Here is a link to a website (not affiliated with TLHS Publishing) dedicated to explaining how to find the Golden Ratio manifested in nature:
http://www.youtube.com/watch?v=gGeYr3byGe8&feature=related
http://www.youtube.com/watch?v=lAbGCV8EqY4&feature=related
There are many videos on youtube.com that talk about the golden ratio. I cannot endorse all of the material presented in these videos, because they were not all produced by Bible-believing Christians, and so include some content that I find objectionable. But I have included these links to let you know of their existence, and to get you started in your exploration of this subject. None of them say anything about the Golden Ratio in the Bible, except to note that Noah's Ark and some of the items in the Tabernacle, such as the Ark of the Covenant, were constructed according to the Golden Ratio.
The material I will present here supplements the information on goldennumber.net, and these other sources.
On this page, I will show how God built the Golden Ratio pattern of UCCOO into nature in ways that until now have not been understood.
Recall that the manner in which the Golden Ratio is manifested in the Bible is one Unique, two Complementary, and two Opposite: UCCOO.
These characteristics come from the first five numbers in the Fibonacci Sequence: 1, 2, 3, 5, and 8.
0 + 1 = 1
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
First, some basic math terminology definitions:
1) integers are all non-fraction numbers that include both positive and negative values (e.g. ...-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,...)
2) The Fibonacci Sequence of numbers: 0, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc.
Zero (0) is ignored, because it is nothing; it is the designation of emptiness, so it has no significance in the Bible format.
Notice in the list above that 1 is Unique, because it is the addition of nothing (zero) and itself. The number one stands alone in the positive integers (non-fractions).
The number 2 is the addition of 1 and 1, and the number 3 is the addition of 1 and 2, so both 2 and 3 have 1 as an "addend", and 1 is the starting number in both cases; also, both 2 and 3 are next to each other, so these two numbers are complementary to each other. Finally, both 2 and 3 share 1 as an addend, and are next to 1 in the Fibonacci sequence, so these three numbers form a special group: one Unique and two Complementary.
The numbers 5 and 8 are quite different from 1, 2, and 3: the number 5 is the addition of 2 + 3, while the number 8 is the addition of 3 + 5. Not only are these numbers not next to each other in the list of positive integers, but their addends are opposite (especially the number 3): 2 + 3 vs 3 + 5. So the number 5 and 8 are "Opposite", "Odd", or "Much Different" in their characteristics compared to the relationship of 1, 2, and 3.
Nonetheless, these five numbers form a distinct group within the Fibonacci Sequence because after the number 8, the numbers become meaningless as far as their characteristics go. For example, 13 is an evil number, associated with playing cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) [i.e. gambling], also 13 is associated with evil in many other contexts beyond playing cards; 21 is a good number (7 times 3), but it has no significance in the Bible that I'm aware of, certainly not in the format; and so on with the rest of the Fibonacci Sequence.
On the other hand, the numbers 1, 2, 3, 5, and 8 are all associated with good. False religions have taken some of these numbers (such as the "eight-fold path" in Buddhist teachings), but just because Satan has taken God's truth and twisted it to fit into his evil purposes, that doesn't change God's truth; we just have to recognize this and be discerning about what we see, hear, and absorb into our belief system, rejecting that which is evil, and accepting that which is good, biblical, and of God.
This page is dedicated to showing how these five characteristics of UCCOO (1 Unique, 2 Complementary, and 2 Opposite) are found in nature, as well as in the Bible, proving that there is only one true God who has created both us and the world and universe that we live in, and that one true God is found in the Bible, whose Name is the Lord Jehovah, manifested as 3 Persons within the 1 Godhead: Father, Son, and Holy Spirit.
Clear Evidence of the Golden Ratio Format of UCCOO in Nature
The Golden Ratio UCCOO Format in the Human Body
Notice that we have one head, which is Unique; two legs, which COMPLEMENT each other in their function and position; and that we have two arms, which OPPOSE each other on each side
of the body (UCCOO). Considering that this same pattern is found on every page of the Bible, is this just a coincidence, or more evidence of Intelligent Design?
The Golden Ratio UCCOO Format in the Human Face
Notice that we have one mouth, which is Unique; two nostrils, which are side by side and therefore Complementary; and two ears, which are on Opposite sides of the head. Considering that this same pattern is found on every page of the Bible, is this just a coincidence, or more evidence of Intelligent Design?
The Golden Ratio UCCOO Format in the Human Hand
Notice the obvious UCCOO format in the fingers of our hands. Notice also that we have two pairs of hands, which make the pattern UCCOO - UCCOO. This is exactly the same pattern as found in every Book of the Bible, which has two Parts with five Chapters each; and those Chapters always have the pattern of UCCOO - UCCOO or OOCCU - OOCCU.
