PHI, METATRON’S CUBE AND THE HOLY NUMBER 108

by Marty Leeds

Greetings World Mystery readers! This article is the second article in a continuing series dealing with sacred number, sacred geometry and gematria. In the last article we took a look at the ancient art of gematria which is the art of assigning numbers to letters, what is known to many as Kabbalah or Cabala, and we deconstructed the English Alphabet using the numbers 1 through 7. We will not be going over the cipher again in this article so please take the time to read the first article in this series to familiarize yourself with the mathematical structure of our English Alphabet before trying to read on. You can watch many videos discussing this cipher at www.martyleeds33.com or on youtube/martyleeds33 . I also have two books for sale, Pi – The Great Work and Pi  & The English Alphabet Volume 1, with a third, Pi & The English Alphabet Vol. 2 due out very soon.

The link for the video explaining the cipher is posted below and an abridged version of the cipher is shown here.   I have spent my entire adult life pursuing an answer for the meaning of this life and have always had an insatiable appetite for trying to understand this existence. I undertook this journey of discovery for many years knowing full well that there might not even be an answer to the big questions we all ask at some point in our lives: Why are we here? Is there a meaning to life? What happens when we die? Where did we come from? Is there a God? This pursuit led me into inquiring into many subjects – I have dabbled in physics, theology, philosophy, history, archaeology, astronomy, etc. This yearning to understand the nature of reality and our place in it reached a fever pitch within the last few years and my passion and constant drive to find my own personal truths led me straight into the heart of mathematics and geometry.

I undertook the study of mathematics within the last few years of my life and concentrated on it very heavily because I felt that mathematics held within its workings the answers to many of the mysteries and enormous questions surrounding the nature of our reality. Through immersing myself in mathematics and geometry, I came to understand that mathematics was indeed a language – one that has been shared by all advanced cultures in all epochs of time. After working with simple mathematical principles, mainly adding, subtracting, multiplying and dividing, I started to communicate with it, started listening to what it had to tell me and realized that beneath the seemingly insurmountable study of math, the core of its structure was simple, beautiful and held within it the patterns and essence of our creation. Like many, my experience with mathematics in high school was extremely off-putting. Math wasn’t something of cosmic import or something you could adore, appreciate or even, dare I say, have fun with, math was a headache and was something only brainiacs and bookworms pursued.

“Math is no more about equations than poetry is about spelling.” – Kalid Azad

During my numerical studies I ended up utilizing certain mathematical principles considered highly esoteric and numerological, such as decimal parity or digital root (something we will explore in depth in this article), mirroring numbers and number symbolism. Many contemporaries consider such methods as pseudo-scientific, but by employing these methods the numbers themselves seemed to be transmitting higher realms and orders of information. From where I sat, there seemed to be a whole enchilada of goodies and gems hiding just beneath the surface of number. And due to my inherent inability to “let sleeping dogs lie” If you will, I fully intended to dig up those gleaming bits of wisdom and truth and gaze at their glory.

Let me put my cards on the table, I am an outsider. I am auto-didactic and I learned everything I know about mathematics, geometry and gematria on my own, being highly influenced by many writers and researchers both new and old. The likes of Marko Rodin, Scott Onstott, John Michell, Robin and Richard Heath, Michael S. Schneider, John Anthony West, R.A. Schwaller De lubicz, Laird Scranton, Manly P. Hall and Santos Bonacci, to name just a few, were instrumental in helping me pursue the line of thinking that has led me to the discoveries I have put forth today. I am deeply indebted to these people and many others and without these scholarly heroes making enormous strides in their work, I would not be here writing this blog and putting forth my videos and books. That is a fact.

“If I have seen a little further it is by standing on the shoulders of giants.” – Isaac Newton

Coming in through the side door, having no professional experience and having no accreditations from any university has put me in a position to not be taken seriously by contemporary higher institutions of learning, by scientists or by scholars of all sorts – but it has also gifted me the blessing of having a fresh perspective on the world of language and math. My limited experience at the university level taught me that so many institutions of higher learning wish only to regurgitate the paradigm of knowledge accepted at the time. Most modern school systems do wish to push the boundaries or break the molds. Within mathematics, I saw an entire world left to be discovered – unchartered waters that our current system of thought was not willing to even send a little skiff out into. Upon getting my sea legs in mathematics, I in turn found myself getting drenched with the beauty of sacred number and sacred geometry.

“You never change things by fighting the existing reality. To change something, build a new model that makes the existing model obsolete.” – Buckminster Fuller

My goal in my on-going web series and within my books has been to try to merge mathematics and spirituality and relate them directly to the human being. Self-centered as it may sound, the question that I consistently asked was “What does all this have to do with me?” Through my own personal experience with number, and years of pursuing a personal philosophy and a certain line of thinking, I saw many correlations between theology, mythology, philosophy and the sciences. These subjects didn’t seem like separate entities but rather different aspects of an interwoven whole – a whole that could be intuited, grasped and understood with the magic of numbers. I had no set beliefs going into my pursuit. I wasn’t agnostic, atheist, Christian, Muslim or Jewish. I was not and am not a Freemason, a member of any sort of  underground or secret society, I don’t consider myself democrat or republican and I am not specialized in any particular field of research. The only thing I can honestly say is that I was open-minded and discerning about all the information I had accrued and gathered over the years and that mindset turned out to be the most important philosophy I ever undertook in my life.

“You want to be open-minded but not so much as to hear the wind whipping between your ears.” –Terence McKenna

The Golden Ratio PHI – A Key to Unlock the Heavens and Earth

Within the word philosophy consists of one of the most important mathematical ratios of all known by the ancient Greeks as Phi and Phee (PHI – loso – PHEE). Phi and its counterpart Phee are deemed the Golden Mean, the Golden Proportion and the Golden Ratio. This ratio is the number 1.618 and is the number upon which all of nature performs her balancing act. The word “mean” is defined as “occupying a position between two extremes” and it is within this number that all of nature blooms into magnificence. Through the very word philosophy, our ancestors were trying to guide us in our thinking, informing us that in order to truly pontificate, ponder, ruminate and ultimately understand the workings of our cosmos, one would need to immerse himself in the power of number. Phi was not just some arbitrary number or ratio somehow manifested through mindless chaotic universal construction but a key to unlock the door to certain universal truths within the sacredness of the Heavens and Earth.

