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PI (Pie) Day, Divine Proportion, Golden Proportion, Golden Number PHI, Fibonacci Series

By Ion Saliu, Founding Father of Mathematical Atheism

Read a book on PI Day, Pie, Divine Proportion, Golden Ratio, Golden Number, PHI, Fibonacci Series.

I. Theory: Mathematics of PI (Pie) Day, Circle
II. Mathematics of Divine Proportion, Golden Number PHI, Golden Proportion
III. Relation between Divine Proportion and Fibonacci Numbers
IV. Divine Proportion, Golden Ratio, Golden Number and Real Life
V. Historic Beginning of PI Day: American Revolution

The book of Divine Proportion, Golden Proportion, Golden Number, Divine Number, Golden Ratio PHI.

Authored on 3.14 00:00:00 2002; latest update 3.14.15.
First capture by the WayBack Machine (web.archive.org) on April 20, 2002.

1. Mathematics of PI Day: PI, (Pie), Circle

It was exactly 00:00:00 3.14 — the very beginning of an ordinary day for most people, including most Americans. But not for the inside circle in the White House. Again, there was absolutely nothing noticeable around or inside the White House last night. Yet, it was, it always has been, it will be so, the most important moment of the year! PI Day! Some pronounce and even write it as Pie Day.

Specific to the American civilization, the date is expressed as 213, instead of the international method of 123 (ascending order: day - > month - > year). March 14 is expressed as 314, therefore 3.14, therefore the inception of the number PI. PI is the divine number that no human can ever calculate precisely (except for a numerical system with PI as its base). It is at the heart of divine circle. “The area of the circle is equal to PI times Radius square.”
PI is the result of dividing the circumference (perimeter) of the circle (L) by its diameter (D). The great Greek mathematician Archimedes was the first to calculate PI. He approximated PI to 3.14, a value still in wide use today (in the decimal system).

π = L / D

"Why so - month - > day - > year?" terrestrials everywhere wonder.

I am fortunate to have learnt recently a very tight secret. It was passed on to me from a scholar who desired to remain unidentified. The scholar has also remained outside the Internet revolution, unable to write HTML files and author websites. My Web site is the reason she decided to share with me the tightest secret in human civilization. In turn, I promised to make public extraordinary information via the Internet, on my Web site.

When the most precise atomic clock beams exactly 00:00:00 3.14, Almighty Number visits with the President of the United States. The President himself bakes a large apple pie. Procuring the ingredients is an extraordinary opération d'état. It is code named Newton's Pie. Almighty Number cuts it into the perfect circle. Then, Its Almighty slices it into portions precisely calculated by the Golden Number or Divine Proportion.

Almighty Number always gets to eat the 61.8% slice. Even though represents only 38.2% of the divine pie, the presidential slice is quite impressive by human standards. Not all Presidents have been able to eat entirely the presidential slices of the pie. Legend has it that skinny Abe Lincoln would have gained reasonable weight, had he eaten to the last bite his presidential slices of the Newtonian pie.

Original treatise of Divine Proportion, Golden Proportion, Golden Number, Divine Number, PHI, PI.

2. Mathematics of Divine Proportion, Golden Number, PHI

The Golden Number gives the shape of the entire Universe. Think of it as of those spiral shapes of the galaxies. The Divine Proportion is also found in the human body. The Great Masters, such as Leonardo da Vinci, always used the Divine Proportion in their masterpieces. One can find the Golden Number in Mona Lisa's face, as the ratio between the height and the width of her smiling face. Or vice versa, as the ratio between the width and the height of her melancholic face. Some think of the Golden Number as the Fibonacci series. In fact, the ratio of any two consecutive numbers in the Fibonacci series tends to approximate the Divine Proportion. The ratio will be equal to the Golden Number in a series with an infinite number of elements.

Let's take a segment and divide it into two parts, a and b. There are two conditions that lead to the Golden proportion:

1) b greater than a (b > a);
2) a/b = b/(a+b).
(The Ancients, by the way, expressed the Divine Proportion in mystical chants comprehensible only to highly initiated cult members. “I am the mean and the extreme!”, they were chanting.)
If we make a + b = 1, the relation a/b = b/(a+b) leads to the well-known equation:

x² + x - 1 = 0.

Let's apply the quadratic formula to get the two roots known as the golden number (or that kind of idiotic label of ”divine” proportion):

−b ± √   b2 - 4ac 
          2a          

The two roots of the equation are known as The Golden Number or PHI:

Φ = {Sqr(5) ± 1} / 2 = 1.618033989..... or PHI = 0.618033989.....

Normally, if big / small then Φ = 1.618
if small / big then Φ = 0.618

(Side bar: In the English speaking nations, some write it as Go(l)d(en), indicating the Golden Number as the manifestation of God.)

The most mind-boggling expression of the Golden Number is an infinite series of 1, in the form:
(Φ = 1 plus (1 over (1 + (1 over) (1 + 1 over))))… and so one to infinity. It looks more like a stairway all the way down to minus infinite. The initiated say it is the stairway Almighty Number takes to descend to the earth.

Learn how to draw precisely the divine proportion or golden ratio.

3. The Relation Between the Divine Proportion and the Fibonacci Series (Fibonacci Numbers)

The Fibonacci Series is also known as Fibonacci Numbers. Many natural phenomena grow in proportions following the Fibonacci Series. For example, the rabbits multiply in a Fibonacci progression. In fact, the Fibonacci series has its origin in that natural phenomenon.

Many people are familiar with a string of numbers such as this one: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, etc. The Nth term of the Fibonacci series is constructed as the sum of the two preceding terms; e.g. 55 = 21 + 34. The term #10 = the term #8 + the term #9.