From the goldennumber.net website, http://goldennumber.net/hand.htm: "Each section of your index finger, from the tip to the base of the wrist, is larger than the preceding one by about the Fibonacci ratio of 1.618, also fitting the Fibonacci numbers 2, 3, 5 and 8. By this scale, your fingernail is 1 unit in length."
Considering that this same pattern is found on every page of the Bible, is this just a coincidence, or more evidence of Intelligent Design?
The Golden Ratio UCCOO Format in the Solar System
(Graphic from http://schools-wikipedia.org/wp/s/Solar_System.htm)
Notice that the Solar System is organized into two groups of objects: the inner planets and the outer planets, divided by the Asteroid Belt.
Also note that the Solar System is surrounded by another Asteroid Belt, called the Kuiper Belt.
My, my, what a "coincidence"! Two groups of five (including the Sun and Pluto). Where have we seen this before? Is it possible that we will also find the UCCOO format in these two groupings? Let's see.
Above is my Photoshop graphic which attempts to make this a little clearer.
The Inner Planets plus the Sun:
[U] Mars: smaller than both Earth and Venus, thin atmosphere
[C] Earth: thick atmosphere, breathable, about equal in size and mass with Venus
[C] Venus: thick atmosphere, non-breathable, about equal in size and mass with Earth
[O] Mercury: no atmosphere, tiny in size compared to all other bodies in this region.
[O] Sun: no atmosphere, extremely massive in size compared to all other bodies in the Solar System
The Outer Planets plus Pluto (all have rings except Pluto):
[U] Pluto: not considered a real planet due to size, but orbits in an elliptical path to the solar plane, passing from within the Kuiper Belt to within the orbit of Neptune. The other dwarf planets in the Kuiper Belt do not come within the orbit of Neptune. Ceres remains within the Asteroid Belt. So Pluto is Unique among the dwarf planets in this respect. It is also Unique compared to any of the gas or ice giants among the outer planets.
[C] Jupiter: massive "gas giant" planet, somewhat larger in diameter than Saturn, mostly hydrogen and helium (Wikipedia, Jupiter)
[C] Saturn: massive "gas giant" planet, somewhat smaller in diameter than Jupiter, mostly hydrogen and helium (Ibid, Saturn)
[O] Uranus: called an "ice giant" because its temperature is much colder than Jupiter, Saturn, and even Neptune. It radiates hardly any excess energy into space. Unlike Neptune, which radiates 2.6 times as much energy as it receives from the Sun (Ibid, Uranus). Uranus also is oriented at 97.77 degrees to the plane of the Solar System, so that the north pole is pointed at the Sun, and the south pole is pointed outward from the solar system. Uranus is the only planet in the Solar System to have such a radical orientation. Uranus is also composed of methane and ammonia, in addition to hydrogen and helium, so it is quite different from Jupiter and Saturn.
[O] Neptune: called an "ice giant" for the same reasons as Uranus, but in contrast with Uranus, it radiates more than twice as much energy into space as it receives from the sun. Also, the orientation of Neptune is similar to Earth and Mars, in stark contrast to Uranus, which rotates with its north pole pointed at the Sun.
The Golden Ratio UCCOO Format in the C Major musical scale
"C major (often just C or key of C) is a musical major scale based on C, with pitches C, D, E, F, G, A, and B. Its key signature has no flats/sharps." (Wikipedia, C Major).
"A major scale may be seen as two identical tetrachords separated by a whole tone, or whole step, the new set of steps "Whole:Whole:Half:Whole:Whole:Whole:Half"(in Semi-tone 2 2 1 2 2 2 1). Each tetrachord consists of two whole steps followed by a half step" (Ibid).
Why the C Major scale? It is the only scale that contains no sharps or flats; therefore it is the most basic and fundamental tonal scale of all. The octave relationship is a natural phenomenon that has been referred to as the "basic miracle of music," the use of which is "common in most musical systems." It may be derived from the harmonic series as the interval between the first and second harmonics." (Wikipedia, Octave)
"After the unison, the octave is the simplest interval in music. The human ear tends to hear both notes as being essentially "the same", due to closely related harmonics. Notes in an octave "ring" together, adding a pleasing sound to music. For this reason, notes an octave apart are given the same note name in the Western system of music notation—the name of a note an octave above A is also A. This is called octave equivalency, the assumption that pitches one or more octaves apart are musically equivalent in many ways, leading to the convention 'that scales are uniquely defined by specifying the intervals within an octave'" (Ibid, Octave)
(Graphic from Wikipedia)
Clearly, the musical octave is a special unit of sound. Because God created all things, including the electromagnetic spectrum (Genesis 1:3), which includes both visible and invisible light and sound; and because we find the Golden Ratio UCCOO format in so many other areas of human life, including the human body and the solar system; and because there is a striking similarity between the octave (8 notes), and the Golden Ratio format of the Bible, in which there are eight Volumes with a 3 x 5 organization, I believe also that God designed the same Golden Ratio UCCOO format into the basic structure of sound and music, specifically.