“Whoever cultivates the golden mean avoids both the poverty of the hovel and the envy of the palace.” – Horace

The ratio of Phi is understood mathematically as the total length “a + b” is to the length of the longer segment “a” as the length of “a” is to the length of the shorter segment “b”.

This proportion is expressed on the human body.

From the bottom of your feet to your navel equals 1 and the navel to the top of your head equals .618, making you, the complete man, approximately 1.618. From your elbow to your wrist equals 1 and your wrist to the end of your middle finger equals .618, making your complete arm, roughly 1.618.

This ratio constructs the human temple and is a tool to help one recognize that the human being is indeed a balance or mean between the two extremes of the as above and the so below. You are the central balancing node between the Heavens above and the Earth below. The Golden Mean is a ratio to help establish meaning in your life. It is there to help you understand this world rationally.

“In order to come to an UNDERSTANDING of this world, you first need to know what you are STANDING UNDER and what is UNDER what you are STANDING on – and these are of course the Heavens and the Earth. By contemplating these two eternal concepts you may just come to the UNDERSTANDING that they balance each other by nothing more and nothing less than yourself.” – Claudia Pavonis

We can find the Golden Ratio within the Fibonacci Sequence. The Fibonacci Sequence is a sequence that was rediscovered in the 13th century by the French mathematician Leonardo of Pisa, also known as Leonardo Fibonacci. The sequence was originally formed to calculate how rabbits multiply when they mate. The series grows accruing terms that come from within itself, taking nothing from outside the sequence of growth. This pattern spirals as it grows to fruition. This spiral pattern is evident all throughout nature: tornadoes, sunflowers, ocean waves and pine cones all form from this fundamental sequence. From the first term, 0 the Fibonacci Sequence grows by simple addition.

By taking a number later in the sequence and dividing it by its predecessor we can find our holy ratio of 1.618. Example: 144 / 89 = 1.618…. Many people nowadays are familiar with the Fibonacci Sequence and this will undoubtedly be a review for many readers. Even if you are not familiar with the sequence, you have surely seen its wonders play out in the world. Even your credit cards and IDs are created by the ratio of Phi.

We can also find this ratio within the balancing number in our number line, the number 5. The number 5 is the balancing point between the numbers 0 and 10 (or 1 and 9).

A Pentagram (penta meaning 5) encodes 1.618 as well if we measure the smaller half of one of the arms of the star, it will proportion out to .618 with the larger half being 1. Human beings are constructed using the number 5. We have 5 senses, 5 fingers on each hand, 5 toes on each foot and 5 extensions from our torso. Phi and Phive are intimately linked to the construction of the human being.

The Holy Number 108

In this article, we will be exploring in depth the very holy number 108 and its relationship to the Fibonacci sequence and the number 5. If you notice above, the number 108 is the number of degrees between the top arms of the pentagram. The number 108 is a number that has shown its face time and time again throughout history and is, in the opinion of this author, a key vertex in the archetypal architecture of our creation. What is so important about this number? In both Pi – The Great Work and Pi & The English Alphabet Vol. 1 I highlight some of the many places this number shows its face. They are listed below:

• There are 54 letters in the Sanskrit alphabet, and each has masculine and feminine (shiva and shakti) qualities. 54 times 2 equals 108.
• The Indian Subcontinent rosary, or set of mantra counting, has 108 beads.
• In the Krishna tradition, there were said to be 108 gopis of Krishna
• The radius of the Moon is 1,080 miles.
• The number 108 is used in Islam to refer to God.
• The Chinese Buddhists and Taoists use a 108 bead mala, which is called su-chu, and has 3 dividing beads, so the mala is divided into three parts of 36 each.
• The Sikh tradition has a mala of 108 knots tied in a string of wool, rather than beads.
• There are 9 planets in the Solar System and 12 ages of the Zodiac. 9 x 12 = 108.
• Atman, the human soul or center, goes through 108 stages on the journey.

There are many more examples of where this number 108 shows its face but these few are enough to make us ask the questions;

• Why 108?
• Where did this number come from?
• Why is it so special and consistently seen across the world?
• Why does it seem to be attached to spiritualties such as Sikh, Hinduism, Taoism and Buddhism?

We are going to find this Holy 108 within the spiraling unfolding Fibonacci sequence. It is interesting to note the similarities between the words SPIRitual and SPIRal.

Decimal Parity

In the last article we briefly touched on the ancient numerological practice known as decimal parity. Decimal parity is a method not used in contemporary mathematics but is one that was utilized by mystics, magis, astrologers and spiritual philosophers of the past. Termed decimal parity, digital root, Pythagorean addition, Kabbalistic reduction and Theosophical addition, this technique breaks any number down to the numbers 1 – 9 and in doing so allows one to view not just the quantity, but the quality and essence of a number as well.
The modern approach to math does not allow for such “numeric trickery”.  Modern science and mathematics leaves basically no room for interpretation or for a philosophical understanding of number itself. Numbers were not created by man – numbers are the creation of nature and of the divine and the more ways we can understand this natural language, the more we will understand our Earth, our cosmos and ourselves. Simply put, decimal parity gives us another way of speaking the language of God.

So how exactly does decimal parity work?
Decimal parity is simple. No matter how large or complex the number, we can break it down to its decimal or digital root.

For example, let’s look at the number 987,654,321. By combining the individual digits of this number, we can find its digital root by utilizing one of the most basic mathematical principles of all; addition.
9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 and 4 + 5 = 9
Therefore the essence, quality or decimal parity equivalent of 987,654,321 is 9.

Let’s try another. Let’s find the decimal parity equivalent of the number 361.
3 + 6 + 1 = 10 and 1 + 0 = 1
Therefore the essence, quality or decimal parity equivalent of 361 is 1.

We can now take this technique over to the Fibonacci sequence to see what this mighty sequence has to offer us. Shown below is the graphic for the breakdown of the Fibonacci sequence but this time with its decimal parity equivalents highlighted in green. Notice 13 now becomes 4, 21 becomes 3, 34 becomes 7, etc.

