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History of Biblical Astronomy

The Tabernacle Colors and the Phi and Lucas Ratios

The Bible tells us God gave Moses certain colors relating to 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.”

This reference to the combination blue, purple and scarlet in the construction of the tabernacle appears 24 times in Exodus 25 through 39, describing not only the colors to be used in the Tabernacle curtains, but also waistbands, breastplates, sashes and other garments of the High Priest.

Exodus 36 gives us details of the colors utilized in the veil of the Tabernacle depicting the Cherubim. Let’s consider some of this color symbolism in the services of the Tabernacle and Temple.

Exodus 36:35-36 And he made a veil of blue, and purple, and scarlet, and fine twined linen: with cherubims made he it of cunning work. And he made thereunto four pillars of shittim wood, and overlaid them with gold: their hooks were of gold; and he cast for them four sockets of silver.

The veil hung from four pillars, representing the terrestrial number, and the earth’s orientation to the four Cardinal Directions of the horizon. The symbolism of the number four is prominent in the imagery above, not only in the four pillars holding the Tabernacle’s veil, but also in the four colors of the Tabernacle shown in the veil. The four colors are blue, and purple, and scarlet, and fine twined linen. Blue represents peace, showing us the presence of God and is seen in the Son of God as the Prince of Peace. Purple represents royalty, and is seen in Christ the King of Kings. Scarlet or Red represents blood, and is seen in the innocent blood of the Man Jesus Christ, the high priest offering his perfect sacrifice and sin offering of his own life for our redemption. The linen was white, symbolizing the purity and righteousness of the Servant of God. Thus the four colors of the Tabernacle collectively embody the four-fold ministry of Jesus Christ as the chief cornerstone in the four gospels: Matthew, Mark, Luke and John, showing his dominion over all Creation. We also find a relation in these four pillars corresponding to the four Cardinal Directions, known as the equinox and Solstice seen on the ecliptic and Equator at the four-corners of the heavens. These four cardinal points correspond to the tribes, zodiacal signs and colors as follows:

Eagle/Aquila [replacing Scorpius below]
North/Scorpion/Scorpius/Dan/White (omitted in Num. 24, & Ps. 75:3ff)
East/Lion/Leo/Judah/Purple. (Numbers 24:9)
South/Man/Aquarius/Reuben/Red. (Numbers 24:7)
West/Bull/Taurus/Ephraim & Manasseh/Blue (Numbers 24:8)

The Four Cardinal Points

The vision of Ezekiel at the river Chebar describes these living creatures, specifically their four faces, matching the signs of the four Cardinal Directions of the heavens. As we have noted regarding the North, it was omitted for a number of reasons, which we will handle in more detail shortly. In the North we find the face of the sign Aquila the Eagle [Ezek. 1:10], replacing that of his natural born enemy, the Scorpion/ serpent, as is evident in the triple sign of the man Ophiuchus, as he wrestles Serpens the serpent, while stamping out the light of the star Antares, in the heart of Scorpius the scorpion. Ezekiel’s vision is recorded below.

Ezekiel 1:3-11
The word of the LORD came expressly unto Ezekiel the priest, the son of Buzi, in the land of the Chaldeans by the river Chebar; and the hand of the LORD was there upon him. 4And I looked, and, behold, a whirlwind came out of the north, a great cloud, and a fire infolding itself, and a brightness was about it, and out of the midst thereof as the colour of amber, out of the midst of the fire. 5Also out of the midst thereof came the likeness of four living creatures. And this was their appearance; they had the likeness of a man. 6And every one had four faces, and every one had four wings. 7And their feet were straight feet; and the sole of their feet was like the sole of a calf’s foot: and they sparkled like the color of burnished brass. 8And they had the hands of a man under their wings on their four sides; and they four had their faces and their wings. 9Their wings were joined one to another; they turned not when they went; they went every one straight forward. 10As for the likeness of their faces, they four had the face of a man, and the face of a lion, on the right side: and they four had the face of an ox on the left side; they four also had the face of an eagle.11 Thus were their faces: and their wings were stretched upward; two wings of every one were joined one to another, and two covered their bodies.

Hebrew Armillary Sphere  1

The matching of the faces of these four living creatures with the four signs at the cardinal points in Numbers 24, is worth a closer look. First, this correlation with the four Cardinal Directions of the horizon seems an obvious celestial reference, supported by the celestial wheels within wheels connected with these Cherubim, [Ezek. 1:16, 20-22, 10:1-22]. These wheels relate to the celestial structure of the ecliptic and the Equator, as one wheel is pictured above within the other, and the points where they cross are the equinoxes. One Hebrew word for “wheel” in Ezekiel, [10:2 & 10] is galgal [*H1534], a variation of Gilgal [*H1536], the “Hill of God,” [I Sam. 10:5] where Joshua set up an altar of twelve stones [Josh 4], one for each of the twelve tribes of Israel. The word galgal is also the root origin of our word “Galaxy,” showing a celestial application of these wheels even into the modern day. Similar to the stellar reference of the 12 precious stones of the High Priest’s breastplate, as symbols of the twelve signs of the zodiac, Joshua’s altar marked the entry of the 12 tribes into the promised land, that was first deeded to Abraham [Gen. 13:14-15]. God marked the end of the Israel’s sufferings in the wilderness even as He had marked their exit from Egypt, with a miracle of parting of the waters, both of the Red Sea at the start of the 40 years in the wilderness, and of the Jordan River at the end. He also marked the beginning of Israel’s reign of kings both in the anointing of Saul, along with the first Passover in the promised land at Gilgal. Joshua 5:9-10 has a figurative portrait of this initial Passover, as these “wheels of God’s justice” rolled over the heathen that stood in Israel’s way. Thus when we view the two phases of the return of the promised seed, first in his sufferings second in his glory, we can see the following division along the lines of Jesus’ ministry as seen in the four gospels:

Sufferings

He came as a man/Son of Man/Luke/Aquarius
He sacrificed his life/Servant/Mark/ Eagle for Scorpion

Glory

The Son coming in judgment/Son of God/John/Taurus
The Lion-king of Judah rending his prey/King/Matthew/Leo

The 4 primary colors of the Tabernacle not only embody the ministry of Christ, but also a Phi relation to the color spectrum and to the musical scale. As we investigate this field of study we can perhaps gain insight into movements of the Creator’s symphony of sound and light.

For example Fibonacci numbers appear in the musical scale and in pure harmonic intervals like the octave [2:1], the fifth [3:2], and major and minor sixths [5:3] and [8:5]. Also the entire overtone series is based on golden ratios. The octave divided by a perfect fifth, (13/20), produces the golden ratio. The perfect fifth divided by an octave, (8/13), produces the golden ratio. The perfect fourth divided by a major sixth, (6/10), produces the golden ratio. And The major third divided by a perfect fifth, (5/8), also produces the golden ratio. The overtone series appears across various forms of music, and is a natural order of notes that is played by horn instruments. The phi ratio not only rules over the musical scale but also over the structure of musical instruments.