Taking from the quote above of the nature of the notes, we find:
[C] C: whole-tone (stands alone)
[C] D: whole tone (stands alone)
[U] E: half-tone (bridges to a whole-tone)
[U] F: whole-tone (bridges to a half-tone)
[C] G: whole-tone (stands alone)
[C] A: whole-tone (stands alone)
[O] B: half-tone (in-between two whole tones)
[O] C: whole-tone (repeats the first tone)
I don't think that it is a coincidence that the 3 x 5 Golden Ratio UCCOO pattern is found in both the Bible and in nature. In fact, in the next example from nature, we can see the exact same pattern, and it is astonishing.
The Golden Ratio UCCOO Format in the Chemistry Table of Elements
(Graphic from https://sites.google.com/a/ggwo.org/ggca_science_lab/Home/chemistry/chemistry-elements-and-the-periodic-table)
Now this subject is not simple, so I am going to try and keep it as simple as possible and refrain from complex terminology and concepts so that most Christians will be able to at least get the gist of what I'm trying to get across. And it is entirely possible that I may not get all of the information exactly correct, as I've only had a single semester of General Chemistry in college, and therefore only an introduction to this subject. However, everything I've studied tells me that I'm on the right track, and if I get something wrong, I will depend on my readers to email me with corrections. Please do so if you see something wrong.
The first concept that is important for getting started here is that each one of these blocks above represents an element. Each element (such as hydrogen, helium, iron, cobalt, etc) has a specific number of electrons, protons, and neutrons that is associated with the basic element (not considering ions etc).
Keeping it as basic as possible, every element has an "outer shell" of electrons that are in "orbit" around the atomic nucleus of protons and neutrons. Depending on the element, there may be one or many electron shells in orbit around the atomic nucleus. These "shells" (not a completely accurate term, but sufficient for our purposes) can be thought of like the planets in orbit around the sun, except that there may be far more than just one electron in the same orbit/shell. The electrons in the outermost shell in every case are called "Valence" electrons.
For example, Hydrogen has just one electron in orbit around the nucleus, so it has one Valence electron. Helium has two electrons in orbit (and only one shell), so it has two Valence electrons.
For a good primer on this subject of electron shells and with far more information than I want to put on this page, see this webpage on Wikipedia.
Now, the graph of the Table of Elements above tells us immediately how many Valence electrons are normally in the outer shell for each element. #1 (Hydrogen) has only 1 valence electron; #2 (Helium) has two, #3, Lithium (Li) has 1, #4 (Beryllium) has 2 Valence electrons, and jumping to #10 (Neon) has 8 Valence electrons.
The Table of Elements has 7 vertical rows (the number of perfection), and eight horizontal rows (remember the number 8?). The vertical levels are the number of electron SHELLS for the elements in a particular level; the horizontal levels show the number of electrons in the outermost shell. The elements on all levels have no more than 8 electrons in their outer (Valence) shell; the only exception is that Hydrogen and Helium on level one have no more than 2 electrons. Here is another graphic from Wikipedia to illustrate better what I'm trying to say:
http://en.wikipedia.org/wiki/File:Periodic_Table_of_Elements_showing_Electron_Shells.svg
Now, an interesting characteristic of the outer Valence electrons is that they "want" to combine themselves with other elements so that they will have a total of eight electrons in their outer "Valence" shell. For example, number 17 in the above Table is Chlorine, and it has 7 Valence electrons in the outer shell. Number 11 in the Table is Na or Sodium, and it has 1 electron in its outer shell. These elements of Chlorine and Sodium naturally combine with each other to create Salt, or Sodium Chloride (NaCL). These two elements combine to form a single molecule of Sodium Chloride (7 + 1 electrons = 8 total). Once two elements combine themselves in this way so that there are 8 electrons in the outer shell, it is an extremely strong and stable chemical bond that can only be broken by extreme heat or other chemical methods.
To illustrate this fact further, all of the elements on the far right (#10 (neon), #18 (Argon), #36 (Krypton), and #54 (Xenon) are extremely stable elements that make excellent fire suppression gasses. The reason this is so is that each one of these has a full Octet of eight electrons in their outer (Valence) shells. Therefore, since they do not "want" or "need" any additional electrons to complete their Octet, they do not react well with other elements, and so are able to suppress fire very effectively.