If we continue this process out, we will find a repeating string of 24 digits within the Fibonacci Sequence being the following:

(0), 1, 1, 2, 3, 5, 8, 4, 3, 7, 1, 8, 9, 8, 8, 7, 6, 4, 1, 5, 6, 2, 8, 1

This pattern of numbers will repeat itself ad infinitum due to the Fibonacci sequence’s self-generated process of growth with the only variation being the first term, or the digit ZERO. The first term in the sequence is a zero in the first cycle but becomes a 9 every cycle thereafter. (0/9) This difference is shown and highlighted below:

First sequence –
(0), 1, 1, 2, 3, 5, 8, 4, 3, 7, 1, 8, 9, 8, 8, 7, 6, 4, 1, 5, 6, 2, 8, 1
Every sequence thereafter –
(9), 1, 1, 2, 3, 5, 8, 4, 3, 7, 1, 8, 9, 8, 8, 7, 6, 4, 1, 5, 6, 2, 8, 1

We will not be going over the math here due to space constraints but if you would like to see the math, I have it highlighted in my book Pi – The Great Work, page 45. The first 24 numbers of the Fibonacci Sequence – before Decimal Parity reduction are:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657.

With, once again, its decimal parity equivalents being:

(0), 1, 1, 2, 3, 5, 8, 4, 3, 7, 1, 8, 9, 8, 8, 7, 6, 4, 1, 5, 6, 2, 8, 1.

If we add these 24 digits up, we find our holy number 108.

0 + 1 + 1 + 2 + 3 + 5 + 8 + 4 + 3 + 7 + 1 + 8 + 9 + 8 + 8 + 7 + 6 + 4 + 1 + 5 + 6 + 2 + 8 + 1 = 108

This sequence has been independently confirmed by several other scholars. Scott Onstott of www.secretsinplainsight.com and Jain of  www.jainmathemagics.com have both calculated this sequence. I came to find this through my own studies and it should be noteworthy to the reader that due to the fact that this number shows its face time and time again in many different cultures, we can easily conclude that this sequence has been re-discovered by many seekers throughout the ages. Luckily for our current age, this mathematical jewel is beginning to show its face again from the depths of obscurity, just quite possibly to remind us of the harmonious and simplistic nature in which the divine wishes to speak to us.

Metatron’s Cube

The spiral or spiritual nature of the Fibonacci sequence, as it unfolds, wishes to inform us about the cyclical nature of the cosmos. Planets, stars, galaxies, seasons and even life and death itself are cyclical. Since the Fibonacci sequence wishes to inform us about the power of spirals, let’s wrap this sequence around a circle. In doing this, we can connect our starting number ZERO to the numbers in the sequence divisible by 3 with those being 3, 3, 9, 6 and 6. Notice these numbers are separated by three numbers between them, showing us the power of the Trinity within the Fibonacci sequence. Connecting these numbers, we can actually form what is known as the Seal of Solomon or Star of David. We can also construct what is known in sacred geometry as Metatron’s Cube. Metatron is mentioned in the Pseudepigrapha and most prominently in the Hebrew Merkabah Book of Enoch. The book describes the link between Enoch, son of Jared (great grandfather of Noah) and his transformation into the angel Metatron. His grand title was “the lesser YHWH”.

Metatron’s Cube is a two-dimensional geometric figure created from 13 equal circles. 6 circles are placed in a hexagonal pattern around a central circle with 6 more extending out along the same radial lines. It is 12 spheres around 1, reflecting the 12 hours of a clock as well as Jesus and his 12 disciples and the 12 ages of the zodiac around our sun. Metatron’s Cube is considered one of the most holy of the ancient sacred geometrical symbols and one that encodes the 5 Platonic solids. The Platonic solids are the 5 polygons that can be constructed within a sphere and are named after the Greek philosopher Plato. Metatron’s Cube is directly related to the Holy 108 of Phi as shown below.

I show this entire concept in a brief, un-narrated video: https://www.youtube.com/watch?v=64Xi7LIqxZk

If you would like to study this in depth it is available in both my books. There is much more to find within this very holy geometric construction and I urge the reader to study and explore this in depth.
But this is not the only place we can find our Holy 108!

We can also use the cipher for the English Alphabet to find three key places in which our holy 108 wishes to show its face. Once again, the cipher is shown below.

Since we are dealing with simple mathematics, we can use our cipher on the four basic mathematical principles everyone is well acquainted with, mainly adding subtracting, multiplying and dividing. When we use the cipher on the phrase “ADD, SUBTRACT, MULTIPLY AND DIVIDE” we find it sums to none other than 108.

ADD, SUBTRACT, MULTIPLY AND DIVIDE
144 66275137 16275322 114 455545 = 108!

Quite interesting but is this merely a coincidence?

“In the magical world, there are no coincidences and there are no accidents.” – William Burroughs

One of the most prominent angles, the semi-circle, or ONE HUNDRED EIGHTY DEGREES finds us at that holy number 108 yet again!

ONE HUNDRED EIGHTY DEGREES
215 6614554 557672 4575556 = 108!

It would seem that the number 108 is hiding just beneath the surface of so many important mathematical principles. In the opinion of this author, this is not a coincidence and invariably shows the occult nature of our reality. Occult means hidden and the mystics and spiritually advanced people of the past absolutely understood that lying just below the thin veneer of our everyday reality exists a beautiful matrix of simple number patterns. By “reading between the lines” of number, one is allowed access to the flowing oceanic numeric tides within the mind of God. Even St. John wanted to tell us about this number in his most cryptic verse:

13:18 – Here is wisdom. Let him that hath understanding count the number of the beast: for it is the number of a man; and his number is Six hundred threescore and six.

Six hundred three score and six translates to the number 666. Using the English cipher, we can find what else was intended, or occulted behind the beastly number 666.
SIX HUNDRED THREE SCORE SIX
653 6614554 76555 63255 653 = 108!

Thanks for your time and stay tuned for another article within the next month. Please visit www.martyleeds33.com or www.schooloftheholyscience.org for more info on gematria, numerology, sacred number, sacred geometry, astrology and all things related to Pi! Thank you!

