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.

View Full Version : New Evidence for the Orion Correlation Theory

I have long been fascinated by the phenomena of phi (Greek letter), the Fibonacci number series, and the Divine proportion, Golden Proportion, Golden mean, Golden ratio, Golden spiral, Golden rectangle. To me this is such a clear evidence of God’s existence and His mighty genius in the creation of all things in nature. If you’ve never heard of this, look into it – you will be amazed! But here are some facts and examples to get you started.

In mathematics, the Fibonacci series are the numbers in the following sequence of integers:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, etc. where the first two numbers are 0 and 1, and each subsequent number = the sum of the previous 2 numbers.

And Phi = 1.6180339887… or the ratio of any Fibonacci number to the previous number in the sequence, e.g. 8/5, 13/8, etc.

Golden Spiral

The Fibonacci series is named after Leonardo of Pisa, who introduced the sequence to Western European mathematics, although the sequence had been described earlier in Indian mathematics. Fibonacci numbers are used in the analysis of financial markets. They also appear in biological settings, such as branching in trees, arrangement of leaves on a stem , the fruit spouts of a pineapple ,  the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone.

You can see this divine proportion of beauty in every aspect of creation, from botany to zoology, to the human body, the human face in particular, in the color spectrum, in musical scales and chords, in astronomy, in architecture, even in the patterns of our DNA! and especially for this post, in God’s instructions to the Jews in building such articles as the holy Ark of the Covenant, Noah’s Ark, the color arrangements in the Jewish Tabernacle in Exodus. God evidently designed the universe with this ratio as the basis of its appearance, from the microcosm to the macrocosm. Here are just a few examples of this phenomenon.

A Nautilis seashell is one of the most exquisite examples of the divine proportion.

Some plants have beautiful repeating spiral patterns to their structures that incorporate the so-called golden angle (approx 137.5 degrees). Math buffs, artists, and mystics will appreciate that the golden angle is related to the “divine proportion” that frequently appears in aesthetically-pleasing forms.

Plants with spiral patterns related to the golden angle also display another curious mathematical property. The seeds of a flower head form interlocking spirals in both clockwise and counterclockwise directions. The number of clockwise spirals differs from the number of counterclockwise spirals, and these two numbers are called the plant’s parastichy numbers (pronounced pi-RAS-tik-ee or PEHR-us-tik-ee). These numbers have a remarkable consistency. They are almost always two consecutive Fibonacci numbers.

Phi in the Bible and Creation
Although perhaps not immediately obvious, phi and the golden ratio appear in the Bible.

The Ark of the Covenant is 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 a Golden Rectangle

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 colors of the Tabernacle are based on a phi relationship

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.” 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.

Phi relationships in a color spectrum produce rich, appealing color combinations

Michael Semprevivo has introduced a concept called the PhiBar, which applies phi relationships to frequencies, or wavelengths, in the spectrum of visible colors in light.  Colors in the spectrum that are related by distances based on phi or the golden section produce very rich and visually appealing combinations. This is illustrated below on the screen shot of his PhiBar program.  You can experiment with the PhiBar program, written in Visual Basic, by clicking HERE to download it and then running the .exe file.

Note:  This program is made available by Michael Semprevivo for free for non-commercial use only.  The PhiBar.exe program was scanned with Norton’s Antivirus program on 03/01/2003 using current virus definitions and found to be virus free but no express or implied warranties are given with respect to its use.

The PhiBar produces the color combinations of the Tabernacle as described in the Bible

Using the PhiBar program above, J.D. Ahmanson discovered that it produces the colors that the Bible says God gave to Moses for the construction of the Tabernacle.

The DNA spiral is a Golden Section

The DNA molecule, the program for all life, is based on the golden section.  It measures 34 angstroms long by 21 angstroms wide for each full cycle of its double helix spiral. 34 and 21, of course, are numbers in the Fibonacci series and their ratio, 1.6190476 closely approximates phi, 1.6180339.

Musical scales are based on Fibonacci numbers

The Fibonacci series appears in the foundation of aspects of art, beauty and life. Even music has a foundation in the series, as:

There are 13 notes in the span of any note through its octave. A scale is composed of 8 notes, of which the 5th and 3rd notes create the basic foundation of all chords, and are based on whole tone which is 2 steps from the root tone, that is the 1st note of the scale.

