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http://www.youtube.com/watch?v=j9e0auhmxnc
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 a Golden Rectangle
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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."
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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.
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Noah's Ark uses a Golden Rectangle
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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.
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The Number 666 is related to Phi
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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."
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| This beast, regarded by some as the Anti-Christ described by John, is thus related to the number 666, one of the greatest mysteries of the Bible.
Curiously enough, if you take the sine of 666º, you get -0.80901699, which is one-half of negative phi, or perhaps what one might call the "anti-phi." You can also get -0.80901699 by taking the cosine of 216º, and 216 is 6 x 6 x 6.
The trigonometric relationship of sine 666º to phi is based on an isosceles triangle with a base of phi and sides of 1. When this triangle is enclosed in a circle with a radius of 1, we see that the lower line, which has an angle of 306º on the first rotation and 666º on the second rotation, has a sine equal to one-half negative phi.
In this we see the unity of phi divided into positive and negative, analogous perhaps to light and darkness or good and evil. Could this "sine" be a "sign" as well?
In addition, 666 degrees is 54 degrees short of the complete second circle and when dividing the 360 degrees of a circle by 54 degrees you get 6.66... The other side of a 54 degree angle in a right angle is 36 degrees and 36 divided by 54 is .666.
Phi appears throughout creation, and in every physical proportion of the human body. In that sense it is the number of mankind, as the mysterious passage of Revelation perhaps 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.
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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.
http://goldennumber.net/bible.htm
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www.youtube.com/watch?v=r6lovJQ6FAg8 Dic 2009 - 10 min - Subido por nanitusi
Add to el numero de oro phi matematicasby elclaveldelajurado484 views; Thumbnail 10:00. Add to ...
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www.youtube.com/watch?v=j9e0auhmxnc8 Mar 2007 - 6 min - Subido por EderNauta
Matemáticamente todo forma parte de un número muy especial Phi=(1,6) "la ... proporción", llamado también ...
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books.google.com.ar/books?isbn=0835606910...John Anthony West, John Anthony West - 1993 - History - 266 páginas
(A double cycle, which would express the Golden Section, comprises fifty years; 618 = ((J) — 1) x 1000. It is interesting that this is the cycle given by the African ...
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Haz hecho público que te gusta. Deshacer PDF/Adobe Acrobat de M LIVIO - Citado por 337 - Artículos relacionadosGolden Ratio provides us with an intriguing mingling of the two defi- nitions in that, while .... Illustri is: "A number used to indicate each of the years of the lunar cy- cle. ..... record, a bone of a wolf with fifty-five incisions (twenty-five in one se- ries and ...... Scribes and Businessmen, and according to Abu'l-Wafa, it " comprises all ...
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books.google.com.ar/books?isbn=0892811943...Richard Heath - 2004 - Body, Mind & Spirit - 148 páginas
Jupiter has innovated 309/25 lunations in a practical year because the number 309 is half of 618 (0.618 x 1000) and forms an excellent approximation to ...
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Life Goal: Transform Everything. The Golden Ratio & Noah's Ark Fascinating Sequence Leonardo Fibonacci, Italian mathematician, discovered ...
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Phi and the Solar System
The dimensions of the Earth and Moon are in Phi relationship, forming a Golden Triangle
The illustration above shows the relative sizes of the Earth and the Moon to scale.
- Draw a radius of the Earth (1)
- Draw a line from the center point of the Earth to the center point of the Moon (square root of Phi)
- Draw a line to connect the two lines to form a Golden Triangle (Phi).
Using dimensions from Wikipedia and geometry's classic Pythagorean Theorem, this is expressed mathematically as follows:
| |
Dimension
(km) |
Proportion
(Earth=1) |
Mathematical
Expression |
| Radius of the Earth |
6,378.10 |
1.000 |
A |
| Radius of the Moon |
1,735.97 |
0.272 |
|
| Earth Radius + Moon Radius |
8,114.07 |
1.272 |
B |
| Hypotenuse |
10,320.77 |
1.618 (Φ) |
C |
| Hypotenuse / (Earth Radius + Moon Radius) |
1.618 (Φ) |
|
A²+B²=C² |
This geometric construction is the same as that which appears to have been used in the construction of the Great Pyramid of Egypt.