Copyright 2013 Marty Leeds
Presented with Permission of the Author

About the Author

Greetings. My name is Marty Leeds and I am the author of three books, Pi – The Great Work and Pi  & The English Alphabet Volume 1 & 2,  dealing with numerology,  astrology, sacred geometry and gematria.
I have an ongoing web series discussing many subjects that  you can find at www.martyleeds33.com as well as on youtube/martyleeds33. My intention and goal is  to try to teach the basics of these subjects in a fun, easily digestible way so that anyone with an open  mind and a yearning to understand the fundamentals of our universal construction may grasp them.  Please visit my website and check out the books I have available for further study on these subjects.  All the material on the web is presented for free and I intend to post many more videos as time goes on.  If you like what I am presenting, please pass it along to your friends and loved ones so they may enjoy  it as well and please support my efforts so I may bring more of my understanding of this material to  you. My books are available via my website or amazon.com. I am also a teacher at the website  www.schooloftheholyscience.org along with Johan Oldenkamp, Santos Bonacci, Bill Donahue and a  growing list of others. Our aim at the school is to bring the wisdom and knowledge of our ancestors to  the current age in an attempt to unearth and revive a true understanding of our cosmos as well as to  reaffirm our place in it. I hope these articles can help, in some small way, revive the wisdom of the old  and help it flourish in the hearts and minds of seekers in our current era.

Books by the Author

Also available here:

• Pi – The Great Work : https://www.createspace.com/3717383
• Pi & The English Alphabet : https://www.createspace.com/3955015

Sacred Geometry Introductory Tutorial by Bruce Rawles

In nature, we find patterns, designs and structures from the most minuscule particles, to expressions of life discernible by human eyes, to the greater cosmos. These inevitably follow geometrical archetypes, which reveal to us the nature of each form and its vibrational resonances. They are also symbolic of the underlying metaphysical principle of the inseparable relationship of the part to the whole. It is this principle of oneness underlying all geometry that permeates the architecture of all form in its myriad diversity. This principle of interconnectedness, inseparability and union provides us with a continuous reminder of our relationship to the whole, a blueprint for the mind to the sacred foundation of all things created.

The Sphere

(charcoal sketch of a sphere by Nancy Bolton-Rawles)

Starting with what may be the simplest and most perfect of forms, the sphere is an ultimate expression of unity, completeness, and integrity. There is no point of view given greater or lesser importance, and all points on the surface are equally accessible and regarded by the center from which all originate. Atoms, cells, seeds, planets, and globular star systems all echo the spherical paradigm of total inclusion, acceptance, simultaneous potential and fruition, the macrocosm and microcosm.

The Circle

The circle is a two-dimensional shadow of the sphere which is regarded throughout cultural history as an icon of the ineffable oneness; the indivisible fulfillment of the Universe. All other symbols and geometries reflect various aspects of the profound and consummate perfection of the circle, sphere and other higher dimensional forms of these we might imagine.

The ratio of the circumference of a circle to its diameter, Pi, is the original transcendental and irrational number. (Pi equals about 3.14159265358979323846264338327950288419716939937511…) It cannot be expressed in terms of the ratio of two whole numbers, or in the language of sacred symbolism, the essence of the circle exists in a dimension that transcends the linear rationality that it contains. Our holistic perspectives, feelings and intuitions encompass the finite elements of the ideas that are within them, yet have a greater wisdom than can be expressed by those ideas alone.

The Point

At the center of a circle or a sphere is always an infinitesimal point. The point needs no dimension, yet embraces all dimension. Transcendence of the illusions of time and space result in the point of here and now, our most primal light of consciousness. The proverbial “light at the end of the tunnel” is being validated by the ever-increasing literature on so-called “near-death experiences”. If our essence is truly spiritual omnipresence, then perhaps the “point” of our being “here” is to recognize the oneness we share, validating all “individuals” as equally precious and sacred aspects of that one.

Life itself as we know it is inextricably interwoven with geometric forms, from the angles of atomic bonds in the molecules of the amino acids, to the helical spirals of DNA, to the spherical prototype of the cell, to the first few cells of an organism which assume vesical, tetrahedral, and star (double) tetrahedral forms prior to the diversification of tissues for different physiological functions. Our human bodies on this planet all developed with a common geometric progression from one to two to four to eight primal cells and beyond.

Almost everywhere we look, the mineral intelligence embodied within crystalline structures follows a geometry unfaltering in its exactitude. The lattice patterns of crystals all express the principles of mathematical perfection and repetition of a fundamental essence, each with a characteristic spectrum of resonances defined by the angles, lengths and relational orientations of its atomic components.

The Square Root of Two

The square root of 2 embodies a profound principle of the whole being more than the sum of its parts. (The square root of two equals about 1.414213562…) The orthogonal dimensions (axes at right angles) form the conjugal union of the horizontal and vertical which give birth to the greater offspring of the hypotenuse. The new generation possesses the capacity for synthesis, growth, integration and reconciliation of polarities by spanning both perspectives equally. The root of two originating from the square leads to a greater unity, a higher expression of its essential truth, faithful to its lineage.

The fact that the root is irrational expresses the concept that our higher dimensional faculties can’t always necessarily be expressed in lower order dimensional terms – e.g. “And the light shineth in darkness; and the darkness comprehended it not.” (from the Gospel of St. John, Chapter 1, verse 5). By the same token, we have the capacity to surpass the genetically programmed limitations of our ancestors, if we can shift into a new frame of reference (i.e. neutral with respect to prior axes, yet formed from that matrix-seed conjugation. Our dictionary refers to the word matrix both as a womb and an array (or grid lattice). Our language has some wonderful built-in metaphors if we look for them!

The Golden Ratio

The golden ratio (a.k.a. phi ratio a.k.a. sacred cut a.k.a. golden mean a.k.a. divine proportion) is another fundamental measure that seems to crop up almost everywhere, including crops. (The golden ratio is about 1.618033988749894848204586834365638117720309180…) The golden ratio is the unique ratio such that the ratio of the whole to the larger portion is the same as the ratio of the larger portion to the smaller portion. As such, it symbolically links each new generation to its ancestors, preserving the continuity of relationship as the means for retracing its lineage.