Phi Ratio in the Construction of a Violin

Stradivarius violin design using phi, the golden ratio or golden section, in its design

In Part 1 of this study seen in our May 2017 Blog post, we noted a correlation in the structure of DNA both to the Fibonacci and Lucas number series. As Jean-claude Perez suggested there is a strong link between DNA and golden ratio in 1991,[1] then later in 1997 in his book l’ADN décrypté[2]. His work shows that relative proportions of nucleotides within coding DNA sequences like genes or RNA strings are governed by specific Fibonacci and Lucas number sets. The resulting “DNA supracode” is revealed by computing sets called “resonances” within any DNA sequencespecific nucleotide clusters like FFF (Fibonacci Fibonacci Fibonacci), LLL (Lucas Lucas Lucas), FFL (Fibonacci Fibonacci Lucas) or LFF (Lucas Fibonacci Fibonacci). An example of elementary FFF resonance: 144 contiguous TCAG bases contain exactly 55 bases T and 89 bases; A, C or G. This kind of screening is processed along the DNA sequence, for all possible Fibonacci/Lucas combinations, and for all possible values (example here 144-89- 55 are 3 consecutive Fibonacci numbers). There appear many “resonances”. For example, in the HIV whole genome, of about 9000 bases, there are more than 50,000 significant Fibonacci/Lucas resonances. The longer resonances (several hundred resonances) are overlapping about 2/3 of the whole HIV genome (6765 bases which is the 20th Fibonacci number-see chart below). 1

The Fibonacci and Lucas number series as reflections of the Golden Section are both additive, since each number is the sum of the previous two in the series, and the product of the previous term, multiplied by phi. No other number series displays these traits of geometric growth fusing both addition and multiplication. Yet it is also capable of division and subtraction as the Creator installed limits on the positive entropy of disorder and death in His reordering of the kingdoms in the fallen world. Thus like the nautilus that grows into the form laid out in the perfect geometry of its shell, various life-forms in the Kingdoms of Life follow the pre-ordained geometric patterns of growth, as built-in limitations to their species and genus. We find this stated in Romans below.

Rom. 8:19-23
19 For [even the whole] creation [all nature] waits eagerly for the children of God to be revealed. 20 For the creation was subjected to frustration and futility, not willingly [because of some intentional fault on its part], but by the will of Him who subjected it, in hope 21 that the creation itself will also be freed from its bondage to decay [and gain entrance] into the glorious freedom of the children of God. 22 For we know that the whole creation has been moaning together as in the pains of childbirth until now. 23 And not only this, but we too, who have the first fruits of the Spirit [a joyful indication of the blessings to come], even we groan inwardly, as we wait eagerly for [the sign of] our adoption as sons—the redemption and transformation of our body [at the resurrection]. 

The world is captive to sin and the destruction of entropy, as it groans for the redemption and deliverance of the Lord Jesus Christ, at his return. As the High Priest after the order of Melchizedek, Christ represents not only the restoration for all mankind, but all Creation. We can begin to see the impact of the Fibonacci number series as the determinant of the patterns of geometric growth in the 4 kingdoms of life, in the first 20 Fibonacci digits provided below.

Fibonacci Spirals in Nature and Science

“ Eu, eu mesmo… Afinal tudo, porque tudo é eu, E até as estrelas, ao que parece, Me saíram da algibeira para deslumbrar crianças… Que crianças não sei… Eu… Imperfeito? Incógnito? Divino? Não sei… Eu… ” — Álvaro de Campos 4-1-1935 Poesias de Álvaro de Campos. Fernando Pessoa. Lisboa: Ática, 1944 (imp. 1993). - 76.

Table A. The First 20 Fibonacci Numbers
n 1       Fn 1
2                1
3                2
4                3
5                5
6                8
7                13
8               21
9               34
10             55
11              89
12             144
13             233
14             377
15             610
16             987
17             1,597
18            2,584
19            4,181
20           6,765

Each [F number] represents the approximate geometric mean of its two adjacent numbers in the series. This geometric mean between the two numbers equals the square root of their product. In the numerical progression of this series, alternative [F numbers] require a +1/-1 correction. Lucas numbers operate on the same geometric mean principle, with a +5/-5 correction under the square root. This depicts how both series progressively converge on the Phi ratio to higher degrees of accuracy. A more direct relation between the two series is also apparent in that any 4 consecutive [F numbers] add up to the Lucas number linked to the 4th [F number]. Also odd [F numbers] sum to the next even [F number], while even [F numbers] converge to -1 of the next odd number.

Lucas series number values; [Ln] appear together with the first 10 Fibonacci numbers in the chart below for comparison: 4

n: 0 1 2 3 4 5 6 7 8 9 10
Fn: 0 1 1 2 3 5 8 13 21 34 55
Ln: 2 1 3 4 7 11 18 29 47 76 123

The Lucas numbers share many similar properties with the Fibonacci Number series. As we note the numerical relations between the Fibonacci and Lucas Number series, perhaps further insights will come to light. Thus it is noteworthy that every 3rd Fibonacci number is an even number since it is divisible by 2. Every 4th Fibonacci number is divisible by 3, and every 5th Fibonacci number is divisible by 5. Also every 6th Fibonacci number is divisible by 8.

As we consider the spiritual unity of the body of Christ, with each member reflectinging the spiritual abilities of Christ in them [Col. 1:27], each Christian believer embodies a unique aspect of Christ in the spiritual body of his Church. God has called this church together as it has pleased Him, and its perfect union is likened to and centered around the love in Christian marriage, [Eph. 5:22-31]. As we find the phi ratio expressed in the Temple & Tabernacle of Israel, not to mention the human body ideally expressed in the perfect man Jesus Christ, we can see the elegance of the divine expression of this unity geometrically portrayed via the proportional symmetry of the golden section.

Footnotes

1. Jewish Encyclopedia.com
2. Wikipedia on the Phi ratio in the Human Body and DNA
3. The Golden Section, Nature’s Greatest Secrets, Scott Olsen
4. [www.maths.surrey.ac.uk/hostedsites/R. Knott/fibonacci/lucasNbs.html]

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NaturalLaw

Biblical Astronomy of the Phi Ratio in the Temple/Tabernacle of Israel

The Infinite and Eternal perfect wisdom of the Almighty is illustrated for mankind perhaps most beautifully on earth in the sacred Architectural principles governing the structure and dimensions of the Temple and Tabernacle of Israel. The manner in which the Creator set the symbolic mathematical and geometric structure of Israel’s Temple and Tabernacle to portray the order of His Creation, is a key element of this present study. A prime example of this includes the application of the Phi ratio in God’s Creation.

This study endeavors to illustrate aspects of the application of the Phi ratio in the Temple and Tabernacle by the Almighty, and how Christ embodies these principles at the pinnacle of Creation. It is important to realize at the outset that as we study these appearances of the Phi ratio in the Word of God, their application as seen in Scripture far out weighs any application in Greek philosophy or history, or any human application of these principles for that matter, because the perspective of the All-powerful Omniscient Creator of Heaven and Earth, has purposes far beyond those of mortal man, as the Prophet Isaiah tells us.

