Gordian Knot - Gordian Knot The Gordian Knot is a metaphor for an intractable problem, solved by a bold stroke ("cutting the Gordian knot"). The knot associated with the growing legend of Alexander the Great was a knot of cornel bark (Cornus mas) which tied the components of a yoke to a chariot. The chariot was an emblem of power and constant military readiness that stood in the palace at Gordium of the former kings of Phrygia, which in the fourth century BCE had been reduced to a satrapy of the Persian Empire. The chariot, dedicated to the Phrygian god Sabazios—whom the Greeks identified with Zeus—was linked by legend with the accession to power of a local king Gordias. This "chariot" of later imagery was the ox-cart in which.
List of knots - of knots Alphabetical list of knots The variant knot names are included in the list with redirecting links to the most formal name. (approximately 300 knots are listed at this time) A B C D E F G H I J K L M N O P Q R S T U V W X Y Z A adjustable bend adjustable hitch adjustable loop albright knot alpine butterfly bend alpine butterfly knot alpine butterfly loop alpine coil alternate ring hitching anchor bend angler's knot angler's loop arbor knot artillery loop asher's equalizer ashley's stopper knot B bachmann knot bag knot bait loop bale sling hitch barrel knot barrel sling becket hitch bimini twist binder's knot blackwall hitch blake's hitch blood knot blood loop dropper knot boa knot boas bowline boatman's knot.
Gordias - the first man to ride up to the temple in a cart. It was the farmer Gordias who appeared, riding in his ox-cart. Gordias founded the city of Gordium, which became the Phrygian capital. His ox-cart was preserved in the acropolis. Its yoke was secured with an intricate knot called the Gordian Knot. Legend said that he who could unravel it would be master of 'Asia' which was equated at the time with Anatolia. Instead, Alexander the Great sliced the knot in half with his sword, in 333 BCE. 'With' Cybele or under her patronage as Great Mother goddess of Phrygia, Gordias adopted Midas. A later Gordias was a Phrygian king, the father with Eurynome of Adrastus. Adrastus accidentally killed his own brother and had to flee to Lycia..
Catholic monarchs - the conversion of thousands of Jews. The Inquisition was created by their royal decree. The title was bestowed on them by Pope Alexander VI. Their joint motto was Tanto monta, monta tanto ("It amounts so, so it amounts"). It was created by Antonio de Nebrija and was either: an allusion to the Gordian knot: Tanto monta, monta tanto, cortar como desatar ("..., cutting as untying") explaining the equal footing for both monarchs: Tanto monta, monta tanto, Isabel como Fernando ("..., Isabella as Ferdinand") Their symbol was el yugo y las flechas, a yoke and a fasces of arrows. The yoke is another allusion to the Gordian knot. Y and F are the initials of Ysabel (archaic spelling) and Fernando. This symbol was later used by the Spanish fascist party the Falange,.
Phrygia - 12th century BC, the political vacuum in central/western Anatolia was filled by a wave of Indo-European migrants from Europe including the Phrygians, who established their kingdom, with a capital eventually at Gordium. It is still not known whether the Phrygians were actively involved in the collapse of the Hittite capital Hattusa, or whether they simply moved into the vacuum that followed the collapse of Hittite hegemony. The first Phrygian Midas had been king of the Moschi or Brigi in the western part of archaic Thrace, which later Greeks knew as Macedonia, according to Greek mythographers. This Midas, who became surrounded in myth and legend, migrated with his people through Thrace, eventually reaching Asia