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Gematria

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REVELATION

Number Art


Of course, it was inevitable that the subject of concealed meaning in the Bible would have to address numbers sooner or later. Not the book of Numbers, the fourth book of the Torah, but numerical concepts and properties. The clearest hint of this aspect came in the form of the 666 sequence associated with the base of the crucifix in the first page. In this page, we shall investigate some number-based properties of the Genesis Square, which will add to our understanding in at least the following ways:
  • by bolstering many of our earlier linguistic findings,
  • by adding to our understanding of divers parts of the Bible,
  • by demonstrating that the Author was in possession of mathematical knowledge far beyond that of the contemporary civilisations.

The next view of the G1 Square will show one particular type of number substitution that may be used for Hebrew letters. The thought of letters substituted by numbers may seem an alien concept in the modern world, in which our exposure to letters as numbers is normally limited to Roman numerals. Yet both Hebrew and Greek support sophisticated systems of numerology. We need to be aware that letters of the Hebrew alphabet have three characteristic values, as shown in this next chart:


The three categories of value may be described as follows:
  1. A position, which we shall describe as the letter's ordinal value,
  2. A standard value, which falls into one of three ranges: 1, 2, .. , 9 (nine values); 10, 20, .. , 90 (nine more values); and 100, 200, 300 and 400, assuming the same order as the ordinals,
  3. A reduced value, which is the non-zero part of the standard value. These are always in the range 1 to 9, so up to three letters may share the same reduced value (eg letters beyt (2), kaf (20) and reysh (200) all take a reduced value of 2.
In this page, we shall concentrate almost exclusively on the reduced values of letters. In other literature, the reduced value may be described as qatan, which is just the Hebrew word for small.

It is widely accepted (but impossible to prove) that gematria was not practiced until perhaps a thousand years after the Torah was acquired, and there is an ongoing debate as to whether it is a discovered artefact or human invention. But given that Hebrew has no specialised digits, equivalent to our 1, 2, 3 ..etc, the eventual use of letters to represent numbers was almost inevitable. As to whether the link between letters and numbers is discovered and, therefore, a pre-ordained characteristic of Hebrew, we may let subsequent results speak for themselves. Here is the modified Square, in which each letter of the G1 Genesis Square has been replaced with its reduced gematria value:

Close examination shows that there are only three linear sequences of three identical numbers (triples). One of them is the 666 that forms the vertical part of the crucifix. The others are a 111 and a 444, both indicated above by blue shading. These two linear sequences, along with side-2 of the Square, define a 450 right-angle triangle. So it is apposite that the two sides that contain the right-angle are formed entirely of 1s and 4s. Since 1.41414 is a very good approximation to 1/Sine(450), which is also the square root of 2 (to within about 0.015%). (The true value of 1/Sine(450) to six figures is 1.41421).

Next the three triples may be combined to good effect, thus:

6 1 4
6 1 4
6 1 4
.. with the result that there are three occurrences of 614 stacked one upon another. Then, notice that there is a triangle in the lower corner that consists of only the digits 6, 1 and 4. It is also evident that, if we trace around this smaller triangle counter-clockwise starting at either of the sixes, we obtain 614614. So we ought to wonder why the number 614 seems so highly favoured and, in particular, why it is wrapped around the base of the crucifix. The answer could not be more surprising, or significant.

Ask Christians how many commandments there are in the Older Testament and the most popular answer will be Ten Commandments, as given to Moses inscribed on two tablets of stone (we saw these tablets in the first page). Ask a Jew the same question, and the most likely answer will be 613. This latter number is deeply ingrained in the Jewish psyche, because it is the number of laws to be found in the Torah that apply specifically to the children of Israel, the chosen people of God. Many of the 613 are to do with ritual cleanliness, priestly duties and Temple sacrifice. Yet it is not 613 that we find emphasised in the Genesis Square. There is not a single occurrence of 613 to be seen. What we find instead is multiple copies 614. Why is this?

The answer is directly related to something that Christ said while hanging from the cross. It is written: Jesus said, "Father, forgive them; for they know not what they do" [Luke 23:34]; and this is undoubtedly the fulfilment of His earlier command: "You have heard that it was said 'You shall love your neighbour and hate your enemy'. But I say to you, Love your enemies and pray for those who persecute you". [Matthew 5:43-44]. Examination of the Christian Gospels shows that, while Jesus often restates commands that are found in the Torah, this is the only totally new command he gave to his followers. From the time of the crucifixion, the 613 given at Sinai have become 614, and the scriptures are fulfilled, as prophesied in the Genesis Square.

