Sacred Geometry
By Tiffiney Whitmire
“All things throughout our universe seem to follow the same fundamental blueprint or geometric patterns. These 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 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.”
We call this blueprint “Sacred Geometry”.
Sacred Geometry is a term that is used by:
- archaeologists
- anthropologists
- geometricians
It includes the:
- religious
- philosophical
- spiritual
beliefs that have surrounded geometry in many various cultures throughout history.
It covers Pythagorean geometry as well as the relationships between organic curves and logarithmic curves.
The “sacred” aspect of geometry has evolved as a result of different cultures.
I have provided five different views of how different cultures have made geometry become sacred.
Later, I will explain the meaning of certain numbers, as they play an important role in sacred geometry.
A few examples of sacred sites will also be provided.
These examples will provide you with a real sense of how sacred geometry is used in sacred sites.
1. The Ancient Greeks
The ancient Greeks used certain geometrically derived ratios.
In this culture the cube traditionally symbolized kingship and earthy foundations.
The Golden Section traditionally symbolized philosophy and wisdom.
Therefore, if a building was dedicated to a king it would bear traces of cubic geometry and a building dedicated to a heavenly god would be constructed using Golden Section proportions.
The term “Golden Proportion” is historically the unique geometric proportion of two terms, and it is designated by the 21st letter of the Greek alphabet – phi.
Phi was known by cultures much older than the Greek.
The three-term proportion is a:b :: b:c.
That is, a is related to b as b is related to c.
However, within the three-term continuous proportion there is a special sub-set where the third term is equal to the first term plus the second term, a:b :: b:(a+b), so that only two terms, a and b, are found in the three-term proportion.
This is called Phi, the Golden Proportion.
“The fact that it is a three-term proportion constructed from two terms is its first distinguishing characteristic and is parallel with the first mystery of the Holy Trinity: The Three that are Two.” (Lawlor 45)
“The Golden Proportion represents indisputable proportional evidence of the possibility of a conscious evolution as well as of an evolution of consciousness.” (Lawlor 47)
The Golden Proportion is not an ordinary ratio.
It is found naturally in nature.
Its specific ratio is 1.618.
For example, it describes the spiral of seeds in sunflowers and the shape of nautilus shells.
2. The Hindus
Before the Hindus erect any type of building, large or small, for religious purposes they first perform a simple geometric construction on the ground.
This means that they construct a square from establishing due East and West.
It is from this square that they lay out the entire building.
The geometric construction is associated by prayers and religious observances.
3. The Christians
The cross is used as the major emblem for the Christian religion.
Exposing Christianity – Library of Rickandria
In geometrical terms the cross, elaborated in the Medieval period, is the form of an unfolded cube.
The Cube Exposed – Library of Rickandria
It was also associated with kingship.
Many of the Gothic churches were built by proportions derived from the geometry inherent in the cube or the double-cube.
Many Christian churches are still built in this form today.
4. The Ancient Egyptians
The ancient Egyptians used regular polygons in their construction but discovered that these polygons could be increased while keeping the ratio of their sides by the addition of a strictly constructed area.
This was named the “gnomon” by the Greeks.
The god Osiris was given the recognition for the concept of the ratio-retaining expansion of a rectangular area.
Egyptians also used the square as a symbol of kingship.
5. The Discovery of Jay Hambidge
Jay Hambidge was an art historian at Yale during the 1920’s.
He discovered that the spirals on the Ionic column capitals of ancient Greek temples were laid out by the “whirling rectangle” method for creation of a logarithmic spiral.
He did not find any “sacred meaning” for the logarithmic spiral form of the Ionic column capital.
However, he did find that the Greek architects purposely constructed their temples according to “whirling rectangle” geometric ratios.
Synergetic Geometry
Introduction
Geometry is present everywhere in all of nature. the basis of the structure of all things from molecules to galaxies, from the tiniest viruses to the big ones Elephants.
Despite our current separation from the natural world, we human beings are still bound by the natural laws of the earth. universe.
The term geometry literally means “measured” or measurement of the earth.”
It’s a fundamental tool that’s closely tied to everything that which is made by the hands of man and from time to all that the measurements mean, which in those times they were considered to belong to one of the branches of Magic.
In ancient times, magic, science and religion were in fact inseparable, constituting the foundation of the knowledge of the priests.
The harmony inherent in geometry was understood as one of the expressions of the divine plan that underpins the universe, a pattern metaphysics that determines the physical.
The Internal, Transcendent Reality to external forms, has remained throughout history as the base of sacred structures.
Nowadays it is so valid to build a Modern building according to the principles of sacred geometry as it was in the past in styles such as:
- Egyptian
- Greek
- Romanesque
- Islamic
- Gothic
or Renaissance.
Proportion and harmony are intimately linked to the sacred geometry, because it in turn is metaphysically linked to the intimate structure of matter.
The Principles of Sacred Geometry
The principles that underpin disciplines such as geometry Sacred, magic or even electronics are linked to nature of the universe.
Variations in the external shape may be influenced by religious or even political considerations, but the Operational fundamentals remain constant.
