What follows is a summarized intro to sacred geometry and esoteric mathematics, particularly that of the Fibonacci/Golden Ratio/Flower of Life.
What Is Sacred Geometry?
The standard definition of Sacred geometry is the geometry used in the planning and construction of religious structures such as churches, temples, mosques, religious monuments, altars, tabernacles; as well as for sacred spaces such as temenoi, sacred groves, village greens and holy wells, and the creation of religious art. In sacred geometry, symbolic and sacred meanings are ascribed to certain geometric shapes and certain geometric proportions. (Wiki)
Pythagoras is often credited for discovering that an oscillating string stopped halfway along its length produces an octave relative to the string’s fundamental, while a ratio of 2:3 produces a perfect fifth and 3:4 produces a perfect fourth. However the Chinese culture already featured the same mathematical positions on the Guqin and the tone holes in flutes, so Pythagoras was not the first. Pythagoreans believed that these harmonic ratios gave music powers of healing which could “harmonize” an out-of-balance body (Wiki)
Although it is more than just architecture designed to shapes with religious meaning and values. These shapes are used because these religious traditions understand, or perhaps understood at one time the deeper esoteric principles those shapes, patterns, and ratios represent.
When i talk about sacred geometry I mean it defined in this way: The perennial sacred art-science dedicated to the study and applications of Harmonic power and the symbolic Shapes, Patterns & Numbers that constitute the language of nature & consciousness as a universal code of creation.
Sacred Geometry is an ancient-future cosmic wisdom we are fast reclaiming. Under the new labels of Design Science, Fractal Harmonics, DNA Resonance and Scale-Invariance Physics, we are walking again the higher turn of humanity’s spiritual spiral.
Sacred Geometry is currently re-discovered as a knowledge KEY for shifting to a new paradigm of universal wholeness and loving inter-connectedness with the Web of Life. Traditional wisdom holds the universe to exist because of a profound harmonic order. From the quantum vacuum to atoms to DNA to galaxies, certain precisely reoccuring ratios and geometric symmetries are the foundation of the whole cosmos.
The contemporary faces of Sacred Geometry are called: Design Science, Fractality, Invariance-scale Physics, Phi Recursiveness, Hyper-Harmonics, Self-Similarity and Quantum Geometry…
The study, understanding & applications of Sacred Geometry in nature and in consciousness offers a needed and substantial gift: to open our human awareness to perceive again a living, interconnected, intelligent and benevolent universe. Sacred Geometry is the collective re-appearance of our deep innate wisdom: seeing and becoming the all-encompassing Unity of Life…
… so that the heavens can be understood as spiritual realms preceding and continuing life on earth; harmonic chords can be played by celestial bodies choreographing graceful time-space dances; the “Big Bang” can be heard as the Primordial Song of the Universe and each star can be smiling to each flower… while the human family is holding hands with all of creation… – (School of Sacred Geometry)
What is the Fibonacci Sequence?
The Fibonacci Sequence is the series of numbers:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …
The next number is found by adding up the two numbers before it.
The 2 is found by adding the two numbers before it (1+1)
Similarly, the 3 is found by adding the two numbers before it (1+2),
And the 5 is (2+3),
and so on!
Example: the next number in the sequence above would be 21+34 = 55
It is that simple!
Here is a longer list:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, …
When you make squares with those widths, you get a spiral:
Do you see how the squares fit neatly together?
For example 5 and 8 make 13, 8 and 13 make 21, and so on.
The Fibonacci Sequence can be written as a “Rule” (see Sequences and Series).
First, the terms are numbered from 0 onwards like this:
n = 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 …
xn = 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 …
So term number 6 is called x6 (which equals 8).
Example: the 8th term is
the 7th term plus the 6th term:
x8 = x7 + x6
So we can write the rule:
The Rule is xn = xn-1 + xn-2
xn is term number “n”
xn-1 is the previous term (n-1)
xn-2 is the term before that (n-2)
Example: term 9 would be calculated like this:
x9 = x9-1 + x9-2 = x8 + x7 = 21 + 13 = 34
And here is a surprise. If you take any two successive (one after the other) Fibonacci Numbers, their ratio is very close to the Golden Ratio “φ” which is approximately 1.618034…
In fact, the bigger the pair of Fibonacci Numbers, the closer the approximation.
About Fibonacci The Man
His real name was Leonardo Pisano Bogollo, and he lived between 1170 and 1250 in Italy.