Note too how the piano keyboard scale of C to C above of 13 keys has 8 white keys and 5 black keys, split into groups of 3 and 2. While some might “note” that there are only 12 “notes” in the scale, if you don’t have a root and octave, a start and an end, you have no means of calculating the gradations in between, so this 13th note as the octave is essential to computing the frequencies of the other notes.  The word “octave” comes from the Latin word for 8, referring to the eight whole tones of the complete musical scale, which in the key of C are C-D-E-F-G-A-B-C.

In a scale, the dominant note is the 5th note of the major scale, which is also the 8th note of all 13 notes that comprise the octave.  This provides an added instance of Fibonacci numbers in key musical relationships.  What’s more, the typical three chord song in the key of A is made up of A, its Fibonacci & phi partner E, and D, to which A bears the same relationship as E does to A. This is analogous to the “A is to B as B is to C” basis for the golden section, or in this case “D is to A as A is to E.”

Musical instruments are often based on phi.

Fibonacci numbers and phi are used in the design of violins and even in the design of high quality speaker wire.

Have you seen enough? Isn’t God awesome in his precise and beautiful engineering? And to think that some still believe it all happened by chance! I could go on but this post is getting long! Do look into it yourself and be more amazed! Much of this information is taken from this website: http://goldennumber.net/index.htm .

http://graftedinelena.wordpress.com/2011/04/01/the-math-of-god-phi/

The Epic of Gilgamesh has Utnapishtim telling Gilgamesh that he (Utnapishtim) made the ark's deck one IKU in area. He elaborates to say that this IKU was 120 by 120 [Great Babylonian or 21"] cubits in shape. The area in square inches then would have been 6,350,400. (The success of a square configuration would be no greater than that of a narrow rectangle, 300 by 50 [Egyptian or 20.6"] cubits. The area in square inches of the Genesis account would be 6,365,400. I.e., Either shape would have been destroyed in the high velocity water of the tidal flood.) Both referred to the area of the deck and not to its shape.

The great cubit of Sumer was 21 inches long and an IKU therefore contained 44,100 square feet of area. This area is identical to the modern English acre. The words are similar. Both the word and the size of the English acre seems to come directly to us from ancient (ante-diluvian) Sumer and Chaldea. (Noah was from Shurupuk in Chaldea) The length of the Ark was measured twice by Fasold to be 515 feet or 6180 inches. Baumgardner measured it once to be 6186". A designation of 300 cubits in length suggests the recorder employed the Egyptian cubit, 20.6 inches long. As these things go, the Egyptian cubit might have been 20.62". In any case, there is only .1% difference among the measurements.

An Italian adventurer named Leonardo Fibonacci first brought Arabic numerals to Europe in the thirteenth century. Fibonacci is credited with discovering the "golden ratio" and with one of the techniques for deriving it. This golden ratio, 1.6180..., is a number significant to nature in that it portrays the manner in which many things grow. It is an "irrational" number, however, in that it has no exact value. Neither is there a pattern of repeating digits, regardless of the number of decimal places developed. The spirals of conch shells and tornadoes and the leafing out of a branch are examples. There is one more example that is probably the reason the number was nearly deified by the ancients.

The ancients claimed "Jove" (Jupiter or Zeus Pater) called the tune for all of the planets. Bode attempted to identify a pattern for the planets and their orbits around the Sun but failed. The correct model couldn't be employed by Bode without Chaos Mathematics and that study is only a couple of decades old. My persuasion is that the presence of Jupiter and Saturn and their outsized massiveness determines Solar System stability (or lack of it). The most stable configuration will be one in which precise repeated position of all of the bodies is denied.

The simplest such relationship is one where the orbit periods vary in multiples of an irrational number. Further, the best irrational number will be the smallest of those available that still separates all of the bodies far enough apart to minimize the direct effect of their interacting gravities.

The natural log base, e, (2.7182818...) is such a number but it is slightly larger than the square of phi (2.618033989...). The next lower "naturally popular" irrational number is phi (1.618033989...). (The square roots of both 5 and 7 are candidates but do not appear independently in nature.) The majority of the visible solar system seems to be organized in accordance to phi squared. Mercury's period approximates Saturn's divided by phi to the tenth power. (10750 days divided by the product 1.6180x1.6180x1.6180x1.6180..for nine multiplication's.)

Venus' period approximates Saturn's divided by phi to the eighth power. The asteroid belt average approximates Saturn's period divided by phi to the fourth power. Jupiter's period approximates Saturn's period divided by phi to the second power. Uranus' period approximates Saturn's period multiplied by phi to the second power and Neptune and Pluto are equally either side of an orbit corresponding to Saturn's multiplied by phi to the fourth power. The period of any planet beyond Pluto is likely to be a few points off from Saturn's multiplied by phi to the sixth power.

