Sacred Geometry in Architecture


 
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usarender
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PostPosted: Mon Dec 17, 2007 4:40 pm    Post subject: Sacred Geometry in Architecture Reply with quoteFind all posts by usarender

Architecture of the Invisible

Paintings Investigate the 6-pointed star form

Sacred Geometry in Architecture

Quote:
The study of sacred geometry, so ably and beautifully presented by Robert Lawlor in his workbook, "Sacred Geometry", and chronicled by Drunvolo Melchisedek in "The Flower of Life" is an ancient practice, dating back thousands of years. The study of sacred geometry accesses information held by wisdom traditions, mystery schools, and indigenous sacred circles throughout human time.


Sacred Geometry

Quote:
Are our buildings shaped by sacred numbers and hidden codes?
Architecture begins with geometry. Since earliest times, architects have relied on mathematical principles. The ancient Roman architect Marcus Vitruvius believed that builders should always use precise ratios when constructing temples. “For without symmetry and proportion no temple can have a regular plan,” Vitruvius wrote in his famous treatise De Architectura.

The proportion Vitruvius recommended was modeled after the human body. He observed that all human beings are shaped according to a ratio that is astonishingly precise and uniform. For example, Vitruvius found that the human face equals one tenth of the total body height. The foot equals one sixth of the total body height. And so on.

Scientists and philosophers later discovered that the same ratio Vitruvius saw in the human body – 1 to PHI (1.618) – exists in every part of nature, from swimming fish to swirling planets. This divine ratio, or divine proportion, has been called the building block of all life.

Sacred geometry, or spiritual geometry, is the belief that numbers and patterns such as the divine ratio have sacred significance. Many mystical and spiritual practices, including astrology, numerology, tarot, and feng shui, begin with a fundamental belief in sacred geometry. Architects and designers may draw upon concepts of sacred geometry when they choose particular geometric forms to create pleasing, soul-satisfying spaces.

Absurd? Before you dismiss sacred geometry, take a few moments to reflect on the ways some numbers and patterns appear again and again in every part of your life.

Sacred Geometry In Your Body

When studied under the microscope, living cells reveal a highly ordered system of shapes and patterns. From the shape of your DNA to the cornea of your eye, every part of your body follows the same predictable patterns.

Sacred Geometry In Your Garden

The jigsaw puzzle of life is made up of recurring shapes and numbers. Leaves, flowers, seeds, and other living things share the same spiral shapes. Honeybees and other insects live structured lives that mimic these patterns. When we create a floral arrangement or walk through a labyrinth, we celebrate nature’s innate forms.

Sacred Geometry In Stones

Nature’s archetypes are reflected in the crystalline forms of gems and stones. Amazingly, the patterns found in your diamond engagement ring may resemble the formation of snowflakes and the shape of your own cells.

Sacred Geometry In the Sea

Similar shapes and numbers are found beneath the sea, from the swirl of a nautilus shell to the movement of the tides.

Sacred Geometry In the Heavens

Nature’s patterns are echoed in the movement of planets and stars and the cycles of the moon. Perhaps this is why astrology lies at the heart of so many spiritual beliefs.

Sacred Geometry In Music

The vibrations we call sound follow sacred, archetypal patterns. For this reason, you may find that certain sound sequences can stimulate the intellect, inspire creativity, and evoke a deep sense of joy.

Sacred Geometry And The Cosmic Grid

Stonehenge, metalithic tombs, and other ancient sites stretch across the globe along underground electromagnetic tracks, or ley lines. The energy grid formed by these lines suggest sacred shapes and ratios.

Sacred Geometry And Theology

In his best-selling novel The Da Vinci Code, author Dan Brown used concepts of sacred geometry to weave a spell-binding tale about conspiracy and early Christianity. Regardless of your faith, you are likely to find that sacred numbers and symbols play an important role. Concepts of sacred geometry are expressed in the beliefs of Christians, Jews, Hindus, Muslims, and other formal religions.

Sacred Geometry In Your Home

From the pyramids in Egypt to the new World Trade Center tower in New York, great architecture uses the same essential building blocks as your body and all living things. Moreover, the principles of sacred geometry are not confined to great temples and monuments. Sacred geometry shapes all buildings, no matter how humble. Believers say that when we recognize these principles and build upon them, we create dwellings that comfort and inspire.

Are some numbers sacred?

Why do certain shapes, numbers, and ratios show up again and again? Are our buildings shaped by sacred numbers and hidden codes? Can great architecture be expressed in a mathematical formula?


Sacred Geometry
Quote:

Alone, all Sacred shapes have meaning, but when in union with other Sacred shapes, that meaning becomes two-fold, or three-fold, etc. Herein lie the very basics of each symbol alone, perhaps then allowing one to see more within seemingly mundane paintings, photographs, statues, buildings, and any of the other results of creative influence over our world. See also Pythagorian Numerology.


