A Frozen Miracle

by Bill Downie


Genesis. 1:1-2 (NIV)
1. In the beginning God created the heavens and the earth. 2. Now the earth was formless and empty, darkness was over the surface of the deep and the Spirit of God was hovering over the waters.

The figure shown above, which I call the Creation snowflake, is the third generation of an infinite series of numerical snowflakes that grow towards a well-known fractal called the Koch snowflake. Because the Creation snowflake is constructed from discrete units, its main structural properties can be described by a set of numbers. Incredibly, these numbers feature strongly in the gematria of the Trinity. In particular, the snowflake’s structure embodies the English name ‘Jesus’ and its Greek and Hebrew equivalents.

This unanticipated correspondance is given a new dimension of meaning by the discovery of three of the numbers describing the Creation snowflake encoded within the opening two verses of the NIV Bible. These verses begin the description of God’s creation of the universe, which we now know is fractal-like in its structure and for which a fractal snowflake would therefore be an ideal metaphor (note 1). This symbolism extends to the construction method for the Creation snowflake implied by the encoded numbers, which repeats the six-plus-one day creation sequence described in Genesis.

The reflectivity between the properties of the Creation snowflake, the gematria of the Christian God and the gematria and subject matter of the NIV Bible’s opening statements cannot reasonably be expected to have occurred by chance, therefore this phenomenon appears to be the result of intelligent design.

For a brief introduction to snowflakes—real, fractal and numerical—please click here.
For a brief introduction to gematria please click here.

The Creation: 1

Exodus. 20:11 (NIV)
For in six days the Lord made the heavens and the earth, the sea, and all that is in them, but he rested on the seventh day. Therefore the Lord blessed the Sabbath day and made it holy.

According to Genesis 1 and the above succinct passage in Exodus, the Lord created the heavens and the earth in six days then rested on the seventh day. This day He blessed, conferring special status on it. Starting from these numbers I will show how a visual metaphor for creation ex-nihilo can be conjured, using a process of seeded growth that produces increasingly accurate approximations of the Koch Snowflake and that imitates the growth of real snowflakes.

The Six Days of Creation

The six days of Creation have been symbolised by a hexagonal ring of units.(note 2)

In manifesting 6 units as a ring we create a ‘free’ space within it, an arena for further creation. (note 3)

The Seventh Day

The 'free' space can then be filled or seeded with another unit, to create centred hexagon 7, representing the completed seven-day period.

The seventh, ‘free’, unit represents the seventh day, the day of rest. So hexagon 7 serves as a visual metaphor for the completed week of Creation. (note 4)

Nature builds larger structures from smaller ones, using atoms to build molecules, some of which can grow into snow crystals, which accumulate to form snowflakes. Taking nature’s economy and elegance as our example, we can use the hexagon we created as the ‘day’ unit for a second illustration of the six-day Creation period.

The Creation: II

The Six Days of Creation

Returning to the original ring of six units, if we replace each single unit with hexagon 7 itself, we create a ring of hexagons.

We now witness an interesting phenomenon: the space in the centre takes on the shape of a hexagram.

The Seventh Day

The shape that fills the space in the above ring and completes this version of the first week of Creation is centred hexagram 13, the smallest hexagram that can be created from discrete units (and the simplest approximation of the Koch snowflake).

Recall that the seventh day was blessed by God and made holy. This special status is perfectly symbolised by the Star of David, an ancient symbol of Christ and modern symbol of Judaism. Thirteen, in addition to being a hexagram number and the first approximation of the Koch snowflake in numerical geometry, is also the gematria of a Hebrew word for love: ahabah.

Therefore in filling the ring with hexagram 13 we are symbolically infusing it with God’s love. (note 5)

Thus we have created our first example of a fractal snowflake. (note 6)

The snowflake is a perfect symbol of growth from a central point or seed and thus represents the initial moments of Creation, described in Genesis 1, when God manifested the heavens and the earth. This snowflake, which is built from 55 individual discs, is fundamentally hexagonal in nature. This is easily shown by filling the indentations around its perimeter with discs to create centred hexagon 61.