An example of this is, we find it in an electrical analogy.
To be able to illuminate with an electric lamp needs to meet a number of conditions.
It is necessary to circulate an electric current through this lamp of a certain intensity, for which a voltage must be applied by means of the proper circuit and connections.
These conditions are non-negotiable, if something is done incorrectly the lamp must not be illuminated or it will burn.
Anyone who performs such tasks must adhere to these fundamental principles or you will fail in your attempt.
Such principles are independent of all considerations political or sectarian, the circuit must function either under a dictatorial regime or as a democratic one.
Similarly, the founding principles of arcane geometry they transcend sectarian religious considerations.
Like a science that leads to humanity’s reintegration with the cosmic whole, it must act, as in the case of electricity, on all that which meet the fundamental criteria, no matter who it is.
The universal application of identical principles of arcane geometry in places separated by vast spans of:
- time
- place
- belief
is transcendental in nature.
It was applied to:
- the pyramids and temples of Ancient Egypt
- Mayan temples
- the tabernacles of the Lord
- the Babylonian ziggurats
- Islamic Mosques
and Christian Cathedrals.
Like an invisible thread, the immutable principles connect these sacred structures.
One of the principles of sacred geometry is found in the Hermetic maxim “as above, so below” and also in “that which is in the little world, the microcosm, reflects what is in the great world or macrocosm.”
This principle of correspondence is at the basis of all arcane sciences, where the forms of the manifested universe are they are reflected in the body and constitution of man.
In the biblical conception, man is created in the image and likeness of God, being a temple set up by the Creator to house the Lord.
The spirit that elevates man above the animal kingdom.
For this reason, sacred geometry is not only about figures geometric obtained in the classical manner with compass and square, but also of the harmonious relations of the human body, of the structure of animals and plants, of the forms of animals, crystals and all manifestations of forms in the universe.
Since ancient times, geometry has been inseparable from the magic.
Even the archaic inscriptions on the rocks are still geometric shapes.
Because the complexities and abstracts truths expressed by geometrical shapes can only be explained as reflections of the deepest truths, they were considered to be sacred mysteries of the highest order and were placed out of the profane eyes.
This profound knowledge could have been transmitted from one initiate to another by means of geometrical symbols without those ignorant of it even taking note that it was carried out such communication.
Each geometric shape is invested with a symbolic and psychological. In this way, everything made by the hand of man that incorporates these symbols becomes a vehicle for ideas and ideas. concepts incorporated into its geometry.
Through the ages, the Symbolic geometries have been the basis for sacred architecture and still profane.
Some still exist as potent archetypes of faith: the hexagram as a symbol of Judaism, the cross in the Christianity.
Geometric shapes and figures
A few geometric shapes form the basis of the whole diversity of the structure of the universe.
All of these basic geometric shapes can easily be made by means of two tools that geometers have used from the dawn of history: the square and the compass.
As universal figures, their construction does not require any to this extent, they also occur through natural formations in the organic as well as inorganic.
The Circle
The circle was surely one of the first symbols man-drawn.
It’s simple to draw, it’s a visible shape every day in nature, seen in the sky like discs of the sun and moon, in the forms of animals and plants, and in the geological structures.
Many old constructions adopted in this form, American teepees and Mongolian yurts are the survivors of these universal forms.
Since British Neolithic circles and through the forms Megalithic Circular Stone Temples, Circular Shape has imitated the roundness of the visible horizon, making each I build a little world in itself.
The circle represents completeness and wholeness.
In an ancient alchemical treatise, it reads:
“Make a circle of the man and woman, and draw a square outside of it, and outside of it square a triangle. Make a circle and you will have the stone of the philosophers.”
The circle has been used as a symbol of Eternity and Oneness.
Like eternity because it has no beginning and no end and always returns to the world.
Same point.
Also, for this reason it symbolizes the Universe, there is no point where it begins, no point where it ends, then all that contains and there is nothing outside of it, which is why it is also a symbol of Unity, especially when the center is present in it as a symbol of the first manifestation.
It also symbolizes Fate, Fate or Necessity and cyclic law because as the wheel of life turns the cycles return marking in nature the repetition and renewal of cycles and in human history the eternal return of archetypes.
The Vesica Pisces
The Vesica pisces is the figure produced when two Circles of equal size are drawn to the center of the other.
It has depicted the womb of the Mother Goddess, the point of emergence of life.
It has held a position of primacy in the Foundation of sacred constructions.
From the ancient temples and stone circles to the great medieval cathedrals, the act initial foundation has been related to the sunrise in a default day.
This symbolic birth of the temple with the Nuevo Sol is a universal theme, related to the Vesica Pisces.
The geometry of Hindu temples as well such as those in:
- Asia Minor
- North Africa
- Europe
as it has been they derive directly from the shadow of a gnomon.
There is an ancient Sanskrit text referring to the founding of temples, the Manasara Shilna Shastra, detailing the plan to your orientation.
The site has to be chosen by a practitioner of geomancy, nailing a gnomon there, around which a circle.
This procedure fixes the east-west axis.