Isa. 55:7-11
Let the wicked forsake his way, and the unrighteous man his thoughts: and let him return unto the Lord, and he will have mercy upon him; and to our God, for he will abundantly pardon. For my thoughts are not your thoughts, neither are your ways my ways, saith the LordFor as the heavens are higher than the earth, so are my ways higher than your ways, and my thoughts than your thoughts. 10 For as the rain cometh down, and the snow from heaven, and returneth not thither, but watereth the earth, and maketh it bring forth and bud, that it may give seed to the sower, and bread to the eater: 11 So shall my word be that goeth forth out of my mouth: it shall not return unto me void, but it shall accomplish that which I please, and it shall prosper in the thing whereto I sent it.

The Science of God is not science for the sake of science itself, but as we study the application of scientific principles from the Hand of God, we can see how the Works of His Hands are manifested from His Spoken and Written Word. Many hold that the Bible is not a book of Science, yet where the Scriptures speak on Science and the Laws of Nature, they embody the inerrant perfect wisdom of God. Judaism practiced in Israel of the Old Testament had many feasts and sacrifices ordained in Scripture. These symbolic Old Testament sacrifices practiced in the Temple and Tabernacle were not just rituals without internal meaning, but ceremonies having true spiritual import. In this context, the Passover Lamb was a symbolic type of Christ, who embodied not only the benefits of the Old Covenant, but also the blessings of the New Testament, even those beyond in the third Heaven and Earth. The symbolism of the Temple and Tabernacle of Israel also provides a very strong case for the Intelligent Design principles utilized by God, in His temporal, physical and spiritual order of the Heavens and Earth.

As the old order of Aaron’s priesthood was fulfilled in Jesus as the High Priest after the order of Melchizedek, God reveals His perfect society, with Christ Jesus as the Head of his Body-the Church. Since Jesus Christ is the perfect man, he embodies an inclusive relevance for the entire body, soul and spirit of man, [I Thess. 5:23]. Only the fool chooses to ignore the inherent harmonies found throughout the Natural World, portraying these truths from the Spiritual World. A goal of this study is to help the reader grasp the potency of the Godly symbolism in Israel’s Tabernacle and Temple. As our study progresses we will note an emphasis on divine celestial order, revealed at a time long before like knowledge was asserted by the ancient Greeks, Babylonians or Egyptians. However, since the Creator was truly the source of the divine design of the Temple and Tabernacle, then we may expect to find unique symmetrical functions in their geometric order, related to kingdoms of life on multiple levels of God’s Creation. When we look to the witness of God’s Word we find these harmonies in their primary and divine context, as opposed to how these principles were applied later in mysticism, secular science, or cosmology. A basic pattern that emerges involves the plans for Israel’s Temple and Tabernacle as divine architectural expressions the gospel of the coming redeemer, written in the stars, serving as a sacred architectural fulcrum between the witness of the stars and God’s written Word. As we will see the divine patterns in the celestial structure are reflected on earthly levels in ultimately as they are embodied in Christ. Let’s begin by looking at a key application of the Phi ratio regarding the blueprints of the Temple and Tabernacle.

Ground-plan of the Tabernacle of Israel

Hebrew Tabernacle layout

In Exodus 25:8 God commands Moses to make a sanctuary for Him.

“Then have them make a sanctuary for me, and I will dwell among them. Make this tabernacle and all its furnishings exactly like the pattern I will show you.

It is noteworthy that when we examine the mathematical and geometric pattern God refers to here, it emerges from the sacred measures that Moses got from God by revelation, corresponding to the geometric canon called the Phi ratio or divine proportion. The God-given architectural plan for both the Tabernacle and Temple was designed to embody the framework of the celestial structure of Creation in miniature, on the earthly plane. This view is supported in the following quote from Nigel Pinnock, who details some key elements in the pattern given by God to Moses and David:

 The Tabernacle stood inside a court whose geometry was a double square [1 x 2 rectangle], 100 cubits long by 50 cubits wide. Inside the double square enclosure was a triple square 30 cubits long and 10 cubits wide. Its walls were constructed of wooden planks 1.5 cubits wide and 10 cubits high, held in line by strong horizontal bars of wood. The whole structure was covered with skins sewn together in strips 30 cubits long by 4 cubits wide. The Tabernacle was placed in the court towards the west, but with its entrance oriented east-wards, so that according to Josephus: “when the Sun arose it might send its first rays upon it.” The interior of the Tabernacle was divided into two compartments, a scheme which was copied later in the Temple…..The outer compartment called the Holy Place, was a double square 20 by 10 cubits, whilst the inner compartment, the Holy of Holies, comprised a single square. As the height of the Tabernacle’s ceiling was also 10 cubits, the Holy of Holies enclosure was thus a perfect cube (containing the Ark of the Covenant)….The Altar of Sacrifice was the outer equivalent of the Ark of the Covenant. It stood at the center of the outer of the two squares of the enclosureThis altar represented one of the two poles at the center of two squares-each upon its own center of polarity… The dimensions of the Temple, like the Tabernacle before it, were precisely detailed: [I Chron. 28, II Chron. 3]. A triple square double the size of the Tabernacle, and the walls of the Temple were hewn stone lined inside with wood overlaid with gold. The interior comprised a double square rectangular holy place, and a single square Holy of Holies. The interior was 20 cubits high, making the Holy of Holies again, a cubic enclosure. At the very center of the Holy of Holies stood the Ark of the Covenant which formerly had occupied the central point of the  of the Tabernacle… The actual entrance to the Temple was 5 cubits in width, and opened from a porch which comprised two squares of 10 x 10 cubits. It was this porch which supported the two pillars….Jachin and Boaz. 1

An example of the geometry for the 1 x 2 golden rectangle referred to above is seen below.

Plate 1. The Golden Ratio Rectangle

Here is a simple way to draw and understand a rectangle using the Golden Ratio:

Draw a square (of size “1”)
Place a dot half way along one side
Draw a line from that point to an opposite corner (it will be √5/2 in length)
Turn that line so that it runs along the square’s side

Then you can extend the square to be a rectangle with the Golden Ratio. This rectangle above shows us a simple formula for the Golden Ratio.

When one side is 1, the other side is:

The square root of 5 is approximately 2.236068, so the Golden Ratio is approximately (1+2.236068)/2 = 3.236068/2 = 1.618034. This is an easy way to calculate phi and related geometry we find in blueprints of the Temple and Tabernacle.