Serendipitously, the number 61 repeats idea of the 6-plus-1 creation period, from which we modelled the inner snowflake. (note 6)

Using the simplest possible materials and inspired both by the biblical account of creation and by nature’s snowflakes, we have created the first centred hexagon and centred hexagram numbers and a fractal snowflake. In the third and final exercise we will create a larger snowflake. We will then cause it to grow just like a real snowflake by continually repeating the ‘creation function’, on the resulting figure. This iterative process will generate increasingly accurate approximations of the Koch snowflake, a sequence of figures culminating in the Creation snowflake. As this magnificent figure accumulates before our eyes I will show how, at each stage of its growth, we can derive numbers related to the Trinity, principally through English gematria.

This is where the miracle begins.

The Creation: III

Snowflake Ring 114

For the first two representations of the six days of creation, we used first a single unit then a hexagon with 7 units. These are the first two members of the centred hexagon series. The third member of this series is hexagon 19, with which we now create a third ‘six-day’ ring.

114 units are required to create this ring, which, because its constituent plates are in contact with each other, can be regarded as a single object. The enclosed space is now definitely shaped like the Star of David. The figure that fits inside is hexagram 37.

Hexagram 37

This hexagram sits at the centre of the Creation snowflake, a beautiful visual metaphor for God’s love, at the centre of our being. Appropriately, 37 is the reduced value of two words that are virtually synonyms for love.

Spirit (r) ..........= 37
The Lord (r) ....= 37

It is also singularly appropriate that 37 units can be organised into the sacred symbol of the Star of David. Continuing with the snowflake theme, it can be considered to be the ‘seed’ from which the entire snowflake grows.

Snowflake 151

If we now place the hexagram within the outer ring of 114 units we obtain a rather beautiful snowflake, built from 151 individual units. This gives us the ordinal values of the second and third Persons of the Trinity! (note 10)

Jesus Christ (o) .................= 151
Holy Spirit (o) ..................= 151

If hexagram 37 could be called the seed for this snowflake sequence, snowflake 151 is the first generation figure. Now I am going to grow larger snowflakes by iterations (repetitions) of the process illustrated above, using the completed figure at each stage as the central snowflake for the next iteration. In doing so I will create a sequence of snowflakes that are visual metaphors for God’s ongoing creative activity.

A Ring Of Hexagrams

As can be intuited from the shape of snowflake 151, it can be surrounded by six hexagrams, identical in size to its central hexagram. This situation is illustrated below.

These stars surround the figure representing Jesus Christ like a celestial garland, or perhaps like a crown of thorns. The garland is made from six hexagrams of 37 units, making 222 units in all. Recall that 37 is the reduced value of ‘the Lord’ and ‘Spirit’. (note 11)

Snowflake 373

Inserting snowflake 151 into the central space, again completing the seven days of Creation, produces a larger snowflake, having 373 units.

In the Greek system of numeration, 373 is the standard value of ‘Logos’, which means ‘word’. (note 12)

I think you’ll agree that we now have a figure resembling a real snow crystal, with some of the intricacy of its natural counterpart. The symmetry of these surface features is matched by that of the numbers represented by the outer ring (222), inner snowflake (151) and completed figure (373). These features combine to make snowflake 373 a unique geometric object and an ideal symbol of divine harmony and perfection.

‘Logos’ translates as ‘word’ and the Incarnate Word is of course Jesus Christ, therefore it can be no coincidence that snowflake 373 contains the inner snowflake that represents his name. Snowflake 151 in turn encompasses hexagram 37, so we have a trio of nested figures that are the seed and the first two generations in the growth of our snowflake. The numbers of units forming each figure are firmly linked through gematria with some of the names most synonymous with God

Snowflake Ring 906

Snowflake 373 can now be ringed by six versions of its own internal snowflake to form an elaborate, but still hexagonal, diadem of 906 discs, illustrated below.