As always, every genuine feature we discover is found to have unexpected depth of meaning. In this case, the 614614 sequence at the foot of the crucifix combines with the other two triples in an altogether different way. One that directs us to a later part of the Torah. There is a passage near the end of Deuteronomy that has always eluded explanation. It reads:
If they were wise they would understand this,
They would discern their latter end!
How should one chase a thousand and two put ten thousand to flight,
unless their Rock had sold them, and the Lord had given them up?

[Deuteronomy 32:29-30]

How can two put ten thousand to flight? Here is how their Rock reveals the ten thousand. The product of the two upper triples is this,

111 x 444 = 49284

(This is, for straightforward mathematical reasons, the same as 222 x 222)

Then, if we multiply consecutive pairs of digits from 614614 we get:

61 x 46 x 14 = 39284


It is plain to see that these two results differ by exactly ten thousand. Far from being sold by their Rock, His followers are redeemed by His sacrifice for this, the 614th commandment, is the way of the Lord.

Nor are we finished with the 45-degree triangle bounded by the 111 and 444 triples. For one thing, notice that the line that bisects the right-angle between them, also divides the whole Square into equal halves. This is yet another example of the rich symmetry designed into the first 64 letters of the Torah. But the next substantive revelation of this triangle must wait until later, when we will have explored another avenue.


Now look at this next copy of the earlier Square of reduced values, this time with different squares highlighted.

A few words of explanation are in order here. Although the Square in this illustration is an 8 x 8 matrix, each defined 'side' consists of only seven squares. This is because each corner square is the beginning of a side and cannot also belong to the adjacent side. Each side of the square is coloured either pink or blue, but the corner colours are modified by the overlapping diagonal. For example, a blue that is overlapped by a yellow is converted to green, like mixing paints in a pallet.

Alongside each side of the Square, there is a straight bracket and a number (15, 17, 22 and 28). These numbers are the sums of the seven squares in that side. The sums of the diagonals (one vertical = 36, one horizontal = 37) include all eight small squares, and are pointed to by the arrows that extend beyond the appropriate diagonal.

Now, the first thing to notice is that the squares corresponding to the vertical part of the crucifix are again confirmed as a 666 group. The link between this number and the Book of Revelation description of the beast rising out of the sea has already been described; but we shall find that there are many other equally important functions of this number. For example, combining the two diagonals by multiplication, we get 36 x 37 = 1332; where 1332 = 666 x 2. Note the emphasis here on the doubling of 666; this Square of numbers repeatedly insinuates the concepts of double and half, just as we saw in the G1 Square of letters and its several symmetries. A less striking example is that the sum 6+6+6 (ie 18) is exactly half of the full sum of the diagonal. This does of course mean that we could obtain 666 directly by multiplying this sum by the other diagonal (ie 18 x 37 = 666). For a moment we shall refrain from this focus on the number 666.

For now, we turn to its close partner, 616, which is known to have appeared in some early manuscripts of Revelation, where all modern prints now show 666. The relationship between these two numbers is also the subject of ongoing debate, as to which is correct according to the intentions of the author of Revelation. In this website, it will become increasingly clear that neither number is wrong. Both numbers are necessary to fulfil the many ways they cooperate with one-another.

Consider next the sums of the values in sides 3 and 4 of the Square, which are 22 and 28. Their product is 22 x 28 = 616. The next thing to recognise about the numbers 22 and 28 is that they are the number of letters in (i) the Hebrew alphabet, and (ii) the first verse of Genesis. This pair of relationships between letters and numbers is no doubt given as a pre-cursor to more elaborate things to come.

So far so good, but note that side-3 leads to the 22nd letter of Verse 1, and side-4 terminates with the 28th letter. So the same factors of 616 are evident here too. This may seem slightly contrived, however, so it is important that the letters in squares 22 and 28 are special for another reason. Earlier, when we found that Bethlehem (and head) are encoded in Genesis 1:1, we were making use of the fact that Verse 1 uses only 11 different letters, out of 22 (a half, naturally). But what we found there involved only 9 out of the 11. In fact, the next two first occurrences of letters are the very ones that we find in squares 22 and 28.

