In Gematria, the most holy name of God, referred to as the Tetragrammaton, embodies some very interesting Golden Ratio relationships.

Gematria is a system of assigning numerical value to a word or phrase. It is likely that the term derives from the order of the Greek alphabet, gamma being the third letter of the Greek alphabet (gamma + tria) or from Greek geōmetriā, “geometry.” Although apparently derived from Greek, it is largely used in Jewish texts, most notably in those associated with the Kabbalah, a set of teachings meant to explain the relationship between an eternal and mysterious Creator and the mortal and finite universe (His creation).

The Tetragrammaton, meaning “[a word] having four letters”, refers to the name of the God of Israel as YHWH (Hebrew: י-ה-ו-ה‎) that appears 6,828 times the Hebrew Bible, the first of which is in Genesis 2:4, which says, “4 This is the account of the heavens and the earth when they were created.
When the Lord God made the earth and the heavens–.”  The letters, properly read from right to left, are:

The Connection to Phi and the Golden Ratio

The gematria values of the four letters in the Tetragrammaton (Yud – Hey – Vov – Hey) are 10, 5, 6 and 5.  This indicates the importance of the number 5 in this Holiest Name of God. Yud has a gematria value of 10. Vov has a gematria value of 6, which creates various ratios within this name of God:

The Hebrew word for “when they were created” is BeHebaram. This word can be divided to also say “With ‘Hey’ were they created”, which suggests the importance of the number five in the creation of mankind.

The Hebrew Bible says that The Holy One created man “in the image” of G-d.  The Hebrew word “in the image” is made up of 4 letters – Bet, Tsadi, Lamed, and Mem.

Thanks to Yosi Spater for his contribution of the golden ratio relationships in the Tetragrammaton and Jewish scriptures about creation, and to Wikipedia for other information on this page..

The post Phi and the TetraGrammaton appeared first on The Golden Ratio: Phi, 1.618.

Although perhaps not immediately obvious, phi and the golden section also appear in the Bible.  Also see the Theology page.

The Ark of the Covenant is uses Fibonacci numbers, approximating a Golden Rectangle

In Exodus 25:10, God commands Moses to build the Ark of the Covenant, in which to hold His Covenant with the Israelites, the Ten Commandments, saying,

“Have them make a chest of acacia wood-
two and a half cubits long,
a cubit and a half wide,
and a cubit and a half high.”

The ratio of 2.5 to 1.5 is 1.666…, which is as close to phi (1.618 …) as you can come with such simple numbers and is certainly not visibly different to the eye. The Ark of the Covenant is thus constructed using the Golden Section, or Divine Proportion. This ratio is also the same as 5 to 3, numbers from the Fibonacci series.

In Exodus 27:1-2, we find that the altar God commands Moses to build is based on a variation of the same 5 by 3 theme:

“Build an altar of acacia wood, three cubits high; it is to be square, five cubits long and five cubits wide.”

Note: A cubit is the measure of the forearm below the elbow.

Noah’s Ark uses Fibonacci Numbers in its Dimensions

In Genesis 6:15, God commands Noah to build an ark saying,

“And this is the fashion which thou shalt make it of: The length of the ark shall be three hundred cubits, the breadth of it fifty cubits, and the height of it thirty cubits.”

Thus the end of the ark, at 50 by 30 cubits, is also in the ratio of 5 to 3, or 1.666…, again a close approximation of phi not visibly different to the naked eye. Noah’s ark was built in the same proportion as ten arks of the covenant placed side by side.

The Number 666 is related to Phi

Revelation 13:18 says the following:

“This calls for wisdom. If anyone has insight, let him calculate the number of the beast, for it is a man’s number. His number is 666.”

This beast, regarded by some as the Anti-Christ described by John, is thus related to the number 666, one of the greatest mysteries of the Bible.Curiously enough, if you take the sine of 666º, you get -0.80901699, which is one-half of negative phi, or perhaps what one might call the “anti-phi.”  You can also get -0.80901699 by taking the cosine of 216º, and 216 is 6 x 6 x 6.

The trigonometric relationship of sine 666º to phi is based on an isosceles triangle with a base of phi and sides of 1.  When this triangle is enclosed in a circle with a radius of 1, we see that the lower line, which has an angle of 306º on the first rotation and 666º on the second rotation, has a sine equal to one-half negative phi.

In this we see the unity of phi divided into positive and negative, analogous perhaps to light and darkness or good and evil.  Could this “sine” be a “sign” as well?

In addition, 666 degrees is 54 degrees short of the complete second circle and when dividing the 360 degrees of a circle by 54 degrees you get 6.66… The other side of a 54 degree angle in a right angle is 36 degrees and 36 divided by 54 is .666.