Quote:
Pythagorian Numerology

Pythagoras taught that each number had its own peculiar character, virtues, and properties:

The unit, or the monad is the principle and the end of all; it is the sublime knot which binds together the chain of causes; it is the symbol of identity, of equality, of existence, of conservation, and of general harmony. Having no parts, the monad represents Divinity; it announces also order, peace, and tranquility, which are founded on unity of sentiments. Consequently, ONE is a good principle.

The number two, or the dyad, the origin of contrasts, is the symbol of diversity, or inequality, of division and of separation. Two is accordingly an evil principle, a number of bad augury, characterizing disorder, confusion, and change.

Three, or the triad, is the first of unequals; it is the number containing the most sublime mysteries, for everything is composed of three substances; it represents God, the soul of the world, the spirit of Man. This number, which plays so great a part in the traditions of Asia, and in the Platonic philosophy, is the image of the attributes of God.

Four, or the tetrad, as the first mathematical power, is also one of the chief elements; it represents the generating virtue, whence come all combinations; it is the most perfect of numbers; it is the root of all things. It is hly by nature, since it constitutes the Divine essence by recalling His unity, His power, His goodness, and His wisdom, the four perfections which especially characterize God. Consequently, Pythagoricians swear by the quaternary number, which gives the human soul its eternal nature.

The number five, or the pentad, has a peculiar force in sacred expiations; it is everything; it stops the power of positions and is redoubted by evil spirits.

The number six, or the hexad, is a fortunate number and it derives its merit from the first sculptors having divided the face into six portions. But, according to the Chaldeans, the reason is because God created the world in six days.

Seven, or the heptad, is a number very powerful for good or for evil. It belongs especially to sacred things.

The number eight, or the octad, is the first cube, that is to say, squared in all senses, as a die, proceeding from its base two, an even number; so is Man four-square, or perfect.

The number nine, or the ennead, being the multiple of three, should be regarded as sacred.

Finally, ten, or the decad, is the measure of all, since it contains all the numeric relations and harmonies. As the reunion of the four first numbers, it plays an eminent part, since all the branches of science -- all nomenclatures -- emanate from, and retire into, it.
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usarender
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PostPosted: Mon Dec 17, 2007 5:46 pm    Post subject: The Geometry Code Reply with quoteFind all posts by usarender

The Geometry Code

Quote:
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.


Analized:

1. The Sphere.
2. The Circle.
3. The Point
4. The Square Root of Two
5. The Golden Ratio
6. The Square Root of 3 and the Vesica Piscis
7. Spirals
8. Toroids
9. Dimensionality
10. Fractals and Recursive Geometries
11. Perfect Right Triangles.
12. The Platonic Solids
13, The Archimedean Solids
14. Stellations of the Platonic Solids and the Archimedean Solids
15. Metatron's Cube
16. The Flower of Life
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usarender
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PostPosted: Mon Dec 17, 2007 6:33 pm    Post subject: Crop Circles and Euclidean Geometry Reply with quoteFind all posts by usarender

The Crop Circular

Crop Circles and their relationship to Euclidean Geometry and diatonic ratios.

Quote:
Several years ago, astronomer Gerald S. Hawkins, former Chairman of the astronomy department at Boston University, noticed that some of the most visually striking of the crop-circle patterns embodied geometric theorems that express specific numerical relationships among the areas of various circles, triangles, and other shapes making up the patterns (Science News: 2/1/92, p. 76).

In one case, for example, an equilateral triangle fitted snugly between an outer and an inner circle. It turns out that the area of the outer circle is precisely four times that of the inner circle.Three other patterns also displayed exact numerical relationships, all of them involving a diatonic ratio, the simple whole-number ratios that determine a scale of musical notes. "These designs demonstrate the remarkable mathematical ability of their creators," Hawkins comments.Hawkins found that he could use the principles of Euclidean geometry to prove four theorems derived from the relationships among the areas depicted in crop circles. He also discovered a fifth, more general theorem, from which he could derive the other four (see diagram, left). "This theorem involves concentric circles which touch the sides of a triangle, and as the [triangle] changes shape, it generates the special crop-circle geometries," he says.Hawkins' fifth crop-circle theorem involves a triangle and various concentric circles touching the triangle's sides and corners. Different triangles give different sets of circles. An equilateral triangle produces one of the observed crop-circle patterns; three isoceles triangles generate the other crop-circle geometries. What is most surprising is that all geometries give diatonic (musical) ratios. Never before have geometric theorems been linked with music. Curiously, Hawkins could find no reference to such a theorem in the works of Euclid or in any other book that he consulted. When he challenged readers of Science News and The Mathematics Teacher to come up with his unpublished theorem, given only the four variations, no one reported success. In July 1995, however, "the crop-circle makers . . . showed knowledge of this fifth theorem," Hawkins reports. Among the dozens of circles surreptitiously laid down in the wheat fields of England, one pattern fit Hawkins' theorem based on the stringent definitions, on the rules established by the circles over the period 1980 to the present. The Circlemakers responsible for this old-fashioned type of mathematical ingenuity remain at large and unknown. Their handiwork flaunts a facility with Euclidean geometry and signals an astonishing ability to bend living plants without cracking stalks, and to trace out complex, precise patterns, most under cover of darkness, with a few notable exceptions during daytime.