The golden ratio (phi) has some unique properties and makes some interesting appearances:

•  
  • phi = phi^2 – 1; therefore 1 + phi = phi^2; phi + phi^2 = phi^3; phi^2 + phi^3= phi^4; ad infinitum.
  • phi = (1 + square root(5)) / 2 from quadratic formula, 1 + phi = phi^2.
  • phi = 1 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + 1/…)))))
  • phi = 1 + square root(1 + square root(1 + square root(1 + square root(1 + square root(1 + …)))))
  • phi = (sec 72)/2 =(csc 18)/2 = 1/(2 cos 72) = 1/(2 sin 18) = 2 sin 54 = 2 cos 36 = 2/(csc 54) = 2/ (sec 36) for all you trigonometry enthusiasts.
  • phi = the ratio of segments in a 5-pointed star (pentagram) considered sacred to Plato and Pythagoras in their mystery schools. Note that each larger (or smaller) section is related by the phi ratio, so that a power series of the golden ratio raised to successively higher (or lower) powers is automatically generated: phi, phi^2, phi^3, phi^4, phi^5, etc.

• phi = apothem to bisected base ratio in the Great Pyramid of Giza
• phi = ratio of adjacent terms of the famous Fibonacci Series evaluated at infinity; the Fibonacci Series is a rather ubiquitous set of numbers that begins with one and one and each term thereafter is the sum of the prior two terms, thus: 1,1,2,3,5,8,13,21,34,55,89,144… (interesting that the 12th term is 12 “raised to a higher power”, which appears prominently in a vast collection of metaphysical literature)

The mathematician credited with the discovery of this series is Leonardo Pisano Fibonacci and there is a publication devoted to disseminating information about its unique mathematical properties, The Fibonacci Quarterly

Fibonacci ratios appear in the ratio of the number of spiral arms in daisies, in the chronology of rabbit populations, in the sequence of leaf patterns as they twist around a branch, and a myriad of places in nature where self-generating patterns are in effect. The sequence is the rational progression towards the irrational number embodied in the quintessential golden ratio.

This most aesthetically pleasing proportion, phi, has been utilized by numerous artists since (and probably before!) the construction of the Great Pyramid. As scholars and artists of eras gone by discovered (such as Leonardo da Vinci, Plato, and Pythagoras), the intentional use of these natural proportions in art of various forms expands our sense of beauty, balance and harmony to optimal effect. Leonardo da Vinci used the Golden Ratio in his painting of The Last Supper in both the overall composition (three vertical Golden Rectangles, and a decagon (which contains the golden ratio) for alignment of the central figure of Jesus.

The outline of the Parthenon at the Acropolis near Athens, Greece is enclosed by a Golden Rectangle by design.

The Square Root of 3 and the Vesica Piscis

The Vesica Piscis is formed by the intersection of two circles or spheres whose centers exactly touch. This symbolic intersection represents the “common ground”, “shared vision” or “mutual understanding” between equal individuals. The shape of the human eye itself is a Vesica Piscis. The spiritual significance of “seeing eye to eye” to the “mirror of the soul” was highly regarded by numerous Renaissance artists who used this form extensively in art and architecture. The ratio of the axes of the form is the square root of 3, which alludes to the deepest nature of the triune which cannot be adequately expressed by rational language alone.

Spirals

This spiral generated by a recursive nest of Golden Triangles (triangles with relative side lengths of 1, phi and phi) is the classic shape of the Chambered Nautilus shell. The creature building this shell uses the same proportions for each expanded chamber that is added; growth follows a law which is everywhere the same. The outer triangle is the same as one of the five “arms” of the pentagonal graphic above.

Toroids

Rotating a circle about a line tangent to it creates a torus, which is similar to a donut shape where the center exactly touches all the “rotated circles.” The surface of the torus can be covered with 7 distinct areas, all of which touch each other; an example of the classic “map problem” where one tries to find a map where the least number of unique colors are needed. In this 3-dimensional case, 7 colors are needed, meaning that the torus has a high degree of “communication” across its surface. The image shown is a “birds-eye” view.

Dimensionality

The progression from point (0-dimensional) to line (1-dimensional) to plane (2-dimensional) to space (3-dimensional) and beyond leads us to the question – if mapping from higher order dimensions to lower ones loses vital information (as we can readily observe with optical illusions resulting from third to second dimensional mapping), does our “fixation” with a 3-dimensional space introduce crucial distortions in our view of reality that a higher-dimensional perspective would not lead us to?

Fractals and Recursive Geometries

There is a wealth of good literature on this subject; it’s always fascinating how nature propagates the same essence regardless of the magnitude of its expression…our spirit is spaceless yet can manifest aspects of its individuality at any scale.

Perfect Right Triangles

The 3/4/5, 5/12/13 and 7/24/25 triangles are examples of right triangles whose sides are whole numbers. The graphic above contains several of each of these triangles. The 3/4/5 triangle is contained within the so-called “King’s Chamber” of the Great Pyramid, along with the 2/3/root5 and 5/root5/2root5 triangles, utilizing the various diagonals and sides.

The Platonic Solids

Here are LOTS of math details and images of the Platonic Solids and Archimedean Solids.

The 5 Platonic solids (Tetrahedron, Cube or (Hexahedron), Octahedron, Dodecahedron and Icosahedron) are ideal, primal models of crystal patterns that occur throughout the world of minerals in countless variations. These are the only five regular polyhedra, that is, the only five solids made from the same equilateral, equiangular polygons. To the Greeks, these solids symbolized fire, earth, air, spirit (or ether) and water respectively. The cube and octahedron are duals, meaning that one can be created by connecting the midpoints of the faces of the other. The icosahedron and dodecahedron are also duals of each other, and three mutually perpendicular, mutually bisecting golden rectangles can be drawn connecting their vertices and midpoints, respectively. The tetrahedron is a dual to itself.

From April, 2000 through (at least) December, 2003, we conducted a poll on which Platonic Solid folks liked best; here’s the results from that period. If there’s interest, I’ll start another poll to see if the preferences has shifted!

