE DIVINE PROLOGUE
The opening verse of the Judaeo-Christian scriptures must be regarded as the most remarkable combination of words ever written - and for reasons that include the following:
1) The Hebrew words (reading right to left) may be alternatively, and fairly, read as a set of 7 natural numbers, thus:
Above the text we have the values assigned to the letters - following the historically attested scheme of alphabetic numeration. Recorded below are the totals which represent the values of the words (now interpreted as strings of numerals). Observe that the 4th (and central) word is not translated as it indicates here that the following noun is the definite and direct object of the transitive verb.
The verse total (ie the sum of the 7 word values) is 2701, or 37 x 73 (an interesting case of digit symmetry). It is worth observing that the number of letters in this first verse is 28 (2nd perfect number) - the first word having 6 (1st perfect number). All known perfect numbers are even and triangular; 6 (= 1+2+3) is the 3rd triangular, and 28 (=1+2+3+4+5+6+7) is the 7th.
2) There are a number of geometries associated with 2701 - the numerical expression of Genesis 1:1 - thus:
Most obviously, the 37 x 73 rectangle:
The 37 x (55 + 91)/2 trapezium:
The 73rd triangle:
3) Observe that the outline of each of the foregoing figures comprises 216, or 6 x 6 x 6 counters; assuming these to be unit cubes (as implied in Fig. 2), they may be stacked to create the unique cube depicted below:
This is the only cube whose superficial area is numerically equal its volume.
4) At this point in the proceedings something more needs to be said about the prime numbers, 37 and 73 - factors of Genesis 1:1. As it turns out, they are related geometrically in two distinct ways. The facts are presented in Fig. 6.
It follows, therefore, that there are yet further ways of representing this verse pictorially. Of particular interest is the 'star of stars', ie 73-as-hexagram formed from units of the related 37-as-hexagram, thus:
5) The matters presented above may be conveniently referred to as the macro features of the numerics of Genesis 1:1. A consideration of interactions occurring within the verse leads to the portrayal of a number of its many arresting micro features. Consider, for example, the following:
Words 6 and 7 (each a multiple of 37) total 703, or 19 x 37, and we find a geometrical relationship between these factors of a kind similar to that shared by 37 and 73, thus:
703 itself may assume different geometrical forms - all compatible with those representing the complete verse, thus:
This diagram reveals a natural division within the verse - the blue rectangle of 1998 units representing the sum of words 1 - 5, and the orange rectangle the sum of words 6 and 7.
Here, it is revealed that 703 is 37th triangular number (coloured orange) - the blue parallelogram representing the sum of the first 5 words.
The 37th triangle (value, 703) is here shown centred within the triangle representing the complete verse, viz 2701. Rotating the inner triangle through 180 degrees about the common centre (rendered black), we make a significant discovery:
Observe the geometrical compatibility here; also the fact that each of the 3 blue triangles has the value 666 - a number that Christians meet with elsewhere.
Finally under this heading, here is how 703 appears as a symmetrical hexagon within the 'star of stars' expression of Genesis 1:1:
It will be remembered that the 73 'star' units in this figure each represent 37-as-hexagram. The inner hexagon of 19 thus represent 703 (ie the sum of words 6 and 7), and the hexagonal ring of 18 (coloured purple), 666.
But further insights arise. For example, the sum of words 1 and 3 (ie 913 and 86) = 999 - as does the sum of words 2, 4 and 5 (ie 203, 401 and 395). These facts can now be incorporated into the Figs. 9 and 10 with telling effect, thus:
Again, it may be observed that when the first word, 913, is temporarily removed from the scene the remainder divide evenly as follows: 203 + 395 + 296 (representing words 2, 5 and 7) = 86 + 401 + 407 (representing words 3, 4 and 6) = 894. This result is best depicted within the foregoing trapezium - the difference (999 - 894) being 105 - another triangular number (the 14th). Here, then, is the revised version of Fig.15:
The involvement of the 14th triangle (105) has the added significance that its double, 210, is also triangular (the 20th). This is a rare phenomenon in the infinite series of triangles.
