NationMaster - Encyclopedia: Sacred geometry

Sacred geometry can be described as a belief system attributing a religious or cultural value to many of the fundamental forms of space and time. According to this belief system, the basic patterns of existence are perceived as sacred because in contemplating them one is contemplating the origin of all things. By studying the nature of these forms and their relationship to each other one may gain insight into the scientific, philosophical, psychological, aesthetic, and mystical laws of the universe. Backmasking (also known incorrectly as backward masking)[1] is a recording technique in which a sound or message is recorded backwards onto a track that is meant to be played forwards. ... This article is about the theory of reversed messages in normal speech. ... Numerology is any of many systems, traditions or beliefs in a mystical or esoteric relationship between numbers and physical objects or living things. ... Theomatics is a numerological study of the Greek and Hebrew text of the Christian Bible, based upon gematria and isopsephia, that its proponents assert demonstrates the direct intervention of God in the writing of Christian scripture. ... Bible codes, also known as Torah codes, are words, phrases and clusters of words and phrases that some people believe are meaningful and exist intentionally in coded form in the text of the Bible. ... The German Lorenz cipher machine, used in World War II for encryption of very high-level general staff messages Cryptography (or cryptology; derived from Greek ÎºÏÏ…Ï€Ï„ÏŒÏ‚ kryptÃ³s hidden, and the verb Î³ÏÎ¬Ï†Ï‰ grÃ¡fo write or Î»ÎµÎ³ÎµÎ¹Î½ legein to speak) is the study of message secrecy. ... An animation of a rotationally symmetric ambigram for the word ambigram A mirror-image ambigram for the word Wiki A rotational ambigram for the word Wikipedia A 3-Dimensional ambigram of the letters A, B and C. A rotational ambigram for the word Vegas GÃ¶del, Escher, Bach cover An... Fnord is the typographic representation of disinformation or irrelevant information intending to misdirect, with the implication of a conspiracy. ... The term pareidolia (pronounced or ), first used in 1994 by Steven Goldstein,[1] 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 filmâ€”flashing images on the screen so quickly that they cannot be perceived by the conscious mind, but nonetheless leaving an unconscious imprint on the viewer. ... Steganography is the art and science of writing hidden messages in such a way that no one apart from the intended recipient knows of the existence of the message; this is in contrast to cryptography, where the existence of the message itself is not disguised, but the content is obscured. ... Apophenia is the experience of seeing patterns or connections in random or meaningless data. ... The clustering illusion is the natural human tendency to see patterns where actually none exist. ... The observer-expectancy effect, in science, is a cognitive bias that occurs in science when a researcher expects a given result and therefore unconsciously manipulates an experiment or misinterprets data in order to find it. ... Pattern recognition is a field within the area of machine learning. ... This article does not adequately cite its references or sources. ... Wikipedia does not have an article with this exact name. ... Wikipedia does not have an article with this exact name. ... The Parthenon seen from the hill of the Pnyx to the west. ... The large rectangle BA is a golden rectangle; that is, the proportion b:a is 1:. If we remove square B, what is left, A, is another golden rectangle. ... This article is currently under construction. ... Religious is a term with both a technical definition and folk use. ... It has been suggested that this article be split into multiple articles accessible from a disambiguation page. ... Space has been an interest for philosophers and scientists for much of human history. ... A pocket watch, a device used to tell time Look up time in Wiktionary, the free dictionary. ... In various religions, sacred (from Latin, sacrum, sacrifice) or holy, objects, places or concepts are believed by followers to be intimately connected with the supernatural, or divinity, and are thus greatly revered. ... Look up origin in Wiktionary, the free dictionary. ... The philosopher Socrates about to take poison hemlock as ordered by the court. ... Psychology (from Greek: ÏˆÏ…Ï‡Î®, psukhÄ“, spirit, soul; and Î»ÏŒÎ³Î¿Ï‚, logos, knowledge) is an academic / applied discipline involving the scientific study of mental processes and behavior of humans and animals. ... The Aesthetic movement is a loosely defined movement in art and literature in later nineteenth-century Britain. ... Mysticism (ancient Greek mysticon = secret) is meditation, prayer, or theology focused on the direct experience of union with divinity, God, or Ultimate Reality, or the belief that such experience is a genuine and important source of knowledge. ... The Universe is defined as the summation of all particles and energy that exist and the space-time in which all events occur. ...