There is a natural correlation between the Fibonacci numbers and the divine proportion, or the golden number PHI. The ratio between two consecutive numbers in the Fibonacci Series tends to the Golden Number Φ: 0.618… or 1.618… As in the example above:
Fibonacci #9 / Fibonacci #10 = 34 / 55 = 0.61818…
Fibonacci #10 / Fibonacci #9 = 55 / 34 = 1.61764…
Any three Fibonacci numbers a, b, c satisfy the relation c = a + b. Thus, the ratio b /(a + b) tends to the golden ratio or golden number. The longer the Fibonacci series, the closer the ratio of two consecutive terms to the golden number PHI.

I wrote a program to generate Fibonacci numbers and to calculate the golden ratio: Fibonacci. You can download it from my free downloads site. The software is freeware. One need not be a … golden child in order to run Fibonacci! The Fibonacci numbers grow very big after 50 terms or so. Try first the defaults: up to 1000 terms and screen display. Read a more detailed analysis:
Fibonacci Progressions.

The Universe is random, but it shapes the logarithmic function, related to Divine Proportion or PHI.

4. The Divine Ratio, Golden Number and Real Life

It's the mathematical Stairway to and from Heaven, from minus Infinite to plus Infinite, and infinitely vice versa. There has to be something about the Divine Proportion. Not only did it lead to such a divine visual masterpiece — Mona Lisa.

It also brought to life a divine audio masterpiece: Led Zeppelin's Stairway to Heaven. The musical mystics “think” that the distance between the notes of Stairway to Heaven can be represented by the PHI golden number. Did you know that one radio station in Florida plays Stairway to Heaven over and over, the New Year's Eve? They do not play any other song, December 31 until New Year's Day, January 1, 00:00:01. Humans get addicted especially to the divine…

I must make this confession here. I was preoccupied with the divine proportion in my pre-philosophical past. I wrote my first and only novel (never to be published!) following strictly the requirements of the golden proportion. The number of words per line over the number of lines per page had to be compatible with the golden number ratio. The number of lines per page over the number of pages in the book had to lead to the divine proportion. I still have the manuscript here. I never read the story more than once. I only take measurement of the divine proportion parameters sometimes.

A beloved lover of the opposite even measured our parts and she did come up with the precise golden proportion. The measurements made me lose consciousness one day. "We are sentenced to immortality," she warned me. She and I abruptly went different ways; we never, ever, said good-bye to each other. We may believe we'll see each other again on the stairway to heaven.

She and I had many secret names, code names of sorts. We even invented a secret alphabet. We had used first the Greek alphabet in our native tongue mixed with some French and English. Many people figured out the alphabet easily. She named me Caravaggio, while I called her Caravaggia. The feminine, you know. We were not violent like the painter who is the most human philosophical artist of all time. Say human, say sinner, but don't hide the sins. Caravaggia and I are just unconventional. We hate convention, because defies a fundamental Universal law: Change. And things change following the Divine Proportion. Beautiful sometimes, horribly sometimes — depends on the Perspective.

PI Day is a literary attempt by Ion Saliu, a non-believer in anything divine!

5. The Historic Beginning of PI Day: The American Revolution

The PI Day started on March 14, 1776, during the Independence War. Highly secret records show that George Washington gave the order “We shall Circle them!” It is said that at that moment, mid-night sharp, 3.14, 1776, Almighty Number descended on the Divine Stairway to the battlefield. The American revolutionaries formed a devastating circling of the British troops. Not only the war was won, but the world changed forever on PI Day 1776.

"You shall always worship Me and only Me”, Almighty Number thundered. “You shall build a world upon my laws, and formulae, and equations! And you shall always celebrate Me every year, at this very moment!"

There are many hints of that memorable event. Look at the seals of the US government. They are the representation of the perfect circle! The first flag of the United States represented a circle of stars! The thirteen stars represented Almighty Number and Its Twelve Hours.

There are no religious symbols in the government of the United States. Doesn't that fact alone raise serious questions? How was that possible, in a strongly religious (Christian) society, in an era when religion even decided life or death? The symbol of the cross is nowhere to be found in the armory of the United States! It is said that Almighty Number ordered in a lightening manner: “You shall not use my operational symbols as symbols of your passing power! For the cross resembles +, my symbol of addition. For I add and I take randomly, but you can't and shall not!”

The Confederate States used the “X” symbol during the Civil War. “I shall punish them with a vengeance! For X is my reserved operational symbol of multiplication. For I multiply and divide as I randomly please, but you shall not!” One reason the division of the United States was so cruelly stopped: The X on the Confederate flag.

Well, yes, there is also the circular shape of the nuclear explosion…

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Science Software: Statistics, Probability, Odds, Combinatorial Mathematics, Algorithms.

I wish to each and every one of you a happy PI Day — male and female, leftist and rightist, sinner and saint, friend and foe! May Almighty Randomness grant us always the divine proportion between our hopes and our endeavors! And thus we shall not count things we lapse and discount blessings we touch.

Probability Book has valuable implications, including Golden Number PHI, PI, Divine Proportion. Read Ion Saliu's first book in print: Probability Theory, Live!
~ Discover profound philosophical implications of the Formula of TheEverything, including the important numbers Divine Proportion, Golden Number PHI, PI.

Divine Proportion or Golden Proportion, Divine Number found in Da Vinci Mona Lisa, La Joconde.

For the English speakers who search the Internet on the pronunciation of PI, PHI, Fibonacci, da Vinci:
The Greek symbol φ or Φ PHI is pronounced like Fee.
The Greek symbol π or Π PI is pronounced like Pea.
Fibonacci is pronounced like Fee-boh-NAH-chee.
da Vinci is pronounced like dah VIN-chee.