Sacred Geometry: What is 'Sacred' Geometry' : The synchronicity of the universe is determined by certain mathematical constants which express themselves in the form of 'patterns' and 'cycles' in nature. The outcome of this process can be seen throughout the natural world as the following examples demonstrate: The Passion-flower Spiral galaxy M74 Giant's causeway, Ireland. Spiral snail shells. These displays of mathematical and geometric constants are confirmation that certain proportions are woven into the very fabric of nature. Recognising the significance of this simple fact offers us the means to understand how and why such matters were considered sacred. They and everything around us, are the product of the delicate balance between chaos and order. The word 'geometry' can be traced through its component parts: The word 'Geo-metry' comes from the Greek words Geos meaning 'Earth' and Metron meaning 'To measure', which together literally translate as the 'Measuring of the earth' or 'Earthly measurements', an art which was traditionally restricted to the priest-hood. Sacred geometry has existed in many forms across the ages It is often mistakenly said that geometry began with the Greeks, but before them were the Minoans, the Egyptians, Sumerians, Indus valley, Chinese, Phoenicians and of course, the builders of the western European megaliths all of whom left clear geometric fingerprints in their greatest constructions. The Greeks may well have been the first to have offered geometry to the public at large, but they were by no means the first to realise it. The cumulative effect of sacred geometry is the connection between the microcosm and the macrocosm.
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Sacred Geometry:
What is 'Sacred' Geometry' :
The synchronicity of the universe is determined by certain mathematical constants which
express themselves in the form of 'patterns' and 'cycles' in nature.
The outcome of this process can be seen throughout the natural world as the following
These displays of mathematical and geometric constants are confirmation that certain
proportions are woven into the very fabric of nature. Recognising the significance of this
simple fact offers us the means to understand how and why such matters were considered
sacred. They and everything around us, are the product of the delicate balance between chaos and order.
The word 'geometry' can be traced through its component parts:
The word 'Geo-metry' comes from the Greek words Geos meaning 'Earth' and Metron meaning 'To measure', which together literally translate as the 'Measuring of the earth' or 'Earthly measurements', an art which was traditionally restricted to the priest-hood.
Sacred geometry has existed in many forms across the ages
It is often mistakenly said that geometry began with the Greeks, but before them were the
Minoans, the Egyptians, Sumerians, Indus valley, Chinese, Phoenicians and of course, the
builders of the western European megaliths all of whom left clear geometric fingerprints in
their greatest constructions. The Greeks may well have been the first to have offered geometry to the public at large, but they were by no means the first to realise it.
The cumulative effect of sacred
geometry is the connection between the microcosm and the macrocosm.
Sacred-Geometry: The First Step.
One of the most common shapes in nature is the circle, it is therefore extremely significant
to understand that all other geometric shapes can be determined from a circle...with the use
of only a compass (or string) and a ruler (straight edge) as the following procedure illustrates...
Starting with the Vesica-pisces...from which one is able to produce...
An Equilateral triangle, Hexagon, Pentagon, Square and so on and so on..
The Vesica Pisces is one of the key starting blocks from which sacred geometry was applied to life.
A continuation of the geometric Vesica Pisces results in the geometric matrix named Ad-
triangulum...as used for the design of many of Europe's greatest Cathedrals...
Featured Articles:
The Harmony of the Spheres.
The first confirmed record of a knowledge of the relationship between astronomy, music and geometry comes (almost predictably) from the Greeks: in particular, Pythagoras who wrote of the 'Harmony of the Spheres', and of whom it was said: '...of all men, he alone [Pythagoras] could hear the music of the spheres...'
Labyrinths:
The symbol for the Labyrinth has been found associated with 'sacred' places for thousands of years from all around the ancient world. More recently, more especially from the middle ages onward, it has been used as a tool for pilgrimage - representing our metaphorical path through life.
The Flower of Life:
The flower of life symbol has found its way into the human consciousness, it is no more than an elaborate extension of the Vesica pisces, but one within people have found themselves lost in a state of perpetual imaginative bloom. It is said to contain values that depict the fundamental geometry of time and space.
Spirals are one of the most a common forms of natural geometry, being a product of the sacred mean. They are associated with omphalos and earth-navels and are regularly found engraved on megaliths. Their original meaning is lost today but spiral designs at such noticeable sites as Newgrange and Chaco Canyon, has led many to believe they were primarily astronomical.
