Sacred geometry is the study and use of certain geometric forms, patterns and ratios which are considered sacred or divine, being symbols of archetypal perfection in an imperfect world, and sometimes being representative of "secret knowledge" which can be elucidated only through studying such geometry. A hidden message is information that is not immediately noticeable and that must be discovered or uncovered and interpreted before it can be known A subliminal message is a signal or message embedded in another medium designed to pass below the normal limits of the human Mind 's perception Backmasking (also known as Backward masking) is a recording technique in which a sound or message is recorded backward onto a track that is meant to be Reverse speech is a Hypothesis first put forward by David John Oates The spectrogram is the result of calculating the Frequency spectrum of Windowed frames of a compound signal. Numerology is any of many Systems Traditions or Beliefs in a mystical or Esoteric relationship between Numbers and physical Theomatics is a numerological study of the Greek and Hebrew text of the Christian Bible, based upon Gematria and Isopsephia A Bible code (also Torah code) is the notion that there are information patterns encrypted or Coded form in the text of the Bible, or more specifically Cryptography (or cryptology; from Greek grc κρυπτός kryptos, "hidden secret" and grc γράφω gráphō, "I write" Fnord is the typographic representation of Disinformation or irrelevant information intending to misdirect with the implication of a conspiracy. The Paranoiac-critical method is a surrealist technique developed by Salvador Dalí in the early 1930s The term pareidolia (pæraɪˈdoʊliə describes a psychological phenomenon involving a vague and random stimulus (often an image or sound being perceived as significant Psychorama (or "The Precon Process" is the act of communicating subliminal information through Film by flashing images on the screen so quickly that they Steganography is the art and science of writing hidden messages in such a way that no one apart from the sender and intended recipient even realizes there is a hidden message An anagram ( Greek anagramma 'letters written anew' passive participle of ana- 'again' + gramma 'letter' is a type of Word play A virtual Easter egg is an intentional Hidden message or feature in an object such as a movie, Book The clustering illusion refers to the tendency to erroneously perceive small samples from random distributions as having significant "streaks" or "clusters" caused The observer-expectancy effect (also called the experimenter-expectancy effect, observer effect, or experimenter effect) is a form of reactivity Pattern recognition involves identification of faces objects words melodies etc A paradox is a true statement or group of statements that leads to a Contradiction or a situation which defies intuition; or inversely A palindrome is a word phrase number or other sequence of units that can be read the same way in either direction (the adjustment of punctuation and spaces between words Many observers throughout history have argued that there are influences on Consciousness from other parts of the Mind. Geometry ( Greek γεωμετρία; geo = earth metria = measure is a part of Mathematics concerned with questions of size shape and relative position In more secular terms, humans may exhibit common psychological responses to certain geometric forms, and sacred geometry studies and exploits these responses (as do the designers of corporate logos and advertising).

Sacred geometry is used in the design of sacred architecture and sacred art, but the same principles, including mathematical ratios, harmonics and proportion, are also found in music, and some extend them further to light and cosmology. Sacred architecture (also known as religious architecture) is concerned with the design and construction of places of worship and/or sacred or intentional space such Sacred art is Imagery intended to uplift the Mind to the spiritual. Mathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and Music is an Art form in which the medium is Sound organized in Time. Light, or visible light, is Electromagnetic radiation of a Wavelength that is visible to the Human eye (about 400–700 Cosmology (from Greek grc κοσμολογία - grc κόσμος kosmos, "universe" and grc -λογία -logia) is study