906 is the summed standard values of the word 'Jesus' in English and Hebrew:

Note finally that the ring is made from six snowflakes of 151 units, 151 being the ordinal value of ‘Jesus Christ’ and ‘Holy Spirit’.

Snowflake 1279

As the snowflake accumulates, ever more wonders are revealed. By filling snowflake ring 906 with snowflake 373, a magnificent snowflake, comprising of 1279 units, is created. This is illustrated below.

This dazzling fractal is the completed Creation snowflake, and it is impregnated with the divine watermark of the Creator Himself:

The Almighty God (s) ..................= 1279

I indicated above how snowflake ring 906 is associated with the standard values of the English and Hebrew words for ‘Jesus’. Amazingly, 1279 is the sum of the standard values of the Greek and Hebrew words for Jesus!

It follows that 1279 is also the sum of the standard values of three words associated with our Lord in English, Greek and Hebrew.

Completing the ‘round robin’ of additions we obtain the sum of the standard values of the English and Greek words for Jesus, which is 515 + 888 = 1403. Around 2007, I noticed that this is the standard value of the name I gave to the snowflake.

The Creation snowflake (s) = 1403

This was not by my design! I named the snowflake around 2003, before I put up the first version of this page.

An Outline of the Creation Snowflake

For the frosting on the cake we turn now to the outline of the Creation snowflake and that of each of the figures within it. As the snowflake grows the number of discs around its perimeter grows along with it. These form the outline of each snowflake, defining its characteristic shape and giving rise to a further sequence of numbers. With sublime economy of material, the Miracle Maker has utilised these very numbers to encode further numerical signatures.

Word (r) ....= 24
Holy (r) .....= 24

Word (o) ...= 60
Holy (o) ....= 60

The Lord God (o) = 108

“In the beginning God created the...” = 252

These are the six opening words of the NIV Bible and their ordinal value, 252, is the first of three numbers defining the Creation snowflake which have crystallised within the NIV Bible’s opening words.

The Creation Snowflake In Genesis

I will show the encoded numbers in the order in which they appear in the NIV text. As they are revealed, you will see the snowflake take form before your eyes.

1. Outline

We saw above that the first six words have an ordinal value of 252, which is the number of units forming the outline of the Creation snowflake.

Genesis 1:1-2 (NIV)
1. In the beginning God created the heavens and the earth. 2. Now the earth was formless and empty, darkness
was over the surface of the deep and the Spirit of God was hovering over the waters.

First 6 words of NIV bible (o) ..............................= 252
Number of units in outline of Creation snowflake = 252

2. Outer Ring

The first eighteen words have an ordinal value of 906, which is the number of units forming the outer ring of the snowflake. This and the previous encoding are tightly integrated, because the second includes the first and because both are integrated with further encodings (see below).

Genesis 1:1-2 (NIV)
1. In the beginning God created the heavens and the earth. 2. Now the earth was formless and empty, darkness
was over the surface of the deep and the Spirit of God was hovering over the waters.

First 18 words of NIV bible (o) .................................= 906
Number of units in outer ring of Creation snowflake = 906

3. Complete Snowflake

What about the completed figure? It is right under our feet, carpeting the second verse of the NIV Bible.

Genesis 1:1-2 (NIV)
1. In the beginning God created the heavens and the earth. 2. Now the earth was formless and empty, darkness
was over the surface of the deep and the Spirit of God was hovering over the waters.

NIV Genesis 1:2 (o) ..............................= 1279
Number of units in Creation snowflake = 1279

So numbers representing three major structural properties of the Creation snowflake, snowflake 1279, are encoded within the first two verses of Genesis. From lists of figurate numbers I can find no other figurate properties for the number 1279. The numbers defining its outline and its outer ring confirm that this must therefore be the figure intended and also highlight the particular internal structure shown here, the very structure that emerges from the ‘creation function’ I applied earlier! Therefore both snowflake and construction method are neatly encoded.