Phi appears throughout creation, and in every physical proportion of the human body.  In that sense it is the number of mankind, as the mysterious passage of Revelationperhaps reveals.

Also see the Theology page.

The colors of the Tabernacle are based on a phi relationship

The PhiBar program produces the colors that the Bible says God gave to Moses for the construction of the Tabernacle.

As it says in Exodus 26:1, “Make the tabernacle with ten curtains of finely twisted linen and blue, purple and scarlet yarn, with cherubim worked into them by a skilled craftsman.”

Set the primary color of the PhiBar program to blue, the secondary color of the PhiBar to purple and it reveals the Phi color to be scarlet.

This reference to the combination blue, purple and scarlet in the construction of the tabernacle appears 24 times in Exodus 25 through 39, describing the colors to be used in the curtains, waistbands, breastpieces, sashes and garments.

See the Color page for additional information.

Insights on the Ark of the Covenant and 666 contributed by Robert Bartlett.
Insights on the Altar in Exodus 27 contributed by Sir Hemlock.
Insights on the Tabernacle colors contributed by J.D. Ahmanson.

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The use of the Greek letter Phi Phi to represent the golden number 1.618 … is generally said to acknowledge Phidias, a 5th century B.C. sculptor and mathematician of ancient Greece, who studied phi and created sculptures for the Parthenon and Olympus.

The message from scripture of all the major monotheistic religions is that God is One, Who created the universe from nothing, splitting nothingness into offsetting forces and elements.  Today we understand the universe to consist of positive and negative atomic and subatomic particles and charges, matter and anti-matter, all coming from a singularity in what we term the “Big Bang.”

Curiously, the mathematical constant of 1.618 … that is found throughout creation is represented by the symbol Phi, which is the symbol 0 for nothing split in two by the symbol 1 for unity and one.  Could this be the true meaning behind the symbol Phi?  (Oddly enough, to type Phi on your computer, you hold the Alt key and enter 1000 on the number pad, an interesting “alt”ernate look at 1 with a trinity of 0’s!)

O	l
Nothing	Unity / God	Nothing split by Unity is Phi, the constant of creation

Note:  This original insight by the site author was added on 3/15/2003.

Adding Unity to nothingness produces the Fibonacci series, which converges on Phi

Now ADD God to the void, or Unity to Nothing.  In other words, add 0 plus 1 to get 1, and then follow this pattern to the Infinite.  This is the Fibonacci series.  The ratio of each number in the series to the one before it converges on Phi as you move towards infinity, ∞!

The Golden Proportion is analogous to God’s relationship to creation

The Golden Section, or Phi, found throughout nature, also applies in understanding the relationship of God to Creation.  In the golden section, we see that there is only one way to divide a line so that its parts are in proportion to, or in the image of, the whole:

The ratio of the larger section (B) to the whole line (A) is the same as the ratio as the smaller section (C) to the large section (B):

Only “tri-viding” the whole preserves the relationship to the whole

And so it is with our understanding of God, that we are created in His image.  Not by dividing the whole, but only by tri-viding the whole does each piece retain its unique relationship to the whole.  Only here do we see three that are two that are one.

The Book of John begins with these words that capture the essence of this:

In the beginning was the Word,
and the Word was with God,
and the Word was God.

Jesus, in John 14:9, expressed a similar thought:

Anyone who has seen me has seen the Father.

Here the human Jesus (the Son of Man) is to the divine Jesus (the Son of God) as the divine Jesus (the Son of God) is to God (the Father or whole).

Insight on the relationship of Christ to God as analogous to the golden section contributed by Steve McIntosh.

Phi as an insight to deeper spiritual connection and oneness

Phi can be calculated in an iterative process, such as those shown in the equations below:

Φ = 1 + (1/Xn), e.g.,

or

Miika Kuisma observed that the act of “part of the whole adding the whole onto itself” can be thought of as a “mathematical way of describing conscious recognition of being part of the whole.” In application, this would suggest that “when someone sees himself/herself as part of the world without personal attachment to it, and stays firmly in that perspective, then he/she will also become into a harmonic relationship with the world. One cannot help but to become in Phi relationship with the nature. This could suggest even a healing process.”

The Golden Section as a universal constant of design

The teachings of most religions express the thought that part of God is within each of us and that we are created in His image.  The pervasive appearance of phi throughout life and the universe is believed by some to be the signature of God, a universal constant of design used to assure the beauty and unity of His creation.

(More thoughts on the evidence of Divine creation)

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