The value system of sacred geometry is seen as widespread even in prehistory, a cultural universal of the human condition. A value system is a set of Consistent Ethic values (more specifically the Personal and cultural values) and measures used for the purpose of Ethical Stone Age Paleolithic See also Paleolithic, Recent African Origin, Early Homo sapiens, Early human migrations "Paleolithic" A cultural universal (see George Murdock, Claude Levi-Strauss, Donald Brown) is an element pattern trait or institution that is common to all Human The human condition encompasses all of the Experience of being Human. It is considered foundational to building sacred structures such as temples, mosques, megaliths, monuments and churches; sacred spaces such as altars, temenoi and tabernacles; meeting places such as sacred groves, village greens and holy wells and the creation of religious art, iconography and using "divine" proportions. A temple (from the Latin word Templum) is a structure reserved for religious or spiritual activities such as prayer and sacrifice or analogous rites A "mosque" in English refers to all types of buildings dedicated for Islamic worship although there is a distinction in Arabic between the smaller privately owned mosque and the larger A monument is a structure either explicitly created to commemorate a person or important event or which has become important to a social group as a part of their remembrance of past An altar is any structure upon which Sacrifices or other offerings are made for religious purposes or some other sacred place where ceremonies take place Temenos ( from the Greek verb "to cut" plural temene is a piece of land cut off and assigned as an official domain especially to kings The Tabernacle is known in Hebrew as the Mishkan ( משכן "Residence" or "Dwelling Place" A major event leading to the eventual formation of The Church of Jesus Christ of Latter-day Saints, took place in what is commonly referred to within the Church as The A village green is a common open area which is a part of a settlement A Holy Well is a spring or other body of water revered equally in a pagan or Christian context often both as holy wells were Christianized Iconography is the branch of Art history which studies the identification description and the interpretation of the content of images Alternatively, sacred geometry based arts may be ephemeral, such as visualization, sandpainting and medicine wheels. Sandpainting is the art of pouring colored sands onto a surface to make a painting Medicine wheels, or sacred hoops were constructed by laying stones in a particular pattern on the ground

As worldview

Sacred geometry may be understood as a worldview of pattern recognition, a complex system of religious symbols and structures involving space, time and form. A comprehensive world view (or worldview) is a term Calqued from the German word Weltanschauung ( Welt is the German Pattern recognition is a sub-topic of Machine learning. It is "the act of taking in raw data and taking an action based on the category of the data" This article describes complex system as a type of system For other meanings see Complex systems. Space is the extent within which Matter is physically extended and objects and Events have positions relative to one another For other uses see Time (disambiguation Time is a component of a measuring system used to sequence events to compare the durations of According to this view the basic patterns of existence are perceived as sacred. A pattern, from the French patron, is a theme of recurring events or objects sometimes referred to as elements of a set SACRED was a Cubesat built by the Student Satellite Program of the University of Arizona. By connecting with these, a believer contemplates the Mysterium Magnum, and the Great Design. Mysterium Magnum is Latin for "great mystery" and has many different associations and usages A teleological argument, or argument from design, is an Argument for the Existence of God or a creator based on perceived evidence of order purpose design By studying the nature of these patterns, forms and relationships and their connections, insight may be gained into the mysteries – the laws and lore of the Universe. Law is a system of rules enforced through a set of Institutions used as an instrument to underpin civil obedience politics economics and society The Universe is defined as everything that Physically Exists: the entirety of Space and Time, all forms of Matter, Energy

Music

The discovery of the relationship of geometry and mathematics to music within the Classical Period is attributed to Pythagoras, who found that a string stopped halfway along its length produced an octave, while a ratio of 3/2 produced a fifth interval and 4/3 produced a fourth. Classical antiquity (also the classical era or classical period) is a broad term for a long period of cultural History centered on the Mediterranean "Pythagoras of Samos" redirects here For the Samian statuary of the same name see Pythagoras (sculptor. In Music, an octave ( is the the use of which is "common in most musical systems The perfect fifth ( is the Musical interval between a note and the note seven Semitones above it on the musical scale The perfect fourth () is a Musical interval which spans four scale degrees Pythagoreans believed that this gave music powers of healing, as it could "harmonize" the out-of-balance body, and this belief has been revived in modern times[1]. Hans Jenny, a physician who pioneered the study of geometric figures formed by wave interactions and named that study cymatics, is often cited in this context. For the soil scientist see Hans Jenny (pedologist. Hans Jenny (1904-1972 was a Physician and Natural Cymatics is the study of Wave phenomena It is typically associated with the physical patterns produced through the interaction of Sound However, Dr. Jenny did not make healing claims for his work.