This is a key topic in our study of Biblical Astronomy principles evident in other studies on our [www.try-god.com] website, like The Calendar of the Biblical Patriarchs. This study points out among many other things that the cycles of the Sun and Moon are correlated via the phi ratio [1.618] in the 50-year Jubilee cycle, because there are 618 full moons every 50 solar years. This not only exhibits another phi relation in our solar system, but also links this divine knowledge to the Hebrew calendar as commanded in Levitcus 25. So, God has designed the phi ratio in our solar system, even as He has all the other phi/Fibonacci/ Lucas relations, throughout the Natural World, exhibiting the Creator’s symmetrical Intelligent Design across multi-levels of His Creation. The preponderance of the phi ratio through the Four Kingdoms of Life, is an awesome testimony to the Creator’s Temporal Order. This phi ratio, is arrived at by a scale invariant comparison. The relationship that becomes evident in this comparison is divine, because it is found throughout all levels of the Natural World, including the micro to the macro. In this comparison of the divine proportion, the whole is to the larger as the larger is to the smaller. This relationship is seen in Plate 1 above as the linear Phi ratio divided into the square root of 5/2 and 1/2. As we observe the appearance of the Phi ratio in the Temple and Tabernacle, we also find the examples of the two altars within the courts of the Temple/ Tabernacle pattern as a whole.

These ground plans of the Tabernacle and Temple of Israel depict the heavenly image of eastern access to God’s presence, via the High Priest’s annual ministry behind the veil, in the holiest of all. The pattern of access from the east mentioned above, holds true not only for Solomon’s Temple of the Old Testament, but also remained for the later Temple referred to in Ezekiel 43:1-5. The two celestial poles of the ecliptic / Equator are mirrored terrestrially in the physical counterparts of their altars, in both the holy of holies and the holy place. As Pinnock states, regarding the brazen altar of burnt offering:” This altar represented one of the two poles at the center of two squares -each upon its own center of polarity….”2

Image result for phi ratio temple/tabernacle of israel

This terrestrial arrangement mirrors the Venn Diagram at the North Astronomical pole, [Figure A.]. These two altars illustrate the bipolar structure of the heavens, seen not only in the galactic poles of the two great celestial circles of the ecliptic and the Equator in northern skies, but also in their reflection in the Earth’s magnetic and geographic bipolar system. The interplay between these galactic poles exhibits a precession of the poles, where the pole star receded from Thuban of Draco, to Polaris of Ursa Minor, over the last five thousand years, [as seen above in the banner for this study]. This embodies the shift of spiritual power from the dragon at the North pole to Cepheus the enthroned human king, [Christ at God’s right Hand] with the North Star Polaris under his feet [Eph. 1:19-22] in this precession of spiritual power. Within the common space shared between the poles of these two circles moving in opposite directions, lies the astronomical vesica or Venn Diagram of the North Pole. [Fig. A]

This quote above from Pennick gives us an indication of how the original principles of “sacred geometry” are preserved in the dimensions and measures of the Tabernacle and Temple and the corresponding elements of their walls, furniture, columns, curtains, altars, orientation, and architecture. This divine celestial plan modeled in the Hebrew Temple and Tabernacle, is the foundation of the “sacred geometry” adopted by Freemasons and others before them, who have tainted these truths in the defiled context of mysticism, divorced from their authentic roots in Judaism and the Astronomy of the Biblical Patriarchs. This study endeavors to return the roots of Astronomy to its genuine origins, dispensing with the corrupt astrological influence and heathen mythology of various ancient cultures and secret societies. Figure A illustrates the double square rectangle, based on the phi ratio, that provides key aspects of both the “pattern of the Tabernacle” and  Temple of Israel. [Heb. 8:5, Exod. 25:9, 40]

Figure A. The Northern Astronomical Vesica

celestial design of the heavens

This view powerfully depicts how the Temple and Tabernacle symbolized God’s celestial design of the heavens, seen in their two altars, mirroring the two poles of the ecliptic and the Celestial Equator. This also agrees with many of the principles seen in the pattern of God’s Intelligent Design inherent in His Creation. Since this God given “pattern of the Tabernacle” is constructed upon the phi ratio also known as the “divine proportion” or the golden section we find definitive Biblical evidence that this universally recognized standard of measure is truly divine in origin, since the dimensions of these sacred architectural structures were given by revelation from God to Moses and King David. By prioritizing a godly view of this evidence, it allows us to catch new glimpses of glories long hidden from the astrologers and empiricists, whose practices for too long have clouded the inherent grandeur of the Creator’s sacred architecture.

Figure B. The Plans of the Hebrew Temple and Tabernacle


Figure A
 above shows another view of the precession of the poles from the perspective of the interlocking wheels of the ecliptic and Equator, with the fish shaped lozenge of the vesica between them. This “vessel of the fish” is formed from the lozenge of these two inter-locking circles, the center of each located on the perimeter of the other. Archimedes called the formula associated with this, the “Measure of the fish,” and it is also linked to John’s Gospel record in [Jn. 21:11], where the disciples caught 153 fish following Jesus’ directions. Its import to math and geometry was found in the ratio of its height to its length [153:265], and that it represented the nearest whole number approximation of the square root of three, along with controlling ratios of equilateral triangles.3   

The dynamic celestial equator, the second circle secular in nature, relates to both the civil calendar year and the earthly Equator as it is mirrored above into the heavens. The movement of this equatorial pole around the static pole of the ecliptic is what is known as the precession of the poles. The intersection points of the ecliptic and the Celestial Equator are called the equinoctial points, which we know as the Spring and Fall equinoxes, the days when the length of daylight is equal to the dark of night. The altar in the Holy of Holies, keeping the Ark of the Covenant is represented in the sacred pole of the ecliptic, around which the equatorial pole moves, both wheels, inter-locked in the form of a Venn Diagram, depicting God’s personal presence among His people.

Figure C. The Ark of the Covenant

Image result for ark of the covenant images

Exodus 25:10 “Have them make an ark[b] of acacia wood—two and a half cubits long, a cubit and a half wide, and a cubit and a half high.[c] 11 Overlay it with pure gold, both inside and out, and make a gold molding around it. 12 Cast four gold rings for it and fasten them to its four feet, with two rings on one side and two rings on the other. 13 Then make poles of acacia wood and overlay them with gold. 14 Insert the poles into the rings on the sides of the ark to carry it. 15 The poles are to remain in the rings of this ark; they are not to be removed. 16 Then put in the ark the tablets of the covenant law, which I will give you. 17 “Make an atonement cover of pure gold—two and a half cubits long and a cubit and a half wide.

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

The measures of this Ark in the ratio of 2.5 to 1.5 is 1.666…, is a close rendition of phi (1.618). The Ark of the Covenant is thus constructed using the Golden Section, or Divine Proportion, and compares to the dimensions of Noah’s Ark [Gen. 6:15] also built in the same proportion as ten Arks of the Covenant along side each other. The measures of Noah’s Ark; 50 x 30 cubits, in breadth and height also a ratio of 5 to 3, or 1.666, is again the same approximation of the Phi ratio as the Ark of the Covenant. The ratio evident in both of these examples include numbers of the Fibonacci Series [1, 2, 3, 5, 8, 13…] where the two previous numbers in the series added together equal the third number. As this number series progresses, the higher numbers in the series converge in increasing levels of accuracy to the value of Phi 1.61803399… Thus the numbers 3 and 5 represent lower numbers in the series having a more general approximation to Phi. It is also notable that the phi ratio as seen in [Ex. 25:10], also appears in the King’s Chamber of the Great Pyramid.