SE DA EL MISMO PATRON DEL LIBRO DE MARCOS 9, LUCAS 9 Y MATEO 16 Y 18 EN EL MARCO A CESAREA DE FILIPO, AL PIE DEL MONTE HERMON (MERIDIANO 33 DE PARIS Y PARALELO 33), EN EL CONTEXTO A LA TRANSFIGURACION DEL NEXO CON JUAN MARCOS (UN NIÑO), EN EL MISMO CONTEXTO EN HECHOS 12- SON TRES (CRISTO, ELIAS Y MOISES) Y TAMBIEN TRES (PEDRO, JUAN Y SANTIAGO) - TREINTA Y TRES - NEXO HECHOS 12:12 (33)

Mateo 16

Mateo 17

1. Seis días después, Jesús tomó a

, y los llevó aparte a un monte alto; (ESTA RELACIONADO CON JUAN MARCOS, EN EL CONTEXTO A HECHOS 12. LA TRANSFIGURACION TIENE FUERTE RELACION CON ORION.)

2. y se transfiguró delante de ellos, y resplandeció su rostro como el sol, y sus vestidos se hicieron blancos como la luz.

3. Y he aquí les aparecieron Moisés y Elías, hablando con él. (TREINTA Y TRES-PEDRO, SANTIAGO Y JUAN Y CRISTO, MOISES Y ELIAS, OSEA UNA REFERENCIA EXPLICITA AL NUMERO 33)

4. Entonces Pedro dijo a Jesús: Señor, bueno es para nosotros que estemos aquí; si quieres, hagamos aquí tres enramadas: una para ti, otra para Moisés, y otra para Elías.

5. Mientras él aún hablaba, una nube de luz los cubrió; y he aquí una voz desde la nube, que decía: Este es mi Hijo amado, en quien tengo complacencia; a él oíd.

6. Al oír esto los discípulos, se postraron sobre sus rostros, y tuvieron gran temor.

3. Deuteronomio 4:48: Desde Aroer, que está junto a la ribera del arroyo de Arnón, hasta el monte de Sion, que es Hermón;   ORION/EL HIJO DEL HOMBRE MARY MAGDALENE (ESTRELLA DE OCHO PUNTAS)-OCTAVO DIA (BODAS DE CANA-SAB. CREAC.) NUMERO 8-ISHTAR POINTED

Mateo 18

1. En aquel tiempo los discípulos vinieron a Jesús, diciendo: ¿Quién es el mayor en el reino de los cielos?

2. Y llamando Jesús a un niño, lo puso en medio de ellos,

3. y dijo: De cierto os digo, que si no os volvéis y os hacéis como niños, no entraréis en el reino de los cielos.

4. Así que, cualquiera que se humille como este niño, ése es el mayor en el reino de los cielos.

5. Y cualquiera que reciba en mi nombre a un niño como este, a mí me recibe. (NOTEN QUE CRISTO ESTA AFIRMANDO QUE QUIEN RECIBE A ESE NIÑO LO RECIBE A EL MISMO. ES OBVIO EL NEXO CON EL SANTO GRIAL DE ESTA AFIRMACION. EL NIÑO ES CRISTO MISMO)

6. Y cualquiera que haga tropezar a alguno de estos pequeños que creen en mí, mejor le fuera que se le colgase al cuello una piedra de molino de asno, y que se le hundiese en lo profundo del mar.

7. ¡Ay del mundo por los tropiezos! porque es necesario que vengan tropiezos, pero ¡ay de aquel hombre por quien viene el tropiezo!

8. Por tanto, si tu mano o tu pie te es ocasión de caer, córtalo y échalo de ti; mejor te es entrar en la vida cojo o manco, que teniendo dos manos o dos pies ser echado en el fuego eterno.

9. Y si tu ojo te es ocasión de caer, sácalo y échalo de ti; mejor te es entrar con un solo ojo en la vida, que teniendo dos ojos ser echado en el infierno de fuego.

10. Mirad que no menospreciéis a uno de estos pequeños; porque os digo que sus ángeles en los cielos ven siempre el rostro de mi Padre que está en los cielos.

Hechos 12

1. En aquel mismo tiempo el rey Herodes echó mano a algunos de la iglesia para maltratarles.

2. Y mató a espada a Jacobo, hermano de Juan. (AQUI TENEMOS EL NEXO 911, EN EL MARCO A JUAN MARCOS, EN ESTE CAPITULO, EL EN MISMO VERSICULO 12. SON LOS HIJOS DE MARIA DE SALOME, OSEA EL CAMINO DE SANTIAGO. ESTO NOS CONFIRMA EL NEXO 911 CON JUAN MARCOS. AQUI ESTA LA CLAVE 911 EN EL CONTEXTO AL CALENDARIO COPTO. ES OBVIO, EL NEXO CON LA TRANSFIGURACION DE CRISTO, EN EL CONTEXTO A SANTIAGO O JACOBO, JUAN Y PEDRO (FUERON LOS MISMOS QUE ESTUVIERON EN LA TRANSFIGURACION DEL SEÑOR).)

3. Y viendo que esto había agradado a los judíos, procedió a prender también a Pedro. Eran entonces los días de los panes sin levadura. (UN NEXO CON MATEO 16:11 Y 12, EN EL MISMO CONTEXTO A CESAREA DE FILIPO) 

 

12. Y habiendo considerado esto, llegó a casa de María la madre de Juan, el que tenía por sobrenombre Marcos, donde muchos estaban reunidos orando. (ORACION ES UNA CLAVE ORION. LA VIUDA TIENE UN FUERTE NEXO CON DICHA CONSTELACION. HECHOS 12:12 (TREINTA Y TRES))

13. Cuando llamó Pedro a la puerta del patio, salió a escuchar una muchacha llamada Rode,

14. la cual, cuando reconoció la voz de Pedro, de gozo no abrió la puerta, sino que corriendo adentro, dio la nueva de que Pedro estaba a la puerta.

15. Y ellos le dijeron: Estás loca. Pero ella aseguraba que así era. Entonces ellos decían: ¡Es su ángel!

16. Mas Pedro persistía en llamar; y cuando abrieron y le vieron, se quedaron atónitos.

17. Pero él, haciéndoles con la mano señal de que callasen, les contó cómo el Señor le había sacado de la cárcel. Y dijo: Haced saber esto a Jacobo y a los hermanos. Y salió, y se fue a otro lugar.