Even though Hans Jenny did pioneer cymatics in modern times, the study of geometric relationships to wave interaction (sound) obviously has much older roots (Pythagoras). Hans Jenny may refer to Hans Jenny (pedologist (1899&ndash1992 soil scientist Hans Jenny (cymatics (1904&ndash1972 father of cymatics Cymatics is the study of Wave phenomena It is typically associated with the physical patterns produced through the interaction of Sound "Pythagoras of Samos" redirects here For the Samian statuary of the same name see Pythagoras (sculptor. A work that shows ancient peoples understanding of sacred geometry can be found in Scotland. Scotland ( Gaelic: Alba) is a Country in northwest Europethat occupies the northern third of the island of Great Britain. In the Rosslyn Chapel, Tomas J. Rosslyn Chapel, properly named the Collegiate Church of St Matthew, was founded on a small hill above Roslin Glen as a Roman Catholic collegiate church (with between Mitchell has found what he calls "frozen music". Apparently, there are 213 cubes with different symbols that are believed to have musical significance. After 27 years of study and research, Mitchell has found the correct pitches and tonality that matches each symbol on each cube, revealing harmonic and melodic progressions. He has fully discovered the "frozen music", which he has named the Rosslyn Motet, and is set to have it performed in the chapel on May 18th, 2007, and June 1st, 2007. Rosslyn Chapel, properly named the Collegiate Church of St Matthew, was founded on a small hill above Roslin Glen as a Roman Catholic collegiate church (with between

Kepler's Platonic solid model of the Solar system from Mysterium Cosmographicum (1596)

Cosmology

See also Kepler conjecture, Mysterium Cosmographicum, Pythagoreanism

At least as late as Johannes Kepler (1571-1630), a belief in the geometric underpinnings of the cosmos persisted among scientists. In Geometry, a Platonic solid is a convex Regular polyhedron. The Solar System consists of the Sun and those celestial objects bound to it by Gravity. In Mathematics, the Kepler conjecture is a Conjecture about Sphere packing in three-dimensional Euclidean space. Mysterium Cosmographicum, (lit The Cosmographic Mystery, alternately translated Cosmic Mystery, The Secret of the World or some variation Pythagoreanism is a term used for the Esoteric and metaphysical beliefs held by Pythagoras and his followers the Pythagoreans who were much influenced Johannes Kepler (ˈkɛplɚ ( December 27 1571 &ndash November 15 1630) was a German Mathematician, Astronomer Kepler explored the ratios of the planetary orbits, at first in two dimensions (having spotted that the ratio of the orbits of Jupiter and Saturn approximate to the in-circle and out-circle of an equilateral triangle). When this did not give him a neat enough outcome, he tried using the Platonic solids. In Geometry, a Platonic solid is a convex Regular polyhedron. In fact, planetary orbits can be related using two-dimensional geometric figures, but the figures do not occur in a particularly neat order. Even in his own lifetime (with less accurate data than we now possess) Kepler could see that the fit of the Platonic solids was imperfect. However, other geometric configurations are possible.

Closeup of inner section of the model

Natural forms

Many forms observed in nature can be related to geometry (for sound reasons of resource optimization). For example, the chambered nautilus grows at a constant rate and so its shell forms a logarithmic spiral to accommodate that growth without changing shape. Definition In Polar coordinates ( r, θ the curve can be written as r = ae^{b\theta}\ or \theta Also, honeybees construct hexagonal cells to hold their honey. This article refers collectively to all true honey bees for the "common" domesticated honey bee see European honey bee Honey bees These and other correspondences are seen by believers in sacred geometry to be further proof of the cosmic significance of geometric forms. But some scientists see such phenomena as the logical outcome of natural principles.