Once Israel became centered in Jerusalem, the Ark of the Covenant moved from the Tabernacle to the Temple because the Ark represented not only the personal presence of God among His people-Israel, but it was also an ordained location where God met and talked to His people [Ex. 25:22]. The truth that the Holy of the Holies was where God manifested His infinite, All powerful presence in Shekinah Glory, in a way that His people could comprehend, finds its pinnacle in Christ, who declared God on the level of the senses more fully than any ever or will ever be done. Here we find another reason why God would utilize the Phi ratio to open the way of access for His people through Christ-into His Presence. Idea of the location where God presented Himself to His people, like Mt. Sinai was corrupted in heathen religions to the concept of an Axis Mundi, or “center of the Earth,” where devotees communed with idol gods of world religions, like the Oracle at Delphi. But with the Creator’s blueprint of the two altars of the Ark of the Covenant and the brazen altar of burnt offering centered in the Holy Place and the Holy of the Holies, mirrored at the North pole in the two celestial poles of the ecliptic and Equator, reflecting also the terrestrial and magnetic poles of the Earth, we find this pattern verified on three levels on earth and in the heavens. The celestial poles set the temporal standard on Earth as the terrestrial poles mirror their counterparts in the heavens. The two altars in the Temple/Tabernacle reflect the spiritual poles where the Almighty has made a way for man to meet and commune with his Maker. Lets now take a closer look at the outer Altar of burnt Offerings.

Figure D. Altar of Burnt Offerings
Image result for hebrew altar of burnt offerings images

In Exodus 27:1-2And thou shalt make an altar of shittim wood, five cubits long, and five cubits broad; the altar shall be four-square: and the height thereof shall be three cubits. And thou shalt make the horns of it upon the four corners thereof: his horns shall be of the same: and thou shalt overlay it with brass.

As we can see the Altar of Burnt Offerings that God commanded Moses to build is based on a variation of the same numbers of 5 x 3 in the Fibonacci Series: an altar of acacia wood, three cubits high; it is to be square, five cubits long and five cubits wide.” It was the perfect sacrifice of Jesus Christ the pinnacle and perfection of Humanity, as the head of his spiritual body embodying all the ideals and sacrificial offerings in the Temple and Tabernacle in human form. When Christ laid down his life, his one time sacrifice paid the price for all humanity, and as the perfect High Priest Jesus embodied the atonement not only for Israel, but all mankind. In John 2:19 Jesus says to “destroy this temple,” while he stood in Herod’s Temple in Jerusalem.

In effect Jesus’ contrasted the physical Temple wherein he stood, to his own physical body, the embodiment of the true templeJesus Christ, the 2nd Adam, is the consummate archetype, the finished model, and “chief cornerstone” not only for the nation of Israel as the Passover lamb and High Priest, but also for the Church of his spiritual Body, beginning at Pentecost after his resurrection and ascension. As the paragon of humanity, Jesus illustrated the highest standards of living spiritual principles in the prophetic illustrations of his life and ministry. Certainly, God did not record the symbolic dimensions of the design of the Tabernacle or the Jerusalem Temple, wherein Jesus stood when he spoke the words of John 2:19, without purpose. This perspective of John 2:19, depicts a prophecy of Jesus Christ in the Jerusalem Temple, representing this temple of stone and the bride of Israel in his physical body, that he laid down for Israel and all mankind in his crucifixion at Golgotha. Thus the plans of the Temple and Tabernacle are blueprints that Christ fulfilled in his ministry to Israel and all mankind. As we note the Phi Ratios in the structure of the human body, so we can see their pinnacle in Christ the head of the nation of Israel and the Church of Christian believers.

Thus it is with heightened interest that we point out the following ratios of the Phi proportion in the human body. Below we have two versions of Vitruvian Man, the first in Figure E, depicting the 17 various examples of Phi ratios in the human body. The Second in Figure F, shows the ideal man in relation to red and blue squares of the golden rectangle ground plans of the Temple and Tabernacle. The Third in Figure G depicts added examples of the Phi Ratio in the Human body.

Figure E. Vitruvian Man a.

Figure F. Vitruvian Man b.

Figure G. Human Body 4

Goldenratiohuman.gif
  • The human head forms a golden rectangle;.
  • The mouth and nose are each placed at golden sections of the distance between the eyes and the bottom of the chin.
  • Whole body height / head to fingertips = Phi;
  • Top of head to fingertips / head to navel and elbows = Phi;
  • Top of head to navel and elbows / head to pectorals and inside top of arms = Phi;
  • Top of head to navel and elbows / width of shoulders = Phi;
  • Top of head to navel and elbows / length of forearm = Phi;
  • Top of head to navel and elbows / length of shinbone = Phi;
  • Top of head to pectorals / top of head to base of skull = Phi;
  • Top of head to pectorals / width of abdomen = Phi;
  • Length of Forearm / length of hand = Phi;

length of finger knuckles/length of hand=phi

This display shows the Intelligent Design of the human body by the Hand of the Almighty Creator in His Omniscient Wisdom. All these aspects of the Phi Ratio in the design of the human body work together to make the some greater than its parts, so that we can see why many consider the human body the pinnacle of Creation. God made the human body to house human life, in body, soul and spirit, first in Adam and Eve, and ultimately the only begotten Son of God-Jesus Christ. This brings us to the design of the genetic code of human Life, DNA, which is the Creator’s signature as the Life-Giver [John 5:6, 17:3] as seen in the Four Kingdoms of Life on Earth.

DNA [the following research is found on Wikipedia and is suggested for further study]

Each cycle of the DNA molecule measures 34 angstoms long by 21 angstroms wide. 34 and 21 are Fibonacci numbers. The ratio of 34/21 is a more accurate approximation of phi, since it is further into the Fibonacci series than the previous examples of 3 and 5. Jean-claude Perez suggested there is a strong link between DNA and golden ratio in 1991,[1] then later in 1997 in his book l’ADN décrypté[2]. His work shows that relative proportions of nucleotides within coding DNA sequences like genes or RNA strings are governed by specific Fibonacci and Lucas number sets. This discovery was validated particularly on all known HIV and SIV (Simian Immunodeficiency Virus) retroviruses whole genomes with Professor Luc Montagnier (the discoverer of HIV virus) which called the discovery a “DNA supracode[3].

DNA supracode is revealed by computing sets called “resonances” within any DNA sequence: specific nucleotide clusters like FFF (Fibonacci Fibonacci Fibonacci), LLL (Lucas Lucas Lucas), FFL (Fibonacci Fibonacci Lucas) or LFF (Lucas Fibonacci Fibonacci). An example of elementary FFF resonance: 144 contiguous TCAG bases contain exactly 55 bases T and 89 bases A or C or G. This kind of screening is processed along the DNA sequence, for all possible Fibonacci/Lucas combinations, and for all possible values (example here 144 89 and 55 are 3 consecutive Fibonacci numbers). Then there appear many “resonances”. For example, in HIV whole genome, long of about 9000 bases, there are more than 50,000 significant Fibonacci/Lucas resonances. The longer resonances (several hundred resonances) are overlapping about 2/3 of the whole HIV genome (6765 bases which is a Fibonacci number). 4

Stay tuned for Part 2 of the Biblical Astronomy of the Phi Ratio in the Temple/Tabernacle of Israel which is coming this way soon!