“Fibonacci” was his nickname, which roughly means “Son of Bonacci”.
As well as being famous for the Fibonacci Sequence, he helped spread through Europe the use of Hindu-Arabic Numerals (like our present number system 0,1,2,3,4,5,6,7,8,9) to replace Roman Numerals (I, II, III, IV, V, etc). That has saved us all a lot of trouble! Thank you Leonardo.
(Maths is fun.com)
The golden ratio can be seen throughout nature, in pincones, flowers, shells, tree branches, even the proportions of the human face and body.
What is The Torus Field?
In geometry, a torus (pl. tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a ring torus or simply torus if the ring shape is implicit.
When the axis is tangent to the circle, the resulting surface is called a horn torus; when the axis is a chord of the circle, it is called a spindle torus. A degenerate case is when the axis is a diameter of the circle, which simply generates a 2-sphere. The ring torus bounds a solid known as a toroid. The adjective toroidal can be applied to tori, toroids or, more generally, any ring shape as in toroidal inductors and transformers. Real-world examples of (approximately) toroidal objects include doughnuts, vadais, inner tubes, bagels, many lifebuoys, O-rings and vortex rings.
In topology, a ring torus is homeomorphic to the Cartesian product of two circles: S1 × S1, and the latter is taken to be the definition in that context. It is a compact 2-manifold of genus 1. The ring torus is one way to embed this space into Euclidean space, but another way to do this is the Cartesian product of the embedding of S1 in the plane. This produces a geometric object called the Clifford torus, surface in 4-space.
The word torus comes from the Latin word meaning cushion. (Wiki)
This image shows the famous Milk Hill Crop Circle. it shows the dynamics of the spin of the torus from a top-down perspective. You can view my article on this crop circle and watch it be set in motion spinning from it’s center axis, go here: [ http://anuhazi-owl.tumblr.com/post/17368037678/a-high-res-version-of-the-milk-hill-guardian ]
What is The Vector Equilibrium?
The underlying structure of the torus is the Vector Equilibrium, or “VE.” It is the blueprint by which nature forms energy into matter. Buckminster Fuller, one of the 20th Century’s most prolific inventors, coined the term Vector Equilibrium. He named it this because the “VE” is the only geometric form where all forces are equal and balanced. The energy lines (vectors) are of equal length and strength. They represent the energy of attraction and repulsion, like you can feel with a magnet.
You can’t actually observe the “VE” in the material world because it is the geometry of absolute balance. What we experience on Earth is always expanding toward and contracting away from absolute equilibrium. Like a wave arising from the surface of a tranquil sea, a material form is born (unfolds) from the plenum (fullness) of energy (ironically referred to by physicists as “the vacuum!”) and dies (enfolds) back into it. The VE is like the imaginable – yet invisible – mother of all the shapes and symmetries we see in the world.
What is Metatron’s cube?
Metatron’s cube depicts the five platonic solids which may be derived form the flower of life. The five platonic solids are geometrical forms which are said to act as a template from which all life springs, according to spiritual belief. The Platonic solids are five structures that are crucial because they are the building blocks of organic life. These five structures are found in minerals, animated and organic life forms, sound, music, language, etc. Metatron’s cube is also considered a holy glyph, used to ward off evil spirits. The Kabbalah’s Tree of life is also thought to be derived from the flower of life.
The geometry of the fabric of the vacuum of space expands outward from any point of reference in octaves of perfectly balanced tetrahedrons. Each octave of perfect balance is a geometry Buckminster Fuller called the Vector equilibrium, otherwise known as a cube octahedron.
The cube octahedron is made of 8 tetrahedrons pointing inward to a single point and the star tetrahedron is made of 8 tetrahedrons pointing outward, so you have both the expansive side of the vacuum (electromagnetism) and the contractive side (gravity) represented in the geometry of the space itself.
The doubling in size of the vector equilibriums in space happen in the same way octaves from in the doubling of frequencies in the electromagnetic spectrum.
All things are connected to all other things by the one thing that is everywhere no matter where you go: SPACE!
64 is the fewest number of tetrahedrons you need to form 2 octaves of perfectly balanced geometry… what Buckminster Fuller called the Vector equilibrium. This is the seed geometry of the holofractalgraphic vacuum structure according to Nassim Haramein…
• 64 codons in human DNA
• 64 hexagrams in the I-Ching
• 64 cells is how many we have before our cells star to bifurcate shortly after birth
• 64 things are needed to be able to approach the Ark of the Covenant according to the copper scrolls among the Dead Sea Scrolls
• 64 is fundamental in computer memory and coding
• even The Beatles knew: “When I’m 64”
Here we see this expressed in 3D, and lo and behold the shadow of this shape makes a perfect Flower of Life.