Part I

The tip of the moon in the crop formation.

DIATONIC RATIO

Part II

The note C in the 5th octave.

Part III

The D Note in the 7th octave

Part IV

Letter "C" and note "C" by crop circle code.
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usarender
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PostPosted: Mon Dec 17, 2007 6:44 pm    Post subject: Sacred Geometry & Architecture Part I Reply with quoteFind all posts by usarender

Sacred Geometry

Quote:

Sacred geometry is geometry that is sacred to the observer or discoverer. This meaning is sometimes described as being the language of the God of the religion of the people who discovered or used it. Sacred geometry can be described as attributing a religious or cultural value to the graphical representation of the mathematical relationships and the design of the man-made objects that symbolize or represent these mathematical relationships. The golden ratio was often used in the design of Greek and Roman architecture. A contemporary usage of the term describes a supposed re-discovered mathematical order to the intrinsic nature of the Universe that is represented in crop circles and in ancient architecture such as the Great Pyramid and Stonehenge.


The Golden Ratio

Quote:
The golden ratio, also known as the god ratio, golden proportion, golden mean, golden section, golden number, divine proportion or sectio divina, is an irrational number, approximately 1.618 033 988 749 894 848, that possesses many interesting properties. Shapes proportioned according to the golden ratio have long been considered aesthetically pleasing in Western cultures, and the golden ratio is still used frequently in art and design, suggesting a natural balance between symmetry and asymmetry. The ancient Pythagoreans, who defined numbers as expressions of ratios (and not as units as is common today), believed that reality is numerical and that the golden ratio expressed an underlying truth about existence.


and further --->>

Quote:
The universe, our reality, is created by thought consciousness which manifests in physical reality through a geometric blueprint that we call Sacred Geometry. It repeats in cycles giving the illusion of linear time so we can experience emotions. The term "sacred geometry" is used by archaeologists, anthropologists, and geometricians to encompass the religious, philosophical, and spiritual beliefs that have sprung up around geometry in various cultures during the course of human history. It is a catch-all term covering Pythagorean geometry and neo-Platonic geometry, as well as the perceived relationships between organic and logarithmic curves.

Reality is a consciousness insert, created by sound, light, and color frequencies that repeat in patterns, or time. Sound wave patterns will soon be proven to be universal, through harmonics brought forth from our planetary grids and those in space. Harmonic sound waves emanating from regions in space are based on this universal design. Harmonics create a cymatic effect on Saturn -- A Mysterious Hexagonal Cloud System on Saturn. The tones will prove to be the same as those that create all of reality.


Galaxies and Sacred Geometry

The Milky Way Galaxy is the inspiration for the symbol of the Ouroboros.

Quote:
Ouroboros is an ancient alchemy symbol depicting a snake or dragon [DNA] swallowing its own tail, constantly creating itself and forming a circle. It is the Wheel of Time - The Alchemy Wheel - 12 Around 1 to manifest grid programs that give the illusion of linear time allowing souls to experience emotions.

Ouroboros is associated with Alchemy -- Gnosticism and Hermeticism. It represents the cyclical nature of things, eternal return, and other things perceived as cycles that begin anew as soon as they end.

In some representations the serpent is shown as half light and half dark, echoing symbols such as the Yin Yang, which illustrates the dual nature of all things, but more importantly, that these opposites are not in conflict.
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usarender
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PostPosted: Mon Dec 17, 2007 6:50 pm    Post subject: The Library of Halexandria Reply with quoteFind all posts by usarender

Library of Halexandria
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ahmeds



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Posts: 128
Location: UAE

PostPosted: Thu Dec 20, 2007 9:09 am    Post subject: Reply with quoteFind all posts by ahmeds

Really that's true. Some people are designing or need their designs as per specific geometrical symbols,digital or numerical numbers etc, that's according to their beliefs.
Once I came across an engineer who was designing his villa to be built in India.He came for comments and after giving what I could, he told me that was not final design as still one expert in India will give his verdict of the design if it will suit the users, and last long etc.
They have their ways of doing that, I don't know how. But the expert will analyse the plan as per their traditions and beliefs obviously checking geometrical influence in the layout. So after reading this posting on scared geometrical , I remembered the engineer and his plan.
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