Footnotes

1. Sacred Geometry, Nigel Pennick ppg. 58-62.
2. The City of Revelation, John Michel
3. The Star that Astonished the World, Earnest Martin p. 58
4. Wikipedia on the Phi ratio in the Human Body and DNA.

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NaturalLaw
The Biblical Astronomy of Pi Day, 3-14-2017

As we recognize Pi Day on 3-14-2017, its a great reminder to realize how the Creator utilized this famous mathematical proportion of Pi in Scripture and practically in the construction of His Temple and Tabernacle, which are patterns for the heavenly versions of the Creator’s dwelling place!

These applications of the Pi Ratio in the Bible, provide insights into the Creator’s Intelligent Design of His Creation, so that man would see the fingerprints of the Almighty embedded in the Natural Laws of the Universe, and the Mathematics of Astronomy, reflecting the same Pi ratio evident in the construction of the Great Pyramid.

cheops

What a great way to honor God and His Omnipotent Power and Wisdom as He illustrates the beauty of His Hand in operation in His Created Works…

This study is based on a study I posted on [try-god.com] over 15 years ago regarding the usage of the pi ratio in the Bible. The Hebrew word for “line” of thirty cubits, in 1Kgs. 7: 23 is “qav” [*H6957]. The word carries the primary meaning of a measuring cord, a ruler, or standard of measure in this case for circumference. We are also familiar with this concept by another term known as a “canon.” On the surface the Bible gives the basic mathematical value of pi as 3, but the surface is for the neophytes. The deeper truths of God’s Word lie below the surface, for those who have the heart and will to look for them. There are also clues in the text indicating potential mathematical truths hidden under wraps.

The letters of the Hebrew alphabet also have numeric value. As Jochen Katz points out: “we can take the ratio of (the gematria value of “qav“) in its unusual word form (having three letters), to the regular word form with two letters which is 111/106.12 The q is valued a 100; and the v is a value of 6; thus, the normal spelling yields a numerical value of 106.  The addition of the h, with a value of 5, increases the numerical value to 111. This equals a ratio of 111/106, or  31.41509433962, which is the essential pi value with the decimal moved one space to the left. Derived another way, the value of this ratio (1.047198) when multiplied by the Bible’s basic value of pi; (3) gives the result of 3.1415, or pi accurate to five digits. This formula is revealing because it employs the computation of a ratio hidden in the number values of the Hebrew language, yielding a higher degree of mathematical accuracy for the pi ratio, than its surface value of 3. This information is helpful when we consider the application of pi in the Great Pyramid, and in light of the other Biblical uses of the word “qav,” that we covered in the study referenced above. This sub-surface meaning of how pi is used in the Bible again stretches the envelope of the historical awareness of the scientific sophistication in the ancient world. Since this expertise is revealed as an aspect of the dimensions of the sacred furniture of the Temple and Tabernacle, it makes sense that God’s knowledge of these matters would far exceed human knowledge. This is exactly what Isaiah tells us:

Isa. 55:8-9
For My thoughts are not your thoughts, neither are your My
 ways, saith the Lord. For as the heavens are higher than the Earth, so are My ways higher than your ways, and My thoughts higher than your thoughts.

Only when we allow the Word of God to have its rightful say, are we allowed glimpses of His glory. We have seen that God’s use of Pi relating to the measures of our planet, the ecliptic, the “pattern of the tabernacle” [Heb. 8:5, Exod 25:9, 40] and the temple in Jerusalem, including the sacred geometry of the Menorah, revealing the Creator’s Omniscient wisdom and His Intelligent Design of Creation, far above any historical application of pi by man. Those who play with the surface values and external truths of the Scriptures in an effort to disprove it are doomed to fail. Only those who recognize God for Who He is, and give His Word the proper respect due it’s unique position in the history of literature, will even begin to see the wonders of His glory.

 

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SphnxDndera

End Times Prophecy of the Great Pyramid and the Pi and Phi Ratios

The Great Pyramid stands above the drifting sands of time, supremely dominating the Giza Plateau as the last remaining wonder of the ancient world. As both the literal and figurative axis mundi on the face of the earth, it is located at the center of the earth’s land mass at the head of the Nile River delta. As the nexus of Biblical Archaeo-Astronomy, it embodies a sacred cosmology that emerges from Scripture, as perhaps the world’s greatest architectural witness to the Coming Redeemer Jesus Christ. The words of the Prophet Isaiah capture this truth:

Isa. 19:19-22
19 In that day there will be an altar to the Lord in the heart of Egypt, and a monument to the Lord at its border. 20 It will be a sign and witness to the Lord Almighty in the land of Egypt. When they cry out to the Lord because of their oppressors, he will send them a savior and defender, and he will rescue them. 21 So the Lord will make himself known to the Egyptians, and in that day they will acknowledge the Lord. They will worship with sacrifices and grain offerings; they will make vows to the Lord and keep them.

In August 2015’s archive post;  The Great Pyramid-the Boundary Stone of the Promised Land  Part I, we covered in detail how the truths of these verses in Isa. 19 describe the Great Pyramid. As we mentioned above the;  The Great Pyramid is located at the center of the land mass of the earth. The east/west parallel that crosses the most land and the north/south meridian that crosses the most land intersect in two places on the earth, one in the ocean and the other at the Great Pyramid, which could be considered the navel of the earth.

Figure 1. Astronomical Alignments of the Great Pyramid’s Star Shafts

When we consider the Pyramid as an allegorical monument at the center of the earth’s geographical landmass, precisely oriented on the four points of the compass, we can see that God’s principles of Creation are opened to us on many levels because its axis alignment on the four compass points are joining geometric angles not only in space, but also in time. The exacting precision of the Pyramid’s orientation reveals first how it determines the boundaries of Egypt; {Isa. 19:19}, secondly, it shows an ancient knowledge of the earth’s dimensions which matches modern science’s knowledge 5000 years earlier, and thirdly it depicts the division of the heavens according to, not only the four cardinal points of the compass, but also the bi-polar model of the heavens including the great circles of the ecliptic and the equator. As a result the Great Pyramid unveils a foundation of spiritual truths in antiquity, revealed according to the code of a mathematical and geometric allegory, with both spiritual and scientific applications unveiling truth on multiple levels of study including; astronomical, geometric, architectural, geodesic, and geographical, among others. This combined testimony of the Great Pyramid provides a singular witness to the Omniscient power of the Creator, and Almighty God not only is the Sole Power capable of Creating our world and Universe we inhabit, but He left us unmistakable evidence glorifying Him as Creator. [Rom. 1:19-20]

Embedded in the mathematical and geometric principles governing the construction of the Great Pyramid are the key numerical constants Pi and Phi, as we mentioned in Part 1 of this post. Also if the height of the pyramid is taken as the radius of a circle, then the circumference of this circle is the same as the perimeter of the base. This provided the complimentary squaring of a circle and circling of a square. The key to this relationship is knowledge of the value of Pi, and designing the angle of the Pyramid to be exactly 51 degrees, 51 minutes, and 14.3 seconds.