Next I provide further evidence that these numbers are genuine encodings by demonstrating how they integrate with other numbers encoded within the opening words of Genesis.

The Number Six

Another impressive feature of the encodings is the use of the number six as a unifying motif. We note that the Creation takes place over six days, that the Creation snowflake has six sides and that it is grown by a six-plus-one process that mirrors the Creation Week and mimics the growth of real snowflakes.

In addition, the numbers derived from the snowflake’s outline and outer ring—252 and 906—are multiples of 6 and are encoded within strings of six and eighteen (6 x 3) words. These are encoded before the completed snowflake, in a way that features the number six. Again, this is consistent with the first six days of Creation and the Creation model I showed at the start of this page. However, it also suggests to us that we might want to numerate further six-word portions of the NIV text. When we do so, we discover buried treasure...

In The Signature of Christ, I show that the first twenty-four words of the NIV Bible can be split into four equal portions of six words to reveal six numbers, each of which is the standard value for a name or title for God Incarnate. These are shown below. (note 13)

These signatures are perfectly integrated with the encodings of the outline and outer ring of the Creation snowflake, as shown below.

So we see that the number six is a further unifying feature, weaving this incredible tapestry of encoded numbers into a meaningful whole by integrating the Creation snowflake with the Signature of the Creator, and by linking snowflake and signature to the Creation story itself.

Note that these numbers are all the standard values of the names (including the Hebrew word), but are encoded within each portion of text as ordinal values. This is the same two-system encoding method found throughout the New Bible Code, which is further evidence of deliberate activity, rather than chance occurrence.

Chances Are...

On this subject, could the winds of chance have arranged for so much of the gematria of the Trinity to be numerically equivalent to the most significant structural properties of the Creation snowflake?

A conservative estimate of the probability of such an occurrence is 1 in 118 million, which is vanishingly small; you are eight times more likely to win the UK lottery. Moreover, this estmate does not take into account the chances of the three most significant numbers associated with the snowflake being encoded in such a meaningful way within the first two verses of the NIV Bible, something which is also unlikely to have happened without cause. For details please click here.

If there is a line between coincidence and synchronicity, between chance and purpose, then we crossed it long ago, and have now wandered into an enchanted realm where miracles occur. But unlike weeping statues and ephemeral apparitions, this miracle is frozen in time and can therefore be witnessed by all who care to do so.


The Creation snowflake is a kind of geometric mandala, representing God’s immanence within our universe of manifest forms. (note 13) These forms adhere to the laws of fractal geometry, as is seen most delightfully in snow crystals, which display myriad variations on the Koch snowflake - the very figure towards which the Creation snowflake grows. Snowflakes are therefore a beautifully appropriate symbol for God’s Creativity. Moreover, every branch and platelet of the Creation snowflake bears the signature of the Creator Himself, whose formation of the universe is described in the very passage within which the snowflake has crystallised, and whose signatures are strewn throught these same words. Thus the Creation snowflake has communicated to us in a unique and memorable way that the Creator of this universe is the God of the Judaeo-Christian scriptures. The snowflake’s crystallisation within the NIV signals further encodings within this version and is an authenticating watermark on the Christian Bible itself.

Christ’s Snowflakes (part 1) shows how the Creation snowflake is the progenitor of three related snowflakes, each symbolising the name ‘Jesus Christ’ through the numeration systems upon which the New Bible Code is based.

Christ’s Snowflakes (part 2) releases a flurry of snowflakes born from the Creation snowflake, each crystal symbolising our Lord.

Words fail me in attempting to fully communicate the magnificence of the Creation snowflake; I can only turn to the Bible and quote the opening words of Psalm 105—this time from the KJV Bible—which convey the wonder of it far more effectively than could I:

“O give thanks unto the Lord; call upon his name; make known his deeds among the people.
Sing unto him, sing psalms unto him; talk ye of all his wondrous works.”