From each at the end of this axis, arcs are drawn, producing a vesica Pisces, which in turn determines the north-south axis.
From this initial vessel, another is drawn at right angles, and from this a center circle and then a square addressed to the four quarters of the earth.
The system used by the Romans for the foundation of their cities described in the books of Vitruvius is shown identical with the Hindu system here described.
The Square
Many ancient temples were built in a square shape.
Representing the microcosm and with it the stability of the world, this is a salient feature of the so-called mountains of the ziggurats, the pyramids and the stupas.
These structures symbolize the transition point between the heaven and earth, ideally centered on the omphalos, the axial point at the center of the world, your navel.
It can be divided into four squares by making a cross that it automatically defines its center.
Oriented towards the four points cardinal, in the case of the Egyptian pyramids with exceptional precision, it can also be bisected by diagonals, dividing it into eight triangles.
These eight lines, radiating from the center, form the axes toward the four directions of space, and the four corners of the world, the eightfold division of space.
The division of space is emblematic in the eightfold path of Buddhism and on the four royal roads of Brittany, noted in the History of the Kings of Brittany.
Each of the eight addresses in Tibet are under the symbolic guard of a family, a tradition similar to that of the eight noble families of Brittany.
The Golden Number
The golden number, or golden section, is a relationship that has been used in sacred architecture and art as early as the period of the ancient Egypt.
The Sacred Constructions and Objects of the Egyptians and Greeks have geometries based on the division of space obtained by root rectangles and their derivatives.
The root rectangles are produced directly from a square by simple drawing with compass, thus entering the category of classical geometry, produced without measurements.
There are a number of root rectangles that are interconnected.
The first of these is a square, the second is the root of 2, the third is the root of 3, the fourth is the double square, and the fifth is root of 5.
While the sides of such rectangles are not measurable in numerical terms, the Greeks said that they were not really irrational because they were measurable in terms of squares produced from them.
The possibility of measurement in terms of area Instead of length, it has been one of the great secrets of the Greeks.
This brings us to another fundamental factor in architectural design Sacred: proportion and commensurability.
The music shows this admirably in its harmonies, and indeed in its It has been said that it is geometry turned into sound.
The commensurability ensures complete harmony through a construction or work of art, is an integration of all the proportions of the parts in such a way that each of them has a fixed shape and size.
Nothing can be added or removed without alter the harmony of the whole.
Certain rectangles that are point of Related geometric figures form the basis of for such harmonizing structures.
Rectangles with side-to-side ratios of 3:2, 5:4, 8:5, 13:6, etc. in which the relations are expressed in numbers of integers have been called static rectangles, while Rectangles such as root rectangles are called rectangles Dynamic.
There are a few rectangles that combine the properties of the static and the dynamic: the square and the double square.
The diagonal of this is surely the most favored form in the sacred constructions and is the root of 5, which is directly related to the proportion of gold.
This important reason, called by the Greeks the Section, the Divine Proportion by Luca Paccioli (1509), and baptized by Leonardo da Vinci and his followers the Golden Section or Golden Number, has Unique properties that have captivated geometers since time Egyptians.
This relation exists between two objects or quantities when the ratio between the largest and the smallest is equal to the sum of both (the totality) and the largest.
It is symbolized by the letter Phi, in honor of Phidias. Numerically it possesses exceptional properties, both algebraic and as geometric, Phi=1.618, 1/Phi=0.618 and Phi squared=2.618.
In any progression or series of terms that has Phi as the ratio between its successive terms, each term is equal to the sum of the two that precede it.
In numerical terms, this series was first known in Europe by Leonardo Fibonacci, born in 1179.
He traveled with his father to Algeria where Arab geometers taught him the secrets of the series, and you can also enter Arabic numerals, revolutionizing European mathematics.
This series has been recognized as the beginning of the structure of living organisms and the structure of the world.
The golden number has been honored throughout history.
Plato in his Timaeus considers it to be the key to physics of the cosmos and even the modern architect Le Corbusier, father of tower buildings, designed a modular system based on this proportion.
MORE:
Flower of Life – Sacred Geometry (bibliotecapleyades.net)
Geographic Geometry – A New Look at An Old Design (bibliotecapleyades.net)
Sacred Geometry
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Stones and The Sacred (bibliotecapleyades.net)
Metatron Cube (bibliotecapleyades.net)
Sacred Geometry, Crosses and Swastikas (bibliotecapleyades.net)
Sacred Geometry in The Quantum Realm (bibliotecapleyades.net)
The Meaning of Numbers – Library of Rickandria
The Platonic Solids
Geographic Geometry – 3 (bibliotecapleyades.net)
The Sequential Perspective – Sacred Geometry Model of Quantum Physics (bibliotecapleyades.net)
13 Sacred Geometry Forms – Library of Rickandria
Why Sacred Geometry? (bibliotecapleyades.net)
Additional Information
Harmonic Pyramids on Earth and Abroad (bibliotecapleyades.net)
On The States of Physical Space (bibliotecapleyades.net)
Why Words are Spells (bibliotecapleyades.net)
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Pyramidal Constructions in the World – Library of Rickandria