Figure 2. Great Pyramid Sun-Moon-Earth Sacred Geometry

Along with other astronomical alignments with the passages and star shafts of the Great Pyramid, it is also the most accurately aligned structure in existence facing true north with only 3/60th of a degree of error. The position of the North Pole has moved according to the Precession of the Poles over time, but the Pyramid was exactly aligned at one time. These and other astronomical alignments unveil a system of revelatory Biblical Archaeo-Astronomy, as seen in Scripture [Gen. 1:14-17], encompassing the various calendars and celestial cycles linked with the Sun, Moon and Stars. This graphic includes the relation of the luni-solar cycles via the phi ratio [1.618] in each 50-year Jubilee cycle, of the Hebrew Calendar, because there are 618 full moons every 50 solar years. In Figure 3 below we find the dimensions of the Sun-Moon-Earth plan embodied in the Great Pyramid, all unified in the Base 60 number standard. On top of the diagram we see the diameter of the Moon equal to 2160 miles [6 x 6 x 60]. The Moon is flanked by two 3-4-5 triangles [in green] containing the capstone of the Pyramid. Below that, we see the diameter of the Earth equal to 7920 miles [12 x 660]. Here we find a standard of other related measures like 7920 inches in a furlong, of [660 feet] reflecting 7920 feet in a league. This earth commensurate standard is also found in the sides of New Jerusalem [Rev. 21:16] making it a cube of 12,000 furlongs, per side or 12000 x 660 feet equaling 7,920,000 feet.

Figure 3. The Great Pyramid and the Squared Circle [p. 70] 4

The combined Earth radius of 3960 miles with the Moon’s radius of 1080 miles are also shown in the graphic above, totaling 5040 miles. As Michell concluded, “using the actual proportions and dimensions of the solar system [based on pi and phi] the canonical figure of the 12 sided New Jerusalem is produced.”5  Here God has employed the dimensions of our planet and Moon contained as part of the geometric phi symphony of our solar system preserved in the the Great Pyramid and embodied in the measures of the New Jerusalem, relating to the divine canon of Scripture. These symmetric principles designed by God, into various living and non-living systems from the very beginning, do not appear as a result of any exclusive evolutionary process in Nature. Very simply, if this Symmetry is present at the outset, not in an isolated sense, but across all the kingdoms of life regardless of scale, then Intelligent Design is not only implied but, it becomes a given. Since we find varied manifestations of the phi ratio operating at the basis of the mathematical reality that underlies all Creation even at the quantum levels, we don’t discover or formulate it, we only observe it in its beauty and awesome detail. These principles of Symmetry in Creation don’t occur randomly, but they are seen systematically and on multiple inter-related levels and dimensions throughout all Creation. This is undeniable evidence of the Intelligent Design of the Creator.

These inherent mathematical and geometric principles governing the design of the Great Pyramid, are the basis of a universal system of measurements. For example, the curvature designed into the faces of the Pyramid exactly matches the radius of the earth. As Figure 2 above depict the geometric plans of the Sun-Earth-Moon system, we can see the key number 273 relating to the cycles of the Mean solar/sidereal days, the lunar cycle of 27.3 days, the same as the Sun spot rotational period, to name a few. We also find human biological gestation and menstrual cycles of the same length aligned to this model. With these and other dimensions of our planet built into the Great Pyramid, the greatest of the world’s ancient wonders, thousands of years before modern science was ever aware of this Omniscient knowledge, exploding the tenets of their evolutionary cosmologies, and any materialistic accounts of the origin of the Universe.

Abraham2

The banner above focuses on a phi/Fibonacci relationship in our solar system between Jupiter and Saturn in relation to the Earth, reflected in the line below the planets divided according to the phi ratio. This exhibits a phi relationship to the mean heliocentric distances of these planets. Even with Saturn itself we find several examples phi relationships. The diameter of Saturn is very close to a phi relationship with the diameter of its rings, as seen in the green lines. The inner ring division is in a relationship that is very close to phi with the diameter of the rings outside the sphere of the planet, as illustrated by the blue lines below. 6

Saturn’s Phi Dimensions

The Cassini division in the rings of Saturn falls at the Golden Section of the width of the lighter outside section of the rings. As the planets are dispersed in their orbital paths through our solar system, they reflect this phi relationship. But this is only one of these relationships among many in our solar system. If it was only a few incidents of phi, it could be written off to coincidence, but as we can see this is clearly not the case, as Johannes Kepler depicts for us in his Harmony of the Spheres, also seen in the structure of the musical scale.

Figure 3. Harmony of the Spheres

Geometry in space / Sacred Geometry <3:

We also find relationships of the Fibonacci Series and the phi ratio in the mean sidereal and mean synodic planetary cycles, not to mention their periods of revolution and mean orbital speeds, to include inverse velocity relationships, all based on the ubiquitous phi ratio. Again these multiple phi relationships on their own, might perhaps not be enough evidence to convince us of the Creator’s Intelligent Design, however once we see that all these individual planetary relationships fit together themselves in a phi spiral, or logarithmic spiral that operates as an exponential constant, organizing the entire order of our solar system, God’s Symmetry becomes much more difficult to deny. This is especially the case when we find that the beauty of this celestial phi symphony of our solar system is only a smaller reflection of the same phi spiral that highlights the rotational Symmetry of our spiral Galaxy in the Milky Way, also seen in other spiral galaxies in the Universe. Please go to the following link, that goes into greater detail regarding these truths than I have space for here. (www.spirasolaris.ca), 7

Figure 4. The Golden Ratio Rectangle

Here is a simple way to draw and understand a rectangle using the Golden Ratio:

Draw a square (of size “1”)
Place a dot half way along one side
Draw a line from that point to an opposite corner (it will be √5/2 in length)
Turn that line so that it runs along the square’s side

Then you can extend the square to be a rectangle with the Golden Ratio. This rectangle above shows us a simple formula for the Golden Ratio.

When one side is 1, the other side is:

The square root of 5 is approximately 2.236068, so the Golden Ratio is approximately (1+2.236068)/2 = 3.236068/2 = 1.618034. This is an easy way to calculate phi and related geometry we find in our next example.

This is a key topic in our study of Biblical Astronomy principles which are evident in other studies on our website, like The Calendar of the Biblical Patriarchs. This study points out among many other things that the cycles of the Sun and Moon are correlated via the phi ratio [1.618] in the 50-year Jubilee cycle, because there are 618 full moons every 50 solar years. This not only exhibits another phi relation in our solar system, but also ties this divine knowledge to the Hebrew calendar as commanded in Levitcus 25. Thus, God has designed the phi ratio in our solar system, even as He has all the other phi/Fibonacci/Lucas relations, throughout the Natural World, instituting them at the foundation of His Creation, giving glory to His Omnipotence in His loving outreach to man. We find Scriptural evidence of this is in Jeremiah 31.