The term sacred geometry is also used for geometry which is employed in the design of sacred architecture or art. The underlying belief is that geometry and mathematical ratios discoverable from geometry also underly music, cosmology, and other observable features of the natural universe. This belief was held from ancient times through the Renaissance and influenced the construction of temples and churches and the creation of religious art. Calabi-Yau manifold Geometry (Greek Î³ÎµÏ‰Î¼ÎµÏ„ÏÎ¯Î±; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. ... Section of the dome of Florence Cathedral. ... The Bath, a painting by Mary Cassatt (1844â€“1926). ... Incorrect shortening of Mathematics. ... // Music is an art form consisting of sound and silence expressed through time. ... Cosmology, from the Greek: ÎºÎ¿ÏƒÎ¼Î¿Î»Î¿Î³Î¯Î± (cosmologia, ÎºÏŒÏƒÎ¼Î¿Ï‚ (cosmos) order + Î»Î¿Î³Î¹Î± (logia) discourse) is the study of the Universe in its totality, and by extension, humanitys place in it. ... The Renaissance (French for rebirth, or Rinascimento in Italian), was a cultural movement in Italy (and in Europe in general) that began in the late Middle Ages, and spanned roughly the 14th through the 17th century. ...

Music

The discovery of the relationship of geometry and mathematics to music 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. 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. However, Dr. Jenny did not make healing claims for his work. Pythagoras of Samos (Greek: ; between 580 and 572 BCâ€“between 500 BC and 490 BC) was an Ionian (Greek) philosopher[1] and founder of the religious movement called Pythagoreanism. ... In music, an octave (sometimes abbreviated 8ve) is the interval between one musical note and another with half or double its frequency. ... The perfect fifth or diapente is one of three musical intervals that span five diatonic scale degrees; the others being the diminished fifth, which is one semitone smaller, and the augmented fifth, which is one semitone larger. ... The perfect fourth or diatessaron, abbreviated P4, is one of two musical intervals that span four diatonic scale degrees; the other being the augmented fourth, which is one semitone larger. ... Hans Jenny (1904-1972) was physician and natural scientist who is considered the father of cymatics, the study of wave phenomena. ... Hans Jenny created this image during his studies of cymatics. ...

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). A work that shows ancient peoples understanding of sacred geometry can be found in Scotland. In the Rosslyn Chapel, Tomas J. Mitchell has found what he calls "frozen music". Apparently, there are 13 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 This is a disambiguation page — a navigational aid which lists other pages that might otherwise share the same title. ... Hans Jenny created this image during his studies of cymatics. ... Pythagoras of Samos (Greek: ; between 580 and 572 BCâ€“between 500 BC and 490 BC) was an Ionian (Greek) philosopher[1] and founder of the religious movement called Pythagoreanism. ... Motto (Latin) No one provokes me with impunity Cha togar mfhearg gun dioladh (Scottish Gaelic) Wha daur meddle wi me?(Scots)1 Anthem (Multiple unofficial anthems) Scotlands location in Europe Capital Edinburgh Largest city Glasgow Official languages English, Gaelic and Scots1 Government Constitutional monarchy - Monarch Queen Elizabeth II... Rosslyn Chapel. ... Rosslyn Chapel. ...

Download high resolution version (704x774, 142 KB)Keplers Platonic solid model of the Solar system from Mysterium Cosmographicum (1596). ... Download high resolution version (704x774, 142 KB)Keplers Platonic solid model of the Solar system from Mysterium Cosmographicum (1596). ... In geometry, a Platonic solid is a convex regular polyhedron. ... Major features of the Solar System (not to scale; from left to right): Pluto, Neptune, Uranus, Saturn, Jupiter, the asteroid belt, the Sun, Mercury, Venus, Earth and its Moon, and Mars. ... Keplers Platonic solid model of the Solar system from Mysterium Cosmographicum (1596). ... Keplers Platonic solid model of the Solar system from Mysterium Cosmographicum (1596). ...