A further interesting observation concerns the respective totals of the odd and even words. Thus, 913 + 86 + 395 + 296 = 1690 = 10 x 169 = 10 x 8th hexagon; and 203 + 401 + 407 = 1011 = 3 x 8th hexagram. Clearly, these figures tessellate; one significant arrangement takes the form of the trefoil depicted below.
The total number of counters involved here is obviously 2701. So the list of symmetrical representations of the Bible's first verse is further, and remarkably, extended.
6) Because the triangular form of Genesis 1:1 has a centroid counter (a feature shared by only 1 in 3 triangular numbers) it is capable of uniting with an inverted copy of itself to yield a hexagon (by intersection) and a hexagram (by union). The following diagram illustrates the principle as it is applied to Fig.12 above:
It may be observed that the inner triangle (representing the sum of the two final words of the verse) is also a 'generator' triangle in this sense. A particularly significant outcome of this operation concerns the hexagon so generated with triangle inset. To clarify the discussion, these features are made the focus of attention in the following diagram.
The value of the triangle is of course known to be 703 (ie 407 + 296). That of the hexagon is 1801 - a direct consequence of the generating triangle being 2701.
At this point, let us look again at the Bible's opening Hebrew words - but now including the first of the second verse:
Clearly, read as a number this 8th word of Scripture is 302. Observe now the sequence of words 4 - 8 (within which the triangle 703 resides as words 6 + 7); they total 1801, ie the value of the hexagon derived from the self-intersection of 2701-as-triangle. This sequence of words confirms, therefore, what we actually see in the geometry. Again, it should not pass unnoticed that the sum of words 4 and 8 is also 703, and that the total for the now augmented first verse is 3003 - the 77th triangular number. It follows from this last observation that the 8th word functions as a perfect numerical 'plinth' for Genesis 1:1.
7) Further concerning 1801 - the hexagon inscribing 2701-as-triangle - observe that it is also generated within Genesis 1:1 as the sum of words 1, 3, 5 and 6 (ie 913 + 86 + 395 + 407), and has an outline of 144, or 12^2. As demonstrated in Figure 16, 913 (the Bible's first word) may be regarded as the sum of 2 or 3 triangles, thus: 913 = 703 + 210, or 703 + 105 + 105. The following diagram reiterates the basis of a significant development based on these facts:
The trapezia rendered orange each comprise 366 counters, ie (1801 - 703)/3. Observe that 703-as-triangle may be converted into 913 - and without loss of symmetry - by attaching 6 equal trapezia, each of value 35, in the manner shown below:
Clearly, the centre of the figure (representing the Bible's first verse) is dominated by a symmetrical representation of 913 (the Bible's first word), thus:
Significantly, each of the areas rendered orange comprises 296 counters - 296 being the last of the 7 words of Genesis 1:1. In total, therefore, they represent 888 counters. This happens to be the numerical reading of the name 'Jesus' from the Greek, nominative case ('Christ' being 1480, or 5 x 296). How appropriate then that He who is said to have created all things (eg John 1:3) is here seen to be associated with 'the earth' and to share a central position with the Bible's first word within the Bible's first verse!
8) Finally, let us take a look at the geometries of the individual words. As the following diagram reveals, these display the features of a set of jigsaw pieces when confined within the limits of the rectangular form of Genesis 1:1 (Fig.2), thus:
The height of each of these figures is 37 units. Observe that each of the short projecting spurs on words 1 - 5, together with their respective recesses, are multiples of 6 (words 6 and 7 are, of course, multiples of 37 - hence, spurless). Note also that word 8 follows the same pattern. Clearly, many multiples of 37 may be created by combining two or more interlocking pieces. In fact, in respect of Genesis 1:1, 23 of the possible 127 unique combinations are multiples of 37, whereas the expectation for a random set is only 3 or so.
9) So the big questions are, "Who is responsible for encapsulating so much mathematical detail into the 7 Hebrew words of this powerful and fundamental assertion? And why?" It should be clearly understood by those attempting to formulate rational answers to these questions that the testimony of the coordinated numerical geometries, briefly explored here, is considerably enhanced by the many other numerical wonders detailed at the website referenced below; further, that these features were 'set in stone' millennia before the invention of the Hebrew alphabetic numbering scheme!
Vernon Jenkins MSc