Jeremiah 31:35
Thus saith the Lord, Which giveth the Sun for a light by day, and the ordinances of the Moon and of the stars for a light by night, Which divideth the sea when the waves thereof roar; the Lord of Hosts is His name:

The Hebrew word for “ordinance” here, is also used in Job 38:33, in reference to the “ordinances of Heaven” in an astronomical context [Job 38:31-32]. This Hebrew word for “ordinance” is also used referring to Natural Law as seen in Job 28:26, in the context of the Laws of Nature, as prescribed by God concerning the “rain, lightning and thunder.” The laws of the golden section, govern many aspects of the Natural World, and exhibit the Creator’s symmetrical Intelligent Design across multi-levels of His Creation. The preponderance of the phi ratio through the Four Kingdoms of Life, in both living and non-living systems is an awesome testimony to the Creator’s Temporal Order, as seen in our Solar System. This phi ratio, aka. the “Divine Proportion,” is arrived at by a comparison. The relationship that becomes evident in this comparison is divine, because it is found throughout all levels of the Natural World. In the comparison of the divine proportion, the whole is to the larger as the larger is to the smaller. As we observe the Natural World, if we follow this exemplar pattern of the divine proportion, we will compare the larger with the smaller, in the context of the whole. The Figure 5 graphic below also exhibits the phi ratio in a linear context as we have already seen.

Figure 5. The Golden Rectangle

divine proportion

We start with a simple square ABCD. Using a (dotted) line from the midpoint of one side of the square to an opposite corner RC, as the radius, we can construct an arc CE, that defines the limits of a new rectangle AEFD. When we use the endpoints of this arc, we can complete this rectangle; a golden rectangle, exhibiting the golden section. The idea of proportion is also used to compare individual parts, first to each other, then the whole. Numerically, this comparison is expressed as we have shown in the Birth of Abraham banner, above with a line divided under the planets into two parts, where the ratio of the whole line to the larger part is the same as the larger part to the smaller. This is mirrored in Figure 5 above, in the line FD, divided at the golden sectionC.” Thus the divine proportion relates the smallest aspects of Creation to the largest, showing God’s Hand underwriting it all. Some dynamic examples of this are found in the golden rectangles of the Hebrew Tabernacle and Temple. The Tabernacle is a one by two double square rectangle, which is not only the foundation of the blueprints of the Temple of David and Solomon, but also the Ark of the Covenant and the King’s Chamber based on a 3-4-5 triangle of the Great Pyramid, which has the same dimensions as the Ark [Ex. 25:10]. More details on this can be found in our study of the Celestial Symbolism of the Hebrew Temple and Tabernacle. 8 Since God revealed the dimensions of these sacred enclosures to Moses and King David by divine revelation, we have undeniable proof that the principles of the golden section and phi ratio are utilized as an aspect of the Creator’s Omniscient wisdom and Intelligent Design throughout all levels of Creation [Prov. 3:19]. The Divine power and energy of the Omnipotent Creator resonates in, and through every level of the Works of His Hand, and as we give Him His due credit for His awesome Works, we can join the harmonious chorus of Nature that sings His praises. This linear expression of the phi ratio is also seen in the curved line arc of a logarithmic spiral, reflected in the arc-CE in Figure 5 above. This illustrates the dynamic growth pattern found in the largest spiral Galaxy, to the smallest of human embryos. Below we find added examples of the geometry of the Golden Ratio Rectangle applied to Sun-Earth-Venus orbits.

Ö Period of Venus * Phi = Distance of the Earth

Ö 2.5490 * 1.6180339 = 1.5966 * 1.6180339 = 2.5833

In addition, Venus orbits the Sun in 224.695 days while Earth orbits the Sun in 365.242 days, conforming to an 8/13 ratio that are successive Fibonacci numbers. Thus 5 conjunctions of Earth and Venus occur every 8 orbits of the Earth around the Sun and every 13 orbits of Venus.

Mercury, on the other hand, orbits the Sun in 87.968 Earth days, with an Earth conjunction every 115.88 days.  Thus there are 365.24/115.88 conjunctions in a year, or 22 conjunctions in 7 years, which is very close to Pi! 9 This value for Pi is also arrived at using the Fibonacci number series. As we relate the Phi ratio to the Fibonacci number series, it is possible to use consecutive [21-34-55] Fibonacci numbers to obtain an accurate relation for the diameter of the circle without dependence on Pi. If the Fibonacci number 21 is taken as the diameter of a circle, its circumference will be 66 [55 x 6/5] accurate to the thousandth part, yielding the Great Pyramid value for Pi of 22/7, [3.14285]. 10 The higher Fibonacci numbers utilized produce numbers closer in accuracy to Pi values, relating to the design of the Pyramid’s dimensions incorporating the length of the shortest degree of Latitude at the equator.

In our most recent blog post in July, 2016  we showed how Daniel Matson has not only depicted the astronomical and geometric Pyramid relationships with planetary unions depicted on Rosh Hashanah in Sept. 20/21 2017, but as we can see in his graphic below, he points out the Phi pattern of the Venus-Jupiter, Venus-Mercury conjunctions leading to the Fall of 2017.11 Curiously, this pattern seems to align with the a version of the golden rectangle geometry illustrated above conforming to the phi order of our solar system. As noted in June’s blog, the three Mercury-Venus Conjunctions taking place this year with the most recent one on July 16th, Matson depicts in [Fig. 6] below this month’s VenusMercury union in a phi relationship with the 1st JupiterVenus unioon Aug. 18th, 2014. The end date of this phi relation is Sept. 23rd, 2017, the date of the replay of the Rev. 12 sign in Virgo. When we consider the VenusJupiter Conjunction of Oct. 25th, 2015, in this mix we have three key planetary conjunctions all involving Venus the bright and Morning Star in a phi relation leading to the Rev. 12 sign on Sept. 23rd, 2017.

Figure 6. Phi pattern of Venus conjunctions 2014-2017.

Certainly the Almighty has plainly shown those who do not willfully ignore the abundant evidence, how He is moving Heaven and Earth according to the perfect symmetric design in the works of His mighty Hand, warning mankind of the impending return of His only begotten Son. He has made Salvation available in Christ alone, so that even a fool need not err therein, [Rom. 10:9-10, John 3:16]! Let us not fall into the trap of the wisdom of this world, which is foolishness unto the Almighty.

Footnotes

1. The Great Pyramid-the Boundary Stone of the Promised Land
2. http://blog.try-god.org/end-times-prophecy-of-the-great-pyramid-and-the-pi-phi-ratios/
3. City of Revelation, John Michell [ppg. 31-32]
4. IBID p. 70. Picture credit
5. IBID ppg. 62-63
6. http://www.goldennumber.net/solar-system/
7. (www.spirasolaris.ca)
8. Celestial Symbolism of the Hebrew Temple and Tabernacle.
9. http://www.goldennumber.net/solar-system/
10. Secrets of the Great Pyramid, Peter Thompkins, Livio Stechini
11. Daniel Matson

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