Geodesy and the World Grid:
This section examines the theory that geometry was applied in the placement of certain prominent (sacred) prehistoric sites, based on an understanding of longitude and latitude. The 'linear-mentality' of our ancestors seems to have had no frontiers, but what if any, was the origin and purpose of networking sacred sites, and how
Petrospheres and the Platonic Solids.
Of the hundreds of small carved stone balls fond in Scotland, over 75% have been found to conform to the five Platonic solids. This remarkable discovery suggests an association as yet undetermined. Although it is generally believed that the Greeks discovered this mathematical principle, these come from over a thousand years earlier.
The Myth of Precession.
It has been proposed that the understanding of sacred geometry extended into time and space, as realised through the 'Platonic Year'. Santillana (6) and others have shown that certain precessionary numbers were encoded into ancient sacred buildings, texts and mythologies. these same numbers appear to be reflected in the natural geometry of the universe.
The exterior angle of the 'Great pyramid of Giza' can be reproduced with the Vesica-
pisces. It has been long suspected that the Great pyramid was a subsidiary of geometric
knowledge. There are several other indications that sacred geometry was an important
factor in the design of the pyramid.
The Sacred mean (Phi), was also recorded into the dimensions of the pyramid itself.
Pi and the Pyramid.
Egyptian mathematicians arrived at a figure of 3.16 (as shown on the Rhind Papyrus),
written 600 to 800 years later and far cruder than the precise ratio the great Pyramid
seems to express. The figure of Pi is recorded into the dimensions of the Great Pyramid
several times; As well as the Height/Perimeter ratio of the pyramid itself
(2∏x H = Perimeter)
The perimeter of its main compartment, the so called “King’s Chamber,” is also exactly
3.14 times its length, and the large granite coffer or sarcophagus in this room shows the
same proportion. In the earlier, rhomboidal or “Bent Pyramid” at Dashur, a few miles to
the south, the sides begin to ascend at the same 2-Pi angle as the Great Pyramid, then
change half way up to 3-Pi (43 ½º ) ratio.
Pyramid Geometry and Latitude.
The exterior angle of the Great pyramid is the exact same latitude that Silbury Hill was
built, and at the same time. It is perhaps no coincidence to find that exterior angle of the Silbury monument has an exterior angle of 30°, the same as the latitude of Giza. This
The mathematical harmony of the universe is visible in the proportions of the planets of our own solar system as the following examples illustrate:
The diameter of the sun (864,000 miles) is the same as the perimeter of the square of the moon (4).
Sacred Venus : 'The Synodic Cycle'
The ratio of the 'Sacred mean' can also be seen in the rotations of Venus and the Earth
around the sun so that for each five years that Earth rotates around the Sun, Venus
manages to rotate it eight times).
Venus orbits the Sun in 224.701 Earth days ( ~.615 Earth years ), moving slightly faster than Earth. Because of the two different orbital rates of Venus and Earth, Venus must orbit the sun 2.6 times while Earth orbits 1.6 times before the two planets align. This period (583.92 Earth days) is called the Earth-Venus synodic cycle (synod means "place of meeting"). (3)
The result of this motion is that Venus 'draws' a pentagon around the sun every eight years.
Bode’s law: Shows the simple mathematical relationship for the distances of the planets
from the our sun.
Planet Formula Distance from Sun (Millions of Km’s)
Following the collapse of the Roman empire, architects versed in geometry grouped
together into 'guild's', thus forming the roots of 'freemasonry'. The tradition of building
sacred/holy structures with applied sacred (euclidian), geometry was continued into the
middle ages by the 'Templars', who envisioned their (mostly round) churches as
'microcosms of the world' (1). This idea was soon adopted by the Christian church, who
began to employ 'sacred' dimensions into their religious buildings. These traditions were
carried in the form of 'freemasonry' until, as Pennick aptly quotes - 'The lodges of
freemasons closed down one by one. The last to go was the premiere lodge of Europe -
Strasbourg, which shut shop in 1777. From then on, the arts and mysteries of freemasonry were carried on exclusively by 'Speculative masons' (1).
A continuation of the geometric Vesica Pisces results in the geometric matrix named Ad-triangulum...as used for the design of many of Europe's greatest Cathedrals...
We may never know for sure whether such geometry was identified first from the
observation of natural formations, or whether it came as a result of an intellectual quest,
but whichever, it is clear that these natural mathematical building blocks began to be used
in the design of many important man-made structures.