Art and architecture

The golden ratio, geometric ratios, and geometric figures were often employed in the design of Egyptian, ancient Indian, Greek and Roman architecture. In Mathematics and the Arts two quantities are in the Golden ratio if the Ratio between the sum of those quantities and the larger one is the The Nile valley has been the site of one of the most influential Civilizations which developed a vast array of diverse structures encompassing Ancient Egyptian Architecture was extinct in Greece from the end of the Mycenaean period (about 1200 BC to the 7th century BC when urpeppeeban life and prosperity recovered The Architecture of Ancient Rome adopted the external Greek architecture for their own purposes which were so different from Greek buildings as to create a new The term architecture (from Greek αρχιτεκτονικήarchitektoniki) can be used to mean a process a profession or documentation Medieval European cathedrals also incorporated symbolic geometry. Indian and Himalayan spiritual communities often constructed temples and fortifications on design plans of mandala and yantra. Fortifications are Military Constructions and Buildings designed for defense in Warfare Humans have constructed defensive works for For examples of sacred geometry in art and architecture refer:

• Labyrinth (an Eulerian path, as distinct from a maze)
• Mandala
• Flower of Life
• Parthenon
• Taijitu (Yin-Yang)
• Tree of Life
• Rose Window
• Celtic art such as the Book of Kells
• Yantra
• Swastika
• Dharmacakra

Contemporary usage

Approximate and true golden spirals. In Greek mythology, the Labyrinth ( Greek λαβύρινθος labyrinthos) was an elaborate structure designed and built by the legendary artificer In Graph theory, an Eulerian path is a path in a graph which visits each edge exactly once A maze is a complex Tour puzzle in the form of a complex branching passage through which the solver must find a route Mandala ( Sanskrit maṇḍala मंड "essence" + ल "having" or "containing" This article deals with the Flower of Life in real-world references The Parthenon ( Ancient Greek:) is a temple of the Greek goddess Athena, built in the 5th century BC on the Athenian Acropolis In Chinese philosophy, the concept of yin and yang ( is used to describe how seemingly opposing forces are bound together intertwined and interdependent in the See also Tree of life (disambiguation for other meanings of the Tree of Life A Rose window (or Catherine window) is often used as a generic term applied to a circular Window, but is especially used for those found in churches Celtic art is art associated with various people known as Celts; those who spoke the Celtic languages in Europe from pre-history through to the modern period The Book of Kells (Leabhar Cheanannais (Dublin Trinity College Library MS A Yantra are 'instruments' or more simply 'symbols' usually used to focus the mind The swastika (from Sanskrit: svástika sa स्वस्तिक Hindu IS CORRECT if 'ि' is positioned incorrectly see -->) is The Dharmachakra ( Sanskrit) or Dhammachakka ( Pāli) Tibetan chos kyi 'khor lo, Chinese fălún 法輪 In Geometry, a golden spiral is a Logarithmic spiral whose growth factor b is related to &phi the Golden ratio. The green spiral is made from quarter-circles tangent to the interior of each square, while the red spiral is a Golden Spiral, a special type of logarithmic spiral. Definition In Polar coordinates ( r, θ the curve can be written as r = ae^{b\theta}\ or \theta Overlapping portions appear yellow. The length of the side of a larger square to the next smaller square is in the golden ratio.

A contemporary usage of the term sacred geometry describes assertions of a mathematical order to the intrinsic nature of the universe. The Universe is defined as everything that Physically Exists: the entirety of Space and Time, all forms of Matter, Energy Scientists see the same geometric and mathematical patterns as arising directly from natural principles.

Some of the most prevalent traditional geometric forms ascribed to sacred geometry include the sine wave, the sphere, the vesica piscis, the 5 platonic solids, the torus (donut), the golden spiral, the tesseract (4-dimensional cube), and the merkaba (2 oppositely oriented and interpenetrating tetrahedrons). "Globose" redirects here See also Globose nucleus. A sphere (from Greek σφαίρα - sphaira, "globe The vesica piscis is a Shape which is the intersection of two Circles with the same radius intersecting in such a way that the center of each circle lies on the circumference In Geometry, a Platonic solid is a convex Regular polyhedron. In Geometry, a torus (pl tori) is a Surface of revolution generated by revolving a Circle in three dimensional space about an axis Coplanar In Geometry, a golden spiral is a Logarithmic spiral whose growth factor b is related to &phi the Golden ratio. Geometry The tesseract can be constructed in a number of different ways For the series of Israeli main battle tanks see Merkava. The Hebrew word Merkabah (he מרכבה " Chariot " derived from the consonantal