Cosmology

At least as late as Johannes Kepler (1571-1630), a belief in the geometric underpinnings of the cosmos persisted among scientists. 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 fact, planetary orbits can be related using two-dimensional geometric figures, but the figures do not occur in a particularly neat order [2]. 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 [3]. However, other geometric configurations are possible. In mathematics, the Kepler conjecture is a conjecture about sphere packing in three dimensional Euclidean space. ... Mysterium Cosmographicum, (The Sacred Mystery of the Cosmos [Explained]) (alternately translated Cosmic Mystery, The Secret of the World or some variation) is an astronomy book by the German astronomer Johannes Kepler, published at TÃ¼bingen in 1596. ... Bust of Pythagoras Pythagoreanism is a term used for the esoteric and metaphysical beliefs held by Pythagoras and his followers, the Pythagoreans, who were much influenced by mathematics and probably a main inspirational source for Plato and platonism. ... Johannes Kepler (December 27, 1571 â€“ November 15, 1630) was a German mathematician, astronomer and astrologer, and a key figure in the 17th century astronomical revolution. ... Events January 11 - Austrian nobility is granted Freedom of religion. ... Events February 22 - Native American Quadequine introduces Popcorn to English colonists. ... A Platonic solid is a convex polyhedron whose faces all use the same regular polygon and such that the same number of faces meet at all its vertices. ...

The connection between geometry, cosmology, astrology, harmonics, and music is said to be through musica universalis (the "music of the spheres") [4]. Calabi-Yau manifold Geometry (Greek Î³ÎµÏ‰Î¼ÎµÏ„ÏÎ¯Î±; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. ... Cosmology, from the Greek: ÎºÎ¿ÏƒÎ¼Î¿Î»Î¿Î³Î¯Î± (cosmologia, ÎºÏŒÏƒÎ¼Î¿Ï‚ (cosmos) order + Î»Î¿Î³Î¹Î± (logia) discourse) is the study of the Universe in its totality, and by extension, humanitys place in it. ... Hand-coloured version of the anonymous Flammarion woodcut (1888). ... In acoustics and telecommunication, the harmonic of a wave is a component frequency of the signal that is an integer multiple of the fundamental frequency. ... // Music is an art form consisting of sound and silence expressed through time. ... Musica universalis or music of the spheres is a medieval philosophical concept that regards the proportions in the movements of the celestial bodies - the Sun, Moon and planets - as a form of musica (the medieval Latin name for music). ...

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. Also, honeybees construct hexagonal cells to hold their honey. These and other correspondences are seen by believers in sacred geometry to be further proof of the cosmic significance of geometric forms. Scientists, on the other hand, see such phenomena as the logical outcome of natural principles. Binomial name Nautilus pompilius Linnaeus, 1758 Subspecies Nautilus pompilius pompilius Linnaeus, 1758 Nautilus pompilius suluensis Habe & Okutani, 1988 Synonyms Nautilus repertus Iredale, 1944 The Chambered Nautilus (Nautilus pompilius) is the best known species of nautilus. ... A logarithmic spiral, equiangular spiral or growth spiral is a special kind of spiral curve which often appears in nature. ... Species Apis andreniformis Apis cerana, or eastern honey bee Apis dorsata, or giant honey bee Apis florea Apis koschevnikovi Apis laboriosa Apis mellifera, or western honey bee Apis nigrocincta Apis nuluensis Honey bees are a subset of bees which represent a far smaller fraction of bee diversity than most people...

Art and architecture

The golden ratio, geometric ratios, and geometric figures were often used in the design of Egyptian, ancient Indian, Greek and Roman architecture. Medieval European cathedrals also incorporated symbolic geometry. Examples include: // Articles with similar titles include Golden mean (philosophy), the felicitous middle between two extremes, and Golden numbers, an indicator of years in astronomy and calendar studies. ... This article does not cite any references or sources. ... Section of the dome of Florence Cathedral. ...

A Roman mosaic picturing Theseus and the Minotaur. ... The KÃ¶nigsberg Bridges graph In the mathematical field of graph theory, an Eulerian path is a path in a graph which visits each edge exactly once. ... Public hedge maze in the English Garden at SchÃ¶nbusch Park, Aschaffenburg, Germany A small maze A maze is a tour puzzle in the form of a complex branching passage through which the solver must find a route. ... Buddhist mandala Mandala (Sanskrit circle, completion) is a term used to refer to various objects. ... The Parthenon seen from the hill of the Pnyx to the west. ... A commonly used version of the Taijitu The Taijitu of Zhou Dun-yi. ... The Tree-of-Life is a fictional plant (the ancestor of yams, with similar appearance and taste) in Larry Nivens Known Space universe, for which all Hominids have an in-built genetic craving. ... The rose window in Bristol Cathedral, Bristol, England, at the western end of the nave. ... Muiredacha Cross. ... This page (folio 292r) contains the lavishly decorated text that opens the Gospel of John. ... The Sri Yantra. ...