So, with those facts in mind, let's look at the elements in level two of the Table:
Lithium (1 Valence electron)
Beryllium (2 Valence electrons)
Boron (3 Valence electrons)
Carbon (4 Valence electrons)
Nitrogen (5 Valence electrons)
Oxygen (6 Valence electrons)
Fluorine (7 Valence electrons)
Neon (8 Valence electrons)
Without getting into all of the complexity of Chemical combinations, ionization, and so forth, and using the list above as a basic reference, Lithium, Beryllium, and Boron want to "donate" their electrons to another element such as Nitrogen, Oxygen, and Fluorine. Neon needs no electrons, since it already has 8 electrons in the outer shell. Conversely, Nitrogen, Oxygen, and Fluorine attract electrons from elements such as Lithium, Beryllium, and Boron to combine with them so that they will have a full octet of electrons in their outer shell. As best as I can determine, the two elements in the middle, Carbon and Nitrogen can go either way: either donating or attracting electrons.
So, here is the UCCOO Format using the above list, very similar to the Octet Golden Ratio pattern for music:
[U] Neon (has 8 electrons - attracts none)
[C] Fluorine (has 7 electrons - attracts 1)
[C] Oxygen (has 6 electrons - attracts 2)
[O] Nitrogen (has 5 electrons - attracts 3)
[O] Carbon (has 4 electrons - attracts 4 or gives up 4)
[C] Boron (has 3 electrons - gives up 3)
[C] Beryllium (has 2 electrons - gives up 2)
[U] Lithium (has 1 electron - gives up 1)
This same basic pattern is the same throughout the Periodic Table of Elements. I would like to hear from anyone with a degree in Chemistry or higher who disagrees with me on the above information. If I've gotten something wrong, I would like to know about it.
Is this repetition of the number eight in the Periodic Table of Elements just a coincidence or yet more evidence of intelligent design in God's Creation? The fact that we see the Golden Ratio UCCOO format yet again, is powerful evidence, in my opinion, that the Golden Ratio format of UCCOO is the wonderfully unique way that God has chosen to reveal His handiwork upon his Creation as only He could: in the human body, in the Solar System, in music, and even in the Table of Elements that make up all of His Creation. Let's look at some Scripture verses to close this section:
"Have you not known? Have you not heard, that the Everlasting God, Jehovah, the Creator of the ends of the earth, faints not; neither is weary? There is no searching of his understanding." (Isaiah 40:28)
"Is anything too hard for Jehovah?" Genesis 18:14
"And he (Christ) is before all things, and in him all things are being held together." Colossians 1:14
So there you have it! The Holy Bible has the UCCOO Golden Ratio pattern on every page, and it proclaims that Jehovah is the only true God. The Solar System also has the UCCOO Golden Ratio pattern shown in the characteristics of the Sun and planets, including the Asteroid Belts acting as boundaries between the two groups. The human body has the UCCOO Golden Ratio pattern shown in the hands, the feet, the face, and the design of the body itself. Even the Periodic Table of Elements, and the basis structure of the C Major musical scale shows evidence of the same UCCOO Golden Ratio pattern. How anyone could possibly deny these things is completely beyond me.
All of these things together add up to only one conclusion and a number of conclusions growing from that first one: there is only one true God, the Triune Jehovah God, and one true Savior for mankind, the Lord Jesus Christ (Jehovah God walking in a Temple of human flesh), and the Bible is the only true Revelation of God to mankind; and therefore all other gods, religious writings, and prophets are false.
From that one conclusion, we can confidently say that Heaven and Hell are real, and that you and I are going to end up in either one or the other. As for me, I have been a born-again, Bible-believing Christian since August 31st, 1982, and I have absolutely no doubt in my own soul that my soul is safe and secure in the arms of my Lord Jesus Christ. Can you say the same thing? Are you saved? Or have you been a Bible-doubter or even a Bible-denier? There is no sin too great for Jesus Christ to forgive, except the one sin of your rejection of Jesus Christ as your personal Lord and Savior. That one sin cannot be forgiven, either in this world or the next.
I urge you right now to bow your knees to Jesus Christ in Heaven, acknowledge to Him that you are a sinner, and ask Him to come into your heart through His Spirit and save you from your sins. Jesus loves you very much and came all the way from Heaven to earth, just so that He could die on the cross to pay the penalty for YOUR sins. Then He rose again from the dead after 3 days, and returned to Heaven, awaiting the Father's time to return to earth and bring earth under His direct rule and control. Are you ready for His coming? We do not know the hour or the day when He will return, but we know from His perfect Word that it will happen, and it is likely to be very soon.
Here is a prayer that you can pray to receive Jesus Christ and KNOW that you will go to Heaven when you die:
"Dear Lord Jesus, I've sinned against you, and deserve to go to Hell. But I know that you died on the cross for me, and I ask you now to forgive me of my sins, and come into my heart, and save me. I now reject all false gods and religions, and want only you, the true God, to be my Lord and Savior from sin.
Please make me what You want me to become, and help me to live for you every day. In Jesus' Name I pray, Amen"