See also

• Bindu
• Sri Chakra
• Crop circle
• Ley lines
• Fractal
• Folk mathematics
• Proportion (architecture)
• Platonic solids
• Golden ratio
• Golden spiral
• Astrological aspects
• Pythagorean symbols

Further reading

• Beginnings: Geomancy, Builders' Rites and Electional Astrology in the European Tradition by Nigel Pennick
• Sacred Geometry: Symbolism and Purpose in Religious Structures by Nigel Pennick
• The Ancient Science of Geomancy: Living in Harmony with the Earth by Nigel Pennick
• The Sacred Art of Geometry: Temples of the Phoenix by Nigel Pennick
• The Oracle of Geomancy by Nigel Pennick
• The Ancient Science of Geomancy: Man in Harmony with the Earth by Nigel Pennick
• George Bain. Bindu is a Sanskrit term meaning "point" or "dot" The Sri Chakra or Shri Yantra of Tripura Sundari is a Yantra or Mandala formed by nine interlocking triangles surrounding the Bindu Crop circles are patterns created by the flattening of crops such as Wheat, Barley, Rapeseed (also called "canola" Rye Ley lines are hypothetical alignments of a number of places of geographical interest such as ancient Monuments and Megaliths Their existence was suggested A fractal is generally "a rough or fragmented geometric shape that can be split into parts each of which is (at least approximately a reduced-size copy of the whole" Proportion is the relation between elements and a whole Proportion is a correspondence among the measures of the members of an entire work and of the whole to a certain part selected In Geometry, a Platonic solid is a convex Regular polyhedron. In Mathematics and the Arts two quantities are in the Golden ratio if the Ratio between the sum of those quantities and the larger one is the In Geometry, a golden spiral is a Logarithmic spiral whose growth factor b is related to &phi the Golden ratio. In Astrology, an aspect is an Angle the planets make to each other in the horoscope and also to the ascendant midheaven descendant and nadir Nigel Campbell Pennick, born 1946 in Guildford, Surrey, England in the United Kingdom, an author Sacred geometry is Geometry used in the design of Sacred architecture and Sacred art. Nigel Campbell Pennick, born 1946 in Guildford, Surrey, England in the United Kingdom, an author Nigel Campbell Pennick, born 1946 in Guildford, Surrey, England in the United Kingdom, an author Nigel Campbell Pennick, born 1946 in Guildford, Surrey, England in the United Kingdom, an author Nigel Campbell Pennick, born 1946 in Guildford, Surrey, England in the United Kingdom, an author Nigel Campbell Pennick, born 1946 in Guildford, Surrey, England in the United Kingdom, an author Celtic Art: The Methods of Construction. Dover, 1973. ISBN 0-486-22923-8.
• Robert Lawlor. Robert Lawlor (born 1939 is an Anthropologist, Mythographer, Symbologist and author of several books Sacred Geometry: Philosophy and practice (Art and Imagination). Thames & Hudson, 1989 (1st edition 1979, 1980, or 1982). ISBN 0-500-81030-3.
• John Michell. John Michell (born February 6, 1933, sometimes credited as John F City of Revelation. Abacus, 1972. ISBN 0-349-12320-9.
• Michael S. Schneider. A Beginner's Guide to Constructing the Universe: Mathematical Archetypes of Nature, Art, and Science. Harper Paperbacks, 1995. ISBN 0-06-092671-6
• Lucy R Lippard: Overlay: Contemporary Art and the Art of Prehistory. Pantheon Books New York 1983 ISBN 0-394-54812-8

External links

• Sacred geometry at the Open Directory Project