Psalm 105 v.1-2 (KJB)

Bill Downie
Latest update: 25/4/09


1. At the time the NIV Bible was being translated, the 1970s, the fractal-like properties of our universe would have been virtually unknown outside the mathematical community.
2. See The Secret Doctrine of the Kabbalah, by Leonora Leet.
3. The ring enclosing a circular space is reminiscent of the kabbalistic explanation of Creation, where the Ein Sof (the Limitless) “withdrew itself into its essence, from itself to itself within itself” , to create a spherical primal space, into which it emanated to begin the evolution of the universe we know. This is itself consistent with the modern ‘big bang’ theory of cosmogony. See The Essential Kabbalah, by Daniel C. Matt.
4. In the Kabbalah, the outer ring of six discs now represents the Ein Sof after it had withdrawn from its own centre, the inner disc symbolising the created universe. Seven is an important number for the authors of the Bible, who considered it to be the most auspicious of numbers, standing for spiritual perfection. Consequently, seven is woven into more biblical passages than any other number.
5. The idea that God’s love permeates the universe has some support in the work of a Japanese researcher known as Masaru Emoto, who has spent many years freezing water then photographing the water crystals as they form. The unique feature of his work is that before he freezes the water he first projects thoughts onto it. What he discovered was that pure, unpolluted water or, alternatively, water onto which loving, peaceful thoughts were projected crystallised into perfect symmetrical forms, identical to snow crystals. Water subjected to angry or hateful thoughts crystallised into irregular forms or not at all. Polluted water also refused to crystalise. However, when a body of polluted water was prayed over, it too formed regular crystals upon freezing.
6. Technically, this is the first iteration of a Koch antisnowflake, starting with a hexagon.
7. Hexagon 61 can also be created from triangle 91, by self intersection. Interestingly, 61 is the reduced value of ‘Holy Spirit’ and 91 is the ordinal value of 'Spirit'.
8. It should be borne in mind, however, that the combined system is tentative and has no precedent in Hebrew or Greek gematria.
9. Interestingly, the ordinal value of the phrase ‘the Tabernacle’ is 114! Other related phrases with an ordinal value of 114 are ‘the source’ and ‘the beginning’. In contrast to previous versions of this page I have now placed these alternative phrases in the notes, as I am concentrating on names directly related to the Trinity, to which structural properties of the Creation snowflake appear to correspond. I cannot yet say whether these alternative phrases are also designed with the Creation snowflake in mind.
10. Astoundingly, several well known phrases that are meaningfully related to Jesus Christ have ordinal values of 151: ‘Jesus is Lord’,The Incarnation’, ‘Christ the King’, ‘The sacrificial lamb’. Snowflake 151 (and indeed the entire Creation snowflake) is built from two related figures: the hexagon and the hexagram. These words may themselves be encoded with the same numerical signature, because the ordinal values of ‘hexagon’ and ‘hexagram’ are 74 and 77, the same as ‘Jesus’ and ‘Christ’. So Christ’s English name could be said to be inscribed on every branch and platelet of the Creation snowflake!
11. The hexagrams total 222 units. In previous versions of this page I noted that this is the ordinal value of ‘the spirit of Christ’. In keeping with the larger theme of this website, 222 is also the ordinal value of ‘the Lord’s Second Coming’ and the standard value of ‘Second’. However, because the ring is fragmented and not a discrete geometric object, I have decided to consign these nonetheless interesting equivalencies to the notes.
12. I thank Richard A. McGough for discovering the link between snowflake 373 and the Greek word logos. The reduced, ordinal and standard values of the name ‘Jesus Christ’ are 43, 151 and 925. The combined value of 1119 is simply the sum of these three values, of course, and is therefore 373 x 3.
13. A mandala (from the Sanscrit word for wheel) is a circular space, usually quartered, which is used as an aid to meditation by Buddhist monks. C. G. Jung used mandalas as an aid to psychoanalysis.