Note the omission of Mars and Earth from this list. We have only one "slot" available for them. It is Saturn's period divided by Phi to the sixth power. The slot has a period approximating 610 days. However, there are two candidate planets vying for this position, not one! Earth's period approximates Saturn's divided by phi to the seventh power. Mar's period doesn't land within 10% of any phi multiple of Saturn's.

Mars was said to be the errant offspring of Jupiter. Friedman's article "Gravity's Revenge" page 54 in the 1990, May issue of Discover Magazine is worth reviewing. It is about Gerald Sussman's work showing the solar system to be an "unstable system". Sussman's Solar System model specifically notes the errant body to be Mars! Lets hope that if either Earth or Mars is ejected from the system, Mars receives the honor of an extended space voyage. Another example of "discrete placement" relative to phi squared is the little hydrogen atom. Hold the angular momentum of the electron constant and measure the energy of the electron in its various discrete energy levels. Subtracting the energy of the electron in level A from that in level B, then dividing that energy difference by the difference of the energy values corresponding to

levels C and B renders phi squared (2.618). Similarly (D-C)/(C-B) = phi squared, etc. In a fractal universe, it may be said "as in heaven, so below". (This is not a new comment on reality.)

Divide any length straight line into two segments so that the length of the larger part divided by the smaller equals the whole line divided by the larger part. If we call the two line segment lengths a and b, then a/b = (a+b)/a. Algebra scholars will conclude the golden ratio is one half the quantity of one plus the square root of five.

Phi = 1/2 of (1 + square root of 5)

The golden ratio may also be found by creating a particular series of numbers. Select any two numbers (The "Fibonacci series" usually starts with 0 and 1 but you can, if you want, start with 682 and 3). add them together to make the third. The fourth is the third added to the second, etc. After you have created about ten numbers in this manner, divide your last number by the next to the last. In the series 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ..., 13/8 = 1.625; 21/13 = 1.615384615; 34/21 = 1.619047..

The value usually used, rounded to 8 decimal places is 1.61803399. Rounded off to four significant places, the number is 1.6180. The reciprocal (1/n) of the number (phi) is .6180... This is equal to the number (1.6180...-1). Similarly, the square of phi (n² or 1.6180 x 1.6180) equals 1 plus 1.6180 or 2.6180. (The reader is encouraged to play with this number a bit to really understand it. This isn't a good spot to skip on to a more interesting paragraph.)

Ancient people were intrigued by this number, 1.6180... or phi, by 3.141593..., or pi, and perhaps by the natural log base, 2.7182818... or "e". I suspect the "divinity" of phi and of the number 5 are related to ancient astral observations. They faulted Mars for not fitting the pattern. They seem to have been proved partly correct both by what needed to be done and by who needed to do it (Jupiter).

Looked at from a mythological perspective, Noah wanted to escape the deluge caused by the one planet (other than Earth) not conforming to the pattern. Noah could have felt his best chance was to build a ship with as much phi in it as possible. This assumes Noah more superstitious than history describes. From an Engineering perspective, Noah could have wanted to minimize resonance and amplitude of vibration throughout the vessel. Making the ratios of the principal dimensions conform to the least energetic, irrational number offers the best guarantee. Again, it is hard to argue with success!

While Fibonacci is credited with the "discovery" of the golden ratio, the number has long been known to appear in at least one other place on earth as a monument to ancient technology. This unique number can be obtained by dividing the area of the surfaces of the Great Pyramid of Giza by the area of the pyramid's base. (The perimeter of that monument, when divided by its height gives the value of 2 times pi. There is a slight discrepancy between the values of pi and phi produced by assuming all surfaces are "flat planes". This discrepancy was eliminated by the builders when they dished the surfaces slightly to increase the surface area.)

Figure 2 summarizes the relationships of those measurements and of the depth mentioned in Genesis. The major transverse chord (maximum beam) is located at the center of the moon pool. The expression "moon pool" is chosen because the vertical hole through the vessel reminds us of the vertical hole in an off shore drill rig vessel. The Ark's moon pool provided forced air ventilation via the roof opening (wave action), access for handling anchor stones, access for dumping garbage and manure, and provided a "softening" of the buoyancy amidships. This last was crucial to maintenance of the structural integrity of the vessel in heavy seas. Without it, the hogging and sagging stresses could have demolished the vessel.