Next, we may do something similar with the sums of the values in sides-1 and 2. Note that it is these two sides that are bisected by the word (nahar) meaning river. This is the river that flows to Ahava (Ezra 8:15) - a non-Hebrew word that is pronounced like the Hebrew word for 'love'. In our Square of reduced values, the letters of nahar appear as a sequence 255 (reading vertically from the top corner). So it is rather significant that the product of the two sides it bisects is 15 x 17 = 255. And, incidentally, the standard gematria of nahar really is two hundred and fifty-five, because its three letters have full values: 50, 5 and 200.

The next numeric feature is something of a diversion, but also a prelude to later findings. This will continue to show us that the Author of the Torah has a grasp of mathematics beyond anything known to man in Older Testament times. You will see what I mean if we take the product of all four sides, thus:

15 x 17 x 22 x 28 = 157080

At first sight, this number does not look particularly special. That is, until we realise that it presents the digits of to within 0.00023%. Which is half (again) of the number Pi, the ratio of every circle's circumference to its diameter. First we are led to recognise a square, then a triangle, and now the number that defines all circles.

Does the Author expect us to recognise Pi here? Do circles, or cyclic concepts have a special significance? After all, using all four sides does involve a complete perimeter - a closed cycle. Or is this just a chance event? As always, there will be confirmation for the things that are intended. However, they must wait until a later page, since they do not contribute directly to the primary aim, which is to provide additional support for the linguistic structures we have discovered in the Genesis Square. And we may content ourselves for now with having found two links between the numbers 616 and 666, as well as a corresponding link between two adjacent sides of the Square and the 'river' that flows between them.


Already, we have seen the first verse of Genesis (and part of the second verse) functioning in many remarkable ways, over and above their literal meaning. What should now be clear is that every time we encounter a new feature, it serves not only to reveal something new and surprising (diversity), but also to support and verify one or more of the features we have found previously (parallelism). The next new characteristic is no exception.

This time we stick with the reduced letter values of the first verse only, but with particular recogntion for the fact there are exactly 28 of them. The G1 Square shows clearly that 28 may be divided into four lots of seven, with surprising results. But, of course 28 may also be divided into seven lots of four. The next thing we do is to create a 4x7 array of reduced values, by stacking up consecutive segments of four of them. Noting that the first four values are 2213, the next four are 1422 and so on, we arrange the seven segments as follows:


In this matrix, the values in a given column are not adjacent to one another in the plain text. Each is separated from the next by three intervening values. At the foot of each column is the sum of its seven values, and these sums have a remarkable property. Notice that three of them (ie 14, 21 and 28) are recognisable word break positions. The 14th letter is the end of the 3rd word; the 21st letter is the end of the 5th word; and the 28th letter is the end of the 7th word and of the verse. So, by this standard the total of 19 at first looks like an anomaly. But it is not an anomaly, it has a most important function to perform which is related to something we found at the end of the first page. The number 19 tells us to force a word-break after the 19th letter. When we do so, the word HaShamayim, meaning 'the heavens' is split into the three letters of HaShem and the two letters of yam. What we found in the previous page is that the vertical of the crucifix (which we now know to be a 666 sequence) rises out of the yam that is 'sea', just as described at Revelation 13:1. Therefore, we now have coded confirmation for the earlier assumption that the fifth word is meant to be split at exactly that position. But we also have a further consequence that may not have been foreseen.

The word HaShem is not just a meaningless collection of letters, but has a profound significance. The literal meaning of HaShem is 'The Name', and it is the expression that Orthodox Jews use to refer to the ineffable name of God. This name is , the four-letter name which was revealed first to Moses at the burning bush. So it is additionally significant that the letters of the expression HaShem (not the Name itself), read in reverse spell Moshe, which is Moses.


Now consider this next realisation of the same matrix.

We begin by noting that the first verse of Genesis contains nine letters that have a reduced value of 1. What is immediately apparent in this matrix is that eight of those 1s (shaded) have assembled themselves into a large part of yet another 450, right-angle triangle. Also, there is a complete row containing a 1-4-1-4 sequence, that comes from the left-hand corner of the G1 Square. Note that only one of these four digits comes from the two linear triples we examined earlier. The significance of these digits is, to repeat, that 1.414 is a very good approximation to 1/Sine(450). What we see here is clearly, but rather loosely, related to formal mathematics. Perhaps a better description would be number art, but this is number art that fully recognises the mathematics of our world. The Designer is not aiming to emphasise His own cleverness by extreme accuracy, so much as helping us to recognise His immensely complex handiwork.

