Phi in the Bible

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,

ark of the convenant

“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.

Altar of Exodus 27

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.

Noah's Ark

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.

The relationship of phi, the golden ratio, and 666

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.


    • David says

      You can consult the Ark in Indiana Jones and the Lost Ark. That was a quite accurate reproduction based off a painting by James Tissot.

    • says

      The article simply stated that the sine of 666 degrees was related to phi, not that it is the only angle related to phi. As trigometry is based on sines and cosines of a 90 degree angle they can be applied endlessly to various quadrants or rotations of a circle. For any angle that is a multiple of 18, either its sine or cosine is one half of Phi, 1.618, or phi, 0.618. 234, 306, 666 and many other angles are such angles. This also explains the phi-based relationships of a pentagon, which is based on the five 72-degree arcs of the 360 circle, where 72 is divisible by 18 and also 18 degrees from the 90 degree axis of a quadrant.

  1. says

    “you get -0.80901699, which is one-half of negative phi, or perhaps what one might call the “anti-phi.” ”

    … funny, but …

    whatever you calculate with sine or cosine, it would never deliver you a result bigger than 1 or less than zero (ignoring the + or – sign).

    If you take the cosine of 144 you get the same result as the sine of 666 = 0.80901699.

    Remember the special number 144000 in Revelation, just one chapter after the 666 is mentioned (Revelation 14)? This number is not a symbolic number. It is composed of 3 x 4 x 3 x 4 x 10 x 10 x 10, or 12 x 12.000 … or 12 x 12 x 1000. It seems that the 144 and the 666 (or 216) are in some kind opposed to each other, one representing a perfection and the other imperfection.

    For example if you multiply the components of 666 with itself … 6 x 6 x 6 x 666 = 143856 … it leaks 144 to the perfect number of 144000 (one part of thousand).

    144 seems to be also a number which is composed by male and female, 72 + 72. Why? Because some Sanskrit scriptures says that humans has 72000 nadis (energy channels) in which consciousness flows through the entire body. Man and Woman would then form 144000 nadis together.

    The 1000 years during the Millennium of Christ are 360 x 1000 days. Dividing 360000 by 5 (a special number for phi) results in 72000. Et voilà!

    Do you know the science fiction series Fringe? The plot is about two parallel world which exist by different phases and eventually collides and only one will survive. If you consider that sine and cosine are out of phase by 90 degrees … ok the Bible could provide the stuff for many Hollywood movies, especially for one with the plot that at the original sin the world was took apart, and at the place where they overlap strange electromagnetic phenomenas occurs because of the two worlds frequencies out of phase (Genesis 3:24).

    • says

      The sine of 666 RADIANS is -0.01764164581… Try again on your calculator and make sure you’ve got DEGREES selected and you’ll find that the sine OF 666 degrees is –phi/2. Easy mistake to make.

  2. Jacob rios says

    I’ve been told at the dentist when they took a photograph of me to do the Fibonacci beauty of the facial features Ive scored perfect an I didn’t know what they meant till now i am ready to lead this new world

  3. Kent says

    Thanks for your break down as i desire to build a home based on biblical numbers and if you have any knowledge that could guide me further, such as the math of the temple built by Solomon it would be helpful.

    P.S. I am sane it just feels good to me to live in a structure that daily keeps me thinking of God and my Salvation.

  4. Ben says

    his is another example…

    I will give the answer prior to adding additional numbers to the equation.



    Any one?

  5. says

    Given the information on this page about phi in the Bible, you may be surprised to learn that the Golden Ratio also exists in the true arrangement of the Scriptures: with the pattern UCCOO (one Unique, two Complementary, and two Opposite) based on the characteristics of the first five numbers in the Fibonacci Sequence: 1, 2, 3, 5, 8.

    A complete explanation of this concept is found on this page:

    I have also published the King James Version 2014, which is the AV 1611 re-arranged according to the Golden Ratio pattern I just described. You can find the full text of the KJV 2014 in photos here:

    There are also free sample downloads of the text in pdf here:

    The Golden Ratio exists on 8 different vertical levels of this format: Divisions, Volumes, Books, Parts, Chapters, Sections, Paragraphs, and sub-paragraphs. This is something that I cannot explain fully here, because it would take an entire website, videos, and books to do so, all of which are available on the site.

    This Golden Ratio format of the Bible proves beyond any doubt that the Bible is of Divine Origin, and even more surprising, this same Golden Ratio pattern of UCCOO is found in the Solar System and our own bodies, all of which can be found here;

    I reference your site in this page, Gary, because it has been very helpful to my work.

  6. Nadav says

    What about age? Moses for instance lived 120 years. Clearly, this is impossible. I am wondering if Phi can somehow explain this….?

    • says

      Why is 120 years of age impossible? We have people today who live almost that long. The Bible gives numerous instances of Moses’ ancestors living far longer lifespans. For example, Jacob and his sons and grandsons are recorded as having lived 130 years or more. Abraham lived 175 years, and his ancestors’ lifespans increase in age up to almost 1,000 during the pre-Flood era.

      The long lifespan of Moses has nothing to do with Phi, only your unbelief in the reliability and authenticity of the Scriptures. But the Scriptures themselves are now seen to be authenticated to be of Divine Origin by the Golden Ratio pattern of UCCOO, on 8 (or 3 + 5) vertical levels, and up to 8 (or 3 + 5) horizontal levels. The same pattern of UCCOO is found in the Solar System, our hands, the design of our facial features, the design of our bodily extremities, and even the Chemistry Table of Elements. See the link I posted above for the Golden Ratio in Nature.

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