The distance from this major chord to the stern of the vessel is 3819 inches.

[1] 6180 / 3819 = 1.618

The distance to the bow, therefore is the difference or 2361 inches.

[2] 6180 / 2361 = 1.618 x 1.618 (& is 1 + 1.618)

The beam was established by multiplying the desired deck area by 1.6180 then dividing that by the length of the vessel. This describes the smallest rectangle into which the boat shape will fit. Ea's (Yahweh's?) requirement was that the area be 44,100 square feet (from the Epic of Gilgamesh). The Genesis account is nearly the same area. It differed mostly in that they used a cubit of 20.6" as compared to the great cubit of 21" and asked for the area by stating one of the principle dimensions. Because the shape of the Ark was developed from a "camber" curve and ellipse (shown in Figure 2), the area inside the deck "circumference" exceeds the 44,100 square feet by exactly 5289.67 square feet. The designers therefore assigned this as the required area to be taken out by putting a rectangular hole through the raft. The Moon pool dimensions approximate this area difference. Note that this is a spectacular "coincidence" detractors would ask us to swallow as chance.

Their design then requires the moon pool area be 761,713 square inches. The total area inside of the "deck edge outline" was 7,112,113 square inches. The area of the deck is then the desired 6,350,400 square inches. This area, multiplied by 1.61803399 is the area of the circumscribed rectangle or 10,275,163 square inches. The rectangle width (and maximum beam of the vessel) is this larger area (10,275,163) divided by the desired length of 6180 inches. This was how Noah decided how wide to build

his vessel. The width of the rectangle is 1663 inches, 79.17 great Babylonian cubits, 80.73 Egyptian Cubits or 138 1/2 feet!

[3] (1662.65 x 6180) / (44,100 x 144in^2/ft^2) = 1.6180

This validates the lofting method. The camber circle and ellipse is a required method to produce a hydrodynamic shape that has exactly one acre of real deck space while still including a functioning moon pool; and, be 6180 inches long. (10,000 / phi or 10,000 x [phi - 1]).

[4] 10,000 x (1.6180 - 1) = 6180

Noah was nothing, if not consistent. He went on to determine the length of the moon pool by making it equal to the vessel's length divided by (L / 1 + 1.6180). The width (323 inches) was simply the required area divided by its length. The computer faired lines showed the measured 138 feet to not have been taken at the widest point. The measurement was made at the intersection of iron readings forward of the place the computer identified as the most probable widest point. The fitted curve shows the maximum beam occurs behind this measured point and not at it.

No one in 1985 had tumbled to the principles controlling the location of the maximum beam. There being no transverse line of iron masses located there, the maximum beam wasn't directly measured. Your author was similarly ignorant of the need to measure the beam at this point in 1990. (Your author didn't tumble to the pattern in the artifact or of planet period until August 19, 1991. One wonders how much more there is that we are not seeing.) Note, however, that the curve for the deck edge developed by the camber curve fits the actual dimensions only if the major chord occurs at the center of the moon pool.

Genesis records the depth to be 30 cubits. 1663 divided by the square of phi (2.6180), produces 635 inches, 30.24 great Babylonian cubits or 30.82 Egyptian cubits.

[5] 1663 / 635 approximates 1.6180 x 1.6180

The length of 6180 inches is 294.28 great Babylonian cubits and 300 Egyptian cubits. If the molded area of the deck is 6350400 square inches, this, divided by the length gives an average width of 1027.57 inches, 48.93 great Babylonian cubits or 49.88 Egyptian cubits. Genesis lists the width as 50 cubits. It appears the average width is intended and not the maximum beam. This is consistent with the concept that expressions of area in that earlier age was typically "X" cubits by "Y" cubits. It may be that they had no word for area, for volume, etc.

Given the variety of lengths the ancients called a cubit, it appears that both the Sumerian and Genesis accounts are "true". Only the length of the cubit differs slightly. The fact the phi ratio shows up in units of measure only in inches, it also appears that it was the inch and not the cubit that served as the actual construction dimensioning unit. The cubit appears to be a unit of measure employed by later examiners. However, the iron indications were approximately one cubit apart throughout the artifact. The clincher on this assumption of depth (recognizing Noah's penchant for symmetry) is that when the average width is added to the calculated depth, the sum equals the maximum beam!

In all of this, the slight variations from "perfect" are unavoidable because of the inexactness of the irrational number, itself.

http://www.creationism.org/patten/WindsorNoahsArkGeometry.html