74 Knot
   HOME
*





74 Knot
In mathematical knot theory, 74 is the name of a 7-crossing knot which can be visually depicted in a highly-symmetric form, and so appears in the symbolism and/or artistic ornamentation of various cultures. Visual representations The interlaced version of the simplest form of the Endless knot symbol of Buddhism is topologically equivalent to the 74 knot (though it appears to have nine crossings), as is the interlaced version of the unicursal hexagram of occultism. (However, the endless knot symbol has more complex forms not equivalent to 74, and both the endless knot and unicursal hexagram can appear in non-interlaced versions, in which case they are not knots at all.) File:EndlessKnot03d.png, One form of the Endless knot of Buddhism File:Interwoven unicursal hexagram.svg, Interwoven unicursal hexagram. File:Celtic-knot-linear-7crossings.svg, 74 knot in Celtic artistic form, also found in some Hausa embroideries.''Celtic Art: The Methods of Construction'' by George Bain, ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Knot Theory
In the mathematical field of topology, knot theory is the study of knot (mathematics), mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined so it cannot be undone, Unknot, the simplest knot being a ring (or "unknot"). In mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space, \mathbb^3 (in topology, a circle is not bound to the classical geometric concept, but to all of its homeomorphisms). Two mathematical knots are equivalent if one can be transformed into the other via a deformation of \mathbb^3 upon itself (known as an ambient isotopy); these transformations correspond to manipulations of a knotted string that do not involve cutting it or passing through itself. Knots can be described in various ways. Using different description methods, there may be more than one description of the same knot. For example, a common method of descr ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Endless Knot
Endless knot in a Burmese Pali manuscript The endless knot or eternal knot is a symbolic knot and one of the Eight Auspicious Symbols. It is an important symbol in Hinduism, Jainism and Buddhism. It is an important cultural marker in places significantly influenced by Tibetan Buddhism such as Tibet, Mongolia, Tuva, Kalmykia, and Buryatia. It is also found in Celtic and Chinese symbolism. History The endless knot appears on clay tablets from the Indus Valley civilization (2500 BC) and on a historic era inscription. Interpretations Buddhism Various Buddhist interpretations of the symbol are: * The endless knot iconography symbolised Samsara ''i.e.'', the endless cycle of suffering of birth, death and rebirth within Tibetan Buddhism. * The inter-twining of wisdom and compassion. * Interplay and interaction of the opposing forces in the dualistic world of manifestation, leading to their union, and ultimately to harmony in the universe. * The mutual dependence of relig ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Topological
In mathematics, topology (from the Greek words , and ) is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself. A topological space is a set endowed with a structure, called a ''topology'', which allows defining continuous deformation of subspaces, and, more generally, all kinds of continuity. Euclidean spaces, and, more generally, metric spaces are examples of a topological space, as any distance or metric defines a topology. The deformations that are considered in topology are homeomorphisms and homotopies. A property that is invariant under such deformations is a topological property. Basic examples of topological properties are: the dimension, which allows distinguishing between a line and a surface; compactness, which allows distinguishing between a line and a circle; connecte ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Unicursal Hexagram
The unicursal hexagram is a hexagram or six-pointed star that can be traced or drawn unicursally, in one continuous line rather than by two overlaid triangles. The hexagram can also be depicted inside a circle with the points touching it. It is often depicted in an interlaced form with the lines of the hexagram passing over and under one another to form a knot. It is a specific instance of the far more general shape discussed in Blaise Pascal's 1639 '' Hexagrammum Mysticum Theorem''. Giordano Bruno and the Hermetic Trinity in his mathesis In his work titled ''Essays Upon the Mathematics of Mordente: One Hundred and Sixty Theses/Articles Against the Mathematicians and Philosophers of this Age,'' Italian-Dominican cosmotical theorist, Hermetic occultist, mathematician and philosophist Giordano Bruno used the unicursal hexagram symbol to represent ''Figura Amoris'' ("figure of love") part of the Hermetic Trinity in his mathesis. Thelema In Aleister Crowley's Thelema, the hex ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Occultism
The occult, in the broadest sense, is a category of esoteric supernatural beliefs and practices which generally fall outside the scope of religion and science, encompassing phenomena involving otherworldly agency, such as magic and mysticism and their varied spells. It can also refer to supernatural ideas like extra-sensory perception and parapsychology. The term ''occult sciences'' was used in 16th-century Europe to refer to astrology, alchemy, and natural magic. The term ''occultism'' emerged in 19th-century France, amongst figures such as Antoine Court de Gébelin. It came to be associated with various French esoteric groups connected to Éliphas Lévi and Papus, and in 1875 was introduced into the English language by the esotericist Helena Blavatsky. Throughout the 20th century, the term was used idiosyncratically by a range of different authors, but by the 21st century was commonly employed – including by academic scholars of esotericism – to refer to a range of es ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Celtic Knot
Celtic knots ( ga, snaidhm Cheilteach, cy, cwlwm Celtaidd, kw, kolm Keltek, gd, snaidhm Ceilteach) are a variety of knots and stylized graphical representations of knots used for decoration, used extensively in the Celtic style of Insular art. These knots are most known for their adaptation for use in the ornamentation of Christian monuments and manuscripts, such as the 8th-century St. Teilo Gospels, the Book of Kells and the Lindisfarne Gospels. Most are endless knots, and many are varieties of basket weave knots. History The use of interlace patterns had its origins in the late Roman Empire. Knot patterns first appeared in the third and fourth centuries AD and can be seen in Roman floor mosaics of that time. Interesting developments in the artistic use of interlaced knot patterns are found in Byzantine architecture and book illumination, Coptic art, Celtic art, Islamic art, Kievan Rus'ian book illumination, Ethiopian art, and European architecture and book illum ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