18. Luego que fue de día, hubo no poco alboroto entre los soldados sobre qué había sido de Pedro.

19. Mas Herodes, habiéndole buscado sin hallarle, después de interrogar a los guardas, ordenó llevarlos a la muerte. Después descendió de Judea a Cesarea y se quedó allí. (AQUI ESTA LA CLAVE DEL CAPITULO 12 DE HECHOS, EN EL CONTEXTO A LA SEÑAL DE JONAS. ES UN NEXO CON LA TRANFIGURACION DE CRISTO EN EL MONTE HERMON, ADONDE CESAREA DE FILIPO ESTA AL PIE DEL MISMO. NADA ES CASUALIDAD AMIGO Y AMIGA. TODO ESTA CODIFICADO. JUAN MARCOS ES EL SANTO GRIAL. GLORIA A DIOS TODOPODEROSO QUE NO DISCRIMINO A LA MUJER Y TAMPOCO A LOS NIÑOS.)

20. Y Herodes estaba enojado contra los de Tiro y de Sidón; pero ellos vinieron de acuerdo ante él, y sobornado Blasto, que era camarero mayor del rey, pedían paz, porque su territorio era abastecido por el del rey.

21. Y un día señalado, Herodes, vestido de ropas reales, se sentó en el tribunal y les arengó.

22. Y el pueblo aclamaba gritando: ¡Voz de Dios, y no de hombre!

23. Al momento un ángel del Señor le hirió, por cuanto no dio la gloria a Dios; y expiró comido de gusanos.

24. Pero la palabra del Señor crecía y se multiplicaba.

25. Y Bernabé y Saulo, cumplido su servicio, volvieron de Jerusalén, llevando también consigo a Juan, el que tenía por sobrenombre Marcos.

Lucas 9

18. Aconteció que mientras Jesús oraba aparte, estaban con él los discípulos; y les preguntó, diciendo: ¿Quién dice la gente que soy yo?

19. Ellos respondieron: Unos, Juan el Bautista; otros, Elías; y otros, que algún profeta de los antiguos ha resucitado.

20. El les dijo: ¿Y vosotros, quién decís que soy? Entonces respondiendo Pedro, dijo: El Cristo de Dios. (EL NEXO CON EL VATICANO, OSEA ORION, PLEYADES Y SIRIO)

21. Pero él les mandó que a nadie dijesen esto, encargándoselo rigurosamente,

22. y diciendo: Es necesario que el Hijo del Hombre padezca muchas cosas, y sea desechado por los ancianos, por los principales sacerdotes y por los escribas, y que sea muerto, y resucite al tercer día.

28. Aconteció como ocho días después de estas palabras, que tomó a Pedro, a Juan y a Jacobo, y subió al monte a orar. (ORAR / ORACION / ORION)

29. Y entre tanto que oraba, la apariencia de su rostro se hizo otra, y su vestido blanco y resplandeciente.

30. Y he aquí dos varones que hablaban con él, los cuales eran Moisés y Elías; (VOLVEMOS CON EL TREINTA Y TRES, COMPLEMENTADO A QUE CESAREA DE FILIPO ESTA EN EL PARALELO 33 Y MERIDIANO 33 DE PARIS. CRISTO, ELIAS Y MOISES (TRES) Y PEDRO, JUAN Y SANTIAGO (TRES). ES OBVIO EL NEXO CON EL TREINTA Y TRES)

31. quienes aparecieron rodeados de gloria, y hablaban de su partida, que iba Jesús a cumplir en Jerusalén.

32. Y Pedro y los que estaban con él estaban rendidos de sueño; mas permaneciendo despiertos, vieron la gloria de Jesús, y a los dos varones que estaban con él.

33. Y sucedió que apartándose ellos de él, Pedro dijo a Jesús: Maestro, bueno es para nosotros que estemos aquí; y hagamos tres enramadas, una para ti, una para Moisés, y una para Elías; no sabiendo lo que decía.

 

46. Entonces entraron en discusión sobre quién de ellos sería el mayor.

47. Y Jesús, percibiendo los pensamientos de sus corazones, tomó a un niño y lo puso junto a sí, (SE REPITE EL MISMO PATRON DEL LIBRO DE MARCOS Y EL DE MATEO, OSEA QUE EN EL CONTEXTO A CESAREA DE FILIPO, EN EL PARALELO 33, Y EN EL CONTEXTO A LA TRANSFIGURACION DEL SEÑOR, EL NEXO CON EL LIBRO DE HECHOS 12:2, EN EL CONTEXTO A SANTIAGO O JACOBO, JUAN Y PEDRO. ES OBVIO EL NEXO DE ESE NIÑO CON EL SANTO GRIAL. ESE ES EL MENSAJE DE CRISTO. EL GRIAL ES CRISTO MISMO)

48. y les dijo: Cualquiera que reciba a este niño en mi nombre, a mí me recibe; y cualquiera que me recibe a mí, recibe al que me envió; porque el que es más pequeño entre todos vosotros, ése es el más grande. (EL GRIAL ES CRISTO MISMO)

 

Marcos 9

1. También les dijo: De cierto os digo que hay algunos de los que están aquí, que no gustarán la muerte hasta que hayan visto el reino de Dios venido con poder.

2. Seis días después, Jesús tomó a Pedro, a Jacobo y a Juan, y los llevó aparte solos a un monte alto; y se transfiguró delante de ellos. (ES NOTABLE QUE EN EN EL CONTEXTO A HECHOS 12:12, JUAN MARCOS, APARECEN LOS TRES, OSEA PEDRO, JACOBO Y JUAN. ES OBVIO EL NEXO CON LA TRANSFIGURACION DE CRISTO. LA TRANSFIGURACION DE CRISTO EN LA IGLESIA CATOLICA, ES EL 6 DE AGOSTO, EL DIA NUMERO 330 DEL CALENDARIO COPTO.)

 

Transfiguración de Jesús - Wikipedia, la enciclopedia libre

es.wikipedia.org/wiki/Transfiguración_de_Jesús

‎

 

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La transfiguración de Jesús, es un evento narrado en los evangelios ... La Iglesia
Católica recuerda este hecho el 6 de agosto y el II° Domingo de Cuaresma. «.

La Transfiguración del Señor - ACI Prensa

https://www.aciprensa.com/fiestas/transfiguracion.htm

‎

 

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La fiesta de la Transfiguración del Señor se venía celebrando desde muy
antiguo en ... y enemigo del cristianismo, y cuya noticia llegó a Roma el 6 de
agosto.

6 de Agosto: La Transfiguración del Señor - Día. Contemplar el ...

evangeli.net/evangelio/dia/V_28

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Y se transfiguró delante de ellos: su rostro se puso brillante como el sol y sus
vestidos se volvieron blancos como la luz. En esto, se les aparecieron Moisés y ...

3. Y sus vestidos se volvieron resplandecientes, muy blancos, como la nieve, tanto que ningún lavador en la tierra los puede hacer tan blancos.

4. Y les apareció Elías con Moisés, que hablaban con Jesús. (SE REPITE EL PATRON ANTERIOR, PEDRO, SANTIAGO Y JUAN Y CRISTO, MOISES Y ELIAS, OSEA VOLVEMOS CON EL TREINTA Y TRES)

5. Entonces Pedro dijo a Jesús: Maestro, bueno es para nosotros que estemos aquí; y hagamos tres enramadas, una para ti, otra para Moisés, y otra para Elías.

6. Porque no sabía lo que hablaba, pues estaban espantados.

7. Entonces vino una nube que les hizo sombra, y desde la nube una voz que decía: Este es mi Hijo amado; a él oíd. (VEMOS LA INTERRELACION CON EL DISCIPULO AMADO, EN EL MISMO CONTEXTO A JUAN EL EVANGELISTA, OSEA EL HERMANO DE SANTIAGO O JACOBO E INCLUSO A JUAN MARCOS, EN EL MISMO CONTEXTO A HECHOS 12:1,2)

8. Y luego, cuando miraron, no vieron más a nadie consigo, sino a Jesús solo.

9. Y descendiendo ellos del monte, les mandó que a nadie dijesen lo que habían visto, sino cuando el Hijo del Hombre hubiese resucitado de los muertos.

34. Mas ellos callaron; porque en el camino habían disputado entre sí, quién había de ser el mayor.

35. Entonces él se sentó y llamó a los doce, y les dijo: Si alguno quiere ser el primero, será el ultimo de todos, y el servidor de todos. 36. Y tomó a un niño, y lo puso en medio de ellos; y tomándole en sus brazos, les dijo:

37. El que reciba en mi nombre a un niño como este, me recibe a mí; y el que a mí me recibe, no me recibe a mí sino al que me envió. (JESUCRISTO ES EL "AGUJERO DE GUSANO", ENTRE EL NIÑO Y EL PADRE TODOPODEROSO. OBVIAMENTE QUE CRISTO SE ESTA EXPRESANDO EN FUERTE CONTEXTO ALQUIMICO. LA MADRE, ES EL "AGUJERO DE GUSANO" DEL "AGUJERO DE GUSANO". NOTEN QUE CLARAMENTE EL SEÑOR ESTA EXPRESANDO QUE EL NIÑO ES IGUAL QUE EL MISMO. NOTEN QUE JESUCRISTO ES LA INTERSECCION ENTRE EL NIÑO Y EL PADRE O EN OTRAS PALABRAS ES EL "ARBOL" QUE PRODUCE EL PADRE. CRISTO ESTA TOMANDO EN FORMA ESOTERICA EL PAPEL DE LA MADRE, QUE ES LA QUE CONCIBE AL NIÑO. INSISTO, LA  MADRE ES EL "AGUJERO DE GUSANO" DEL "AGUJERO DE GUSANO".)

GENERACION-TRANSMISION-DISTRIBUCION DE ENERGIA ELECTRICA ("AGUJERO DE GUSANO")

38. Juan le respondió diciendo: Maestro, hemos visto a uno que en tu nombre echaba fuera demonios, pero él no nos sigue; y se lo prohibimos, porque no nos seguía.

39. Pero Jesús dijo: No se lo prohibáis; porque ninguno hay que haga milagro en mi nombre, que luego pueda decir mal de mí.

40. Porque el que no es contra nosotros, por nosotros es. (ESTE VERSICULO DESTRUYE EL SECTARISMO RELIGIOSO. OSEA DE AQUELLOS FARISEOS QUE LES GUSTA INVENTAR DEMONIOS PARA EL EGO O QUE USAN LA RELIGION PARA ADORARSE A ELLOS MISMOS. EL ARQUETIPO DEL CRISTIANO CARNAL, DESGRACIADAMENTE.)

41. Y cualquiera que os diere un vaso de agua en mi nombre, porque sois de Cristo, de cierto os digo que no perderá su recompensa.

42. Cualquiera que haga tropezar a uno de estos pequeñitos que creen en mí, mejor le fuera si se le atase una piedra de molino al cuello, y se le arrojase en el mar. (IMPRESIONANTE MENSAJE ESOTERICO. NOTEN EL NEXO PEQUEÑO / PABLO  CON PIEDRA / EINSTEIN. CRISTO ESTA HACIENDO REFERENCIA EN UN CONTEXTO CIENTIFICO AL "EXPERIMENTO FILADELFIA" O EL "AGUJERO DE GUSANO".)

43. Si tu mano te fuere ocasión de caer, córtala; mejor te es entrar en la vida manco, que teniendo dos manos ir al infierno, al fuego que no puede ser apagado,

44. donde el gusano de ellos no muere, y el fuego nunca se apaga. (NUESTRO MISMO SEÑOR NOS EXPRESA EL NEXO ALQUIMICO Y CIENTIFICO. ¿QUIEN ES EL IDIOTA, EGOLATRA, IDOLATRA O IGNORANTE QUE DICE QUE LA BIBLIA NO ES UN LIBRO CIENTIFICO?)

45. Y si tu pie te fuere ocasión de caer, córtalo; mejor te es entrar a la vida cojo, que teniendo dos pies ser echado en el infierno, al fuego que no puede ser apagado,

46. donde el gusano de ellos no muere, y el fuego nunca se apaga.