Contemporary usage

A contemporary usage of the term sacred geometry describes New Age and occult assertions of a mathematical order to the intrinsic nature of the universe. Scientists see the same geometric and mathematical patterns arise directly from natural principles. Fake spiral made of circle quarters, logarithmic spiral. ... Fake spiral made of circle quarters, logarithmic spiral. ... A golden spiral is a logarithmic spiral whose growth factor b is related to phi, the golden ratio. ... A logarithmic spiral, equiangular spiral or growth spiral is a special kind of spiral curve which often appears in nature. ... New Age describes a broad movement characterized by alternative approaches to traditional Western culture. ... The word occult comes from the Latin occultus (clandestine, hidden, secret), referring to knowledge of the hidden.[1] In the medical sense it is used commonly to refer to a structure or process that is hidden, e. ... The Universe is defined as the summation of all particles and energy that exist and the space-time in which all events occur. ...

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). In trigonometry, an ideal sine wave is a waveform whose graph is identical to the generalized sine function y = Asin[ω(x − α)] + C, where A is the amplitude, ω is the angular frequency (2π/P where P is the wavelength), α is the phase shift, and C... A sphere is a perfectly symmetrical geometrical object. ... The Vesica Piscis The vesica piscis is a symbol made from two circles of the same radius, intersecting in such a way that the center of each circle lies on the circumference of the other. ... A Platonic solid is a convex polyhedron whose faces all use the same regular polygon and such that the same number of faces meet at all its vertices. ... In geometry, a torus (pl. ... A golden spiral is a logarithmic spiral whose growth factor b is related to phi, the golden ratio. ... In geometry, the tesseract, also called 8-cell or octachoron, is the four-dimensional analog of the (three-dimensional) cube, where motion along the fourth dimension is often a representation for bounded transformations of the cube through time. ... One traditional depiction of the chariot vision, based on the description in Ezekiel. ...

Believers in sacred geometry also see religious and spiritual significance in crop circles and in ancient architecture, such as the Great Pyramid of Giza and Stonehenge. This article is about the band, Crop Circles, for information about the controversial phenomenon, see crop circle. ... The Great Pyramid of Giza is the oldest and the largest of the three pyramids in the Giza Necropolis bordering what is now Cairo, Egypt in Africa ( ). The oldest and only remaining member of the Seven Wonders of the World, it is believed to have been constructed over a 20... For other uses, see Stonehenge (disambiguation). ...

Chris Korda, an infamous software engineer and leader of Church of Euthanasia, designed an open-source software named Whorld that visualizes and generates sacred geometry patterns. The Reverend Chris Korda (b. ... The Church of Euthanasia (CoE) is a dadaist political organization started by Rev. ... // Open Source is a set of principles and practices that promote access to the design and production of goods and knowledge. ... Whorld is a free and open-source software produced by Chris Korda, a software engineer and the infamous founder of Church of Euthanasia. ...

The Flower of Life Research organization uses sacred geometry in meditation techniques based on the teachings of New Age author Drunvalo Melchizedek. These teachings focus primarily on the Flower of Life, the Merkabah, and Metatron's Cube as spiritual allegories. Flower of Life facilitator Simon Prone describes sacred geometry as "meditation for the logical side of our brain"[5]. A large statue in Bangalore depicting Shiva meditating Meditation describes a state of concentrated attention on some object of thought or awareness. ... The Flower of Life (click image for links to further images). ... This article does not cite any references or sources. ... Metatron (Hebrew ×ž×˜×˜×¨×•×Ÿ or ×ž×™×˜×˜×¨×•×Ÿ), is the name of an angel in Judaism and some branches of Christianity. ...

The MERU Foundation focuses on geometric properties of the Hebrew alphabet and geometric metaphors in the Bible based on the writings of Stanley Tenen. This Gutenberg Bible is displayed by the United States Library. ...

Contents

Music

Cosmology

Natural forms

Art and architecture

Contemporary usage

See also

External links

Further reading

Contents

Music var ACE_AR = {Site: '756743', Size: '300250'};

Cosmology

Natural forms

Art and architecture

Contemporary usage

See also

External links

Further reading

Music