This all could, of course, be a coincidence…
What is the Vesica Picses?
What is the Flower of Life?
The Flower of Life is a name for a geometrical figure composed of multiple evenly-spaced, overlapping circles. This figure, used as a decorative motif since ancient times, forms a flower-like pattern with the symmetrical structure of a hexagon.
A “Flower of Life” figure consists of seven or more overlapping circles, in which the center of each circle is on the circumference of up to six surrounding circles of the same diameter. However, the surrounding circles need not be clearly or completely drawn; in fact, some ancient symbols that are claimed as examples of the Flower of Life contain only a single circle or hexagon.
It has been helped into common knowledge by the new age authors such as Drunvalo Melchizedek.
Figures as prominent as Leonardo da Vinci ascribed significance to the Flower of Life and three similar symbols, called the “Egg of Life,” the “Fruit of Life,” the “Seed of Life. These figures have historically been considered symbols of sacred geometry, with some authors asserting that they represent ancient spiritual beliefs, and that they depict fundamental aspects of space and time Melchizedek claims that Metatron’s Cube may be derived from the Flower of Life pattern, and that the Platonic solids within it were “thought to act as a template from which all life springs.”
The Flower of Life and the Seed of Life are linked by New Age authors with the Biblical prophet Enoch, the Archangel Metatron, the six days of Creation, the Vesica Piscis religious symbol, and Borromean rings. (wiki)
Kabbalah / Judaism
The symbol of the Tree of Life, which may be derived from the design of the Flower of Life, is studied as part of the teachings of non-Jewish Hermetic Qabalah.
In New Age thought, the Flower of Life has provided what is considered to be deep spiritual meaning and forms of enlightenment to those who have studied it as sacred geometry.There are various groups all over the world who derive particular beliefs and forms of meditation based (at least in part) on the Flower of Life (Wiki)
The “Flower of Life” can be found in all major religions of the world. It contains the patterns of creation as they emerged from the “Great Void”. Everything is made from the Creator’s thought.
After the creation of the Seed of Life the same vortex’s motion was continued, creating the next structure known as the Egg of Life. This structure forms the basis for music, as the distances between the spheres is identical to the distances between the tones and the half tones in music. It is also identical to the cellular structure of the third embryonic division (The first cell divides into two cells, then to four cells then to eight). Thus this same structure as it is further developed, creates the human body and all of the energy systems including the ones used to create the Merkaba.
If we continue creating more and more spheres we will end up with the structure called the Flower of Life.
The Flower of Life (left) and the Seed of Life (right).
The flower of life holds a secret symbol created by drawing 13 circles out of the Flower of Life. By doing this, one can discover the most important and sacred pattern in the universe. This is the source of all that exists; it’s called the Fruit of Life. It contains 13 informational systems. Each one explains another aspect of reality. Thus these systems are able to give us access to everything ranging from the human body to the galaxies. In the first system, for example, it’s possible to create any molecular structure and any living cellular structure that exists in the universe. In short every living creature.
The most common form of the “Flower of Life” is hexagonal pattern (where the center of each circle is on the circumference of six surrounding circles of the same diameter), made up of 19 complete circles and 36 partial circular arcs, enclosed by a large circle.
The “Seed of Life” is formed from seven circles being placed with sixfold symmetry, forming a pattern of circles and lenses, which acts as a basic component of the Flower of Life’s design.
It’s been known to humanity for tens of thousands of years, and we can find traces of this knowledge passed down through all the religions and cultures of the world.
Flower of Life – Turkey
Flower of Life – Amistar, India
Temple in Spain –
The Osirian Temple at Abydos in Egypt, we find the same. They are at least over 6,000 years old and may date back to as long ago as 10,500 B.C. or earlier.and can be found on a 100 ton granite boulder. The interesting thing about it is that forensics discovered the images not to be carved into the rock like most conventional petroglyphs, but instead seems to be ‘burned’ into the rock under extreme heat and pressure, with almost a laser-like precision we would find difficult to replicate even today. It’s probably going to stick around for quite some time.
In china a popular motif is the Dragon or Lion which guards the so-called sacred knowledge under it’s paw. Found commonly in Beijing.