Source: Hidden Nature by Alick Bartholomew. Thanks to Sathimantha Malalasekera for bringing this to my attention.
Certain solar system orbital periods are related to phi
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Certain planets of our solar system seem to exhibit a relationship to phi, as shown by the following table of the time it takes to orbit around the Sun:
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| |
Mercury |
Venus |
Earth |
Jupiter |
Saturn |
| Power of Phi |
-3 |
-1 |
0 |
5 |
7 |
| Decimal Result |
0.24 |
0.62 |
1.0 |
11.1 |
29.0 |
| Actual Period |
0.24 |
0.62 |
1.0 |
11.9 |
29.5 |
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Saturn reveals a phi relationship in several of its dimensions
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| The diameter of Saturn is in a phi relationship with the diameter of its rings, as illustrated by the green lines.
The inner ring division is in a phi relationship with the diameter of the rings outside the sphere of the planet, as illustrated by the blue lines.
The Cassini division in the rings of Saturn falls at the Golden Section of the width of the lighter outside section of the rings.
Note: Phi grid showing Golden Ratio lines provided by PhiMatrix software.
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A closer look at Saturn's rings reveals a darker inner ring which exhibits the same golden section proportion as the brighter outer ring.
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Venus and Earth reveal a phi relationship
Venus and the Earth are linked in an unusual relationship involving phi. Start by letting Mercury represent the basic unit of orbital distance and period in the solar system:
| Planet |
Distance
from
the sun
in km (000) |
Distance
where
Mercury
equals 1 |
Period
where
Mercury
equals 1 |
| Mercury |
57,910 |
1.0000 |
1.0000 |
| Venus |
108,200 |
1.8684 |
2.5490 |
| Earth |
149,600 |
2.5833 |
4.1521 |
Curiously enough we find:
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, creating a ratio of 8/13 (both Fibonacci numbers) or 0.615 (roughly phi.) 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, creating a conjunction with the Earth 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!
See more relationships at the Solar Geometry site.
Relative planetary distances average to Phi
The average of the mean orbital distances of each successive planet in relation to the one before it approximates phi:
|
Planet
|
Mean
distance
in million
kilometers
per NASA
|
Relative
mean
distance
where
Mercury=1
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Mercury
|
57.91
|
1.00000
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Venus
|
108.21
|
1.86859
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Earth
|
149.60
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1.38250
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Mars
|
227.92
|
1.52353
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Ceres
|
413.79
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1.81552
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Jupiter
|
778.57
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1.88154
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Saturn
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1,433.53
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1.84123
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Uranus
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2,872.46
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2.00377
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Neptune
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4,495.06
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1.56488
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Pluto
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5,869.66
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1.30580
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Total
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16.18736
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Average
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1.61874
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Phi
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1.61803
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Degree of variance
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(0.00043)
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Note: We sometimes forget about the asteroids when thinking of the planets in our solar system. Ceres, the largest asteroid, is nearly spherical, comprises over one-third the total mass of all the asteroids and is thus the best of these minor planets to represent the asteroid belt. (Insight on mean orbital distances contributed by Robert Bartlett.)
2005 unveiled the discovery of a 10th planet called 2003UB313. It was found at a distance of 97 times that of the Earth from the Sun. Its ratio to Pluto would thus be 2.47224, much higher than any previous planet to planet orbital distance ratio. Could it be that this is actually the 11th planet and the 10th planet will be found at an orbit whose ratio is 1.52793 times that of Pluto, preserving the phi average? Time will only tell, but if it happens remember that you heard it here first.
The shape of the Universe itself is a dodecahedron based on Phi
New findings in 2003 based on the study of data from NASA's Wilkinson Microwave Anisotropy Probe (WMAP) on cosmic background radiation reveal that the universe is finite and shaped like a dodecahedron, a geometric shape based on pentagons, which are based on phi. The the Universe page for more.
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