George Bain (artist)
George Bain (1881–1968), born in Scrabster in Caithness, Scotland, was an artist and art teacher who made an important and influential contribution to the revival of interest in Celtic and Insular art which began in the 19th century Biography In 1888 Bain left Scrabster with his family. They had intended to emigrate to Canada but, during a stop in Leith, the Bains met with a cousin who persuaded them to settle in Edinburgh instead. After leaving school, Bain joined a firm of printers in Edinburgh while, between the age of 15 and 21, studying art on a part-time basis, attending the School of Applied Art and the Edinburgh School of Art. His first exhibited work as a painter was in 1900 at the Royal Scottish Academy. In 1902 he obtained a scholarship to the Royal College of Art in London. When there, he found that a foundation of Classical Art still controlled the work of the college. In London, he supported himself by working as a freelance newspaper artist and as a book and ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Syrian Flag
As a result of the Syrian Civil War since 2011, there are at least two flags used to represent Syria, used by different factions in the war. The incumbent government of the Syrian Arab Republic led by the Ba'ath Party uses the red-white-black tricolour originally used by the United Arab Republic, while Syrian opposition factions such as the Syrian National Coalition use the green-white-black tricolour known as the ''Independence flag'', first used by Mandatory Syria. Flag of the Syrian Government The current flag was first adopted in 1958 to represent Syria as part of the United Arab Republic, and was used until 1961. It was readopted in 1980. Since its first adoption, variations of the red-white-black flag have been used in various Arab Unions of Syria with Egypt, Libya, Sudan, Yemen, and Iraq. Although Syria is not part of any Arab state union, the flag of the United Arab Republic was readopted to show Syria's commitment to Arab unity. The usage of the flag has become ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


National Coordination Committee For Democratic Change
The National Coordination Committee for Democratic Change (NCC), or National Coordination Body for Democratic Change (NCB) ( ar, هيئة التنسيق الوطنية لقوى التغيير الديمقراطي ), is a Syrian bloc chaired by Hassan Abdel Azim consisting of 13 left-wing political parties and "independent political and youth activists". It has been defined by Reuters as the internal opposition's main umbrella group. The NCC initially had several Kurdish political parties as members, but all except for the Democratic Union Party left in October 2011 to join the Kurdish National Council. Some opposition activists have accused the NCC of being a "front organization" for Bashar al-Assad's government and some of its members of being ex-government insiders. Relations with other Syrian political opposition groups are generally poor. The Syrian Revolution General Commission, the Local Coordination Committees of Syria or the Supreme Council of the Syrian Revolution oppo ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


7₄ Knot
In mathematical knot theory, 74 is the name of a 7-crossing knot which can be visually depicted in a highly-symmetric form, and so appears in the symbolism and/or artistic ornamentation of various cultures. Visual representations The interlaced version of the simplest form of the Endless knot symbol of Buddhism is topologically equivalent to the 74 knot (though it appears to have nine crossings), as is the interlaced version of the unicursal hexagram of occultism. (However, the endless knot symbol has more complex forms not equivalent to 74, and both the endless knot and unicursal hexagram can appear in non-interlaced versions, in which case they are not knots at all.) File:EndlessKnot03d.png, One form of the Endless knot of Buddhism File:Interwoven unicursal hexagram.svg, Interwoven unicursal hexagram. File:Celtic-knot-linear-7crossings.svg, 74 knot in Celtic artistic form, also found in some Hausa embroideries.''Celtic Art: The Methods of Construction'' by George Bain, ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]