So far, so good; the 450 triangle has alerted us to the presence of a 1414 sequence. Next, we look again at the same matrix (for the third time) in a rather different way, after noting that there are lots of other 1s and 4s close to each another. Here is one possible realisation:

By following a sequence: 1414141414, the result is an alignment that could be interpreted as a serpent, perhaps the one that tempted Eve with cunning words in the Garden of Eden. If so, this would not be the first time the G1 Square has alluded to the later description of the garden. And in this case, the initial hint will guide us much further. We begin by noting that the original Hebrew uses an ambiguous word to describe the serpent. The word is (arum), meaning subtle or cunning. Then a little later the same word (ie the same four letters, but with different pronunciation) is used again, but differently. In its second use that same word means naked. After eating of the forbidden fruit, Adam and Eve realise that they are arom. So, perhaps we should not be too surprised to find that this 4x7 matrix is capable of a fourth interpretation, but using the same technique, thus:

The intention is evidently to represent a human phallus - a clear and powerful symbol of nakedness. Thus, one word with two meanings is matched by one matrix also having two interpretations. And once more we have been shown that the earliest parts of the Torah contain the seeds for later elaboration into familiar Bible stories, like preliminary design sketches. It is worth noting that the same matrix has given us three powerful images that all relate to aspects of creation in contrasting ways. Notice also that the primary focus is on the number 1, and that every one of them has been utilised.

Mark well the matrices that depict an incomplete triangle and a serpent. These two shapes will be seen again in several different contexts, with stunning significance.


This latest set of matrices is particularly rich in metaphor. So for the first time I shall go beyond simply saying that this is significant. Instead I shall venture an interpretation that may have some relevance to this website.

Consider first the phallus and its involvement in procreation. The roles of man and woman are clear and distinct. From the woman's point of view she makes the decision to allow the other into herself, with the knowledge that children may result, along with the long-term commitment that entails. The whole point is to raise children to become decent, effective, independent adults who can play a useful part in the human family. We achieve this in many ways, but an important one is to give the growing child some freedom to explore, to experiment and to grow.

Now consider the parallel of social intercourse as the exchange of ideas. In this, there are no fixed male and female roles; psychologically we are all hermaphrodite. Any one of us may put forward ideas or receive them. As recipients, we take the female role and a decision must be made, consciously or otherwise, whether to allow the new idea into our world view. We have the option to reject an idea outright, or we may receive it and help it to develop. If, and only if, the idea is viable, it may take root and grow. But it will need lots of nurture in the early stages - space to explore and experiment. Naturally, many ideas have only modest potential, whereas others are destined to outgrow their parents and change the world.

Now the serpent was more subtle than any beast of the field. He succeeded in sowing the seeds of subversion, so that the first man and woman were ejected from paradise. Therefore, we are right to be wary of strange new ideas. But it is sometimes reasonable, with due caution, to take a calculated risk. Humanity grows and benefits from sharing new knowledge. This is an important part of our collective role; not just to be created, but to share in Creation, as partners with God in his image. The alternative metaphors of serpent and phallus, as illustrations, are not accidental. They help us to interpret the plain text.


Given the amount of extra material available, this page could have been a great deal longer than it is. The first verse of Genesis alone is capable of demonstrating two further approximations to Pi (three if you include the results of one Vernon Jenkins who has done important work using standard gematria values; see The Other Bible Code). Then there are two more ways to generate the square root of 2, with astonishing accuracy. But I am acutely aware that by concentrating for too long on numerical characteristics of the Genesis Square, I risk losing a valued section of my audience. I believe that the length of this detour is the minimum necessary to demonstrate that everything in the Genesis Square is deliberately designed. What matters most is not that so many features are present, but that they all work together in consistent ways. Above all, everything we examined in this page works in addition to everything we saw in the page on linguistic features. Clearly, the intellect capable of conceiving such a complex yet self-consistent network of features is far beyond any human mind. There is a belief in Orthodox Judaism that Creation did not just produce our physical existence. That event was preceded by the creation of the Hebrew alphabet with all its intrinsic characteristics, and by the Torah which is the blueprint for creation. What other explanation could possibly account for the existence of the elaborate structures seen here?

But let us not understate the magnitude of the design task we are witnessing. There is yet a great deal more still to be examined.




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