Leonardo da Vinci has studied the Flower of Life’s form and its mathematical properties. He has drawn the Flower of Life itself, as well as components therein, such as the Seed of Life.
He has drawn geometric figures representing shapes such as the platonic solids, a sphere, a torus, etc., and has also used the golden ratio of phi in his artwork; all of which may be derived from the Flower of Life design.
[The following snippet of info is to be taken with caution, and I do not advise the practical use suggested here, for reasons i’ll explain later] The complete flower has the other two layers added, making it three dimensional (pic3). If you relax (sit three feet away from the screen) and let the flower slowly draw your eyes out of focus, the flower will open. Try and not focus on any one point, blankly stare, take the flower in as a whole. You may get a headache and itchy eyes, this will quickly disappear.
We do not see with our eyes, we see through our eyes. Let your mind focus, don’t fight it.
What appears is a reptilian entity apparently.
This creature is said to be very frightening and fierce looking, and I can not assure you it can do you no harm. I know this sounds mad, but it is true and very real. After you get used to interacting with the reptilian, you can move on to the next entity. To interact with the second being you must rotate the flower by 30 degrees and repeat the steps.
The second being is the Chinese dragon ( the fu dog). This creature is even more frightening than the first, so be prepared. Again, this creature cannot harm you in anyway. Somehow these entities are in suspended animation. They are real but they do not and cannot move. I know within freemasonry, they call the first entity “the khaibit man”. You need to have been initiated into the 10th degree to be aware of the khaibit man. As part of the initiation into the 10th degree, the khaibit man is conjured up in front of you.
You may know that the complete flower contains the kabbalah`s tree of life, the fruit, the egg and the seed of life (pic. 4 & 5).
4. The Kabbalah Tree of Life derived from the Flower of Life.
5. The Kabbalah Tree of Life derived from the Flower of Life.
The complete flower also contains the three dimensional metatron cube (pic6), which holds all the Platonic solids (pic7). Not just the building blocks of life, but the building blocks of creation itself.
6. Metatron Cube
7. Platonic Solids
8. St Magnus cathedral in Kirkwall
9. Knights Templar tombstone from St Magnus cathedral in Kirkwall
10. The egg of life (left)
I was born and bred and now live back in Kirkwall. At no time did I ever get taught at school, that there was any knights templars who came from or to Orkney.
For whatever reason, the computer generated flower (pic. 12) does not work for the contemplation. It does contain all Freemasonry’s sacred symbols.
I thought I’d add this picture as you will recognize the pattern (pic13).
13. Pattern of snake’s skin
The complete flower of life does have another use. If you overlay a map (after getting the correct scale) with the complete flower of life, all sacred sites, standing stones etc, will sit at the centre of six points. This picture gives you idea how the grid looks (pic.14).
14. If you overlay a map (after getting the correct scale) with the complete flower of life, all sacred sites, standing stones etc, will sit at the centre of six points.
Here is more of it found in Crop Circles. (Mostly in England, Wiltshire)
Fibonacci, Phi, Flower of Life, Golden Mean/Ratio, Vector Equilibrium, Metatronic Spiral, Torus Field, even the yin yang all contain these distorted proportions and interconnect.
See here how the tree of life creates the VE.
I have to contend that although this ratio can be found to the extents of our galaxy that is does not actually represent the natural progression of life, but instead the inorganic digression into physical death. The milky way itself may be victim to this artificial pattern and have ‘fallen’ from the M31 Andromeda galaxy. In this case the majority of life and matter and subtle forces may adhere to and match this specific ratio and pattern, but it might not be the same in other galaxies.
Incidentally, if all you can see as far as the horizons of the galaxy is this same pattern, of course you would assume it was natural. Our whole Universe may even be eventually conforming into this finite fibonacci fractal, and that is something I do not wish to happen, if what I know about the Flower of Life is indeed true. In which case, the Flower of Life should be more appropriately dubbed, the Daisy of Death. Now I have shown you the conventional thought behind this geometry now I will dive a little deeper into it and show you what the popular teachers are not telling you.
Is there any artificially induced and distorted life pattern propogating throughout our world, and expanding through our reality? A reverse-creation mathematical encryption derrived and warped from an original divine blueprint and primal cosmic order? I’ll present the information, you can make up your own mind. I used to be heavily into qabalah myself, but I always sensed something was wrong with the tree of life. Look at it’s shape and dimensions, does it feel right and perfect, or does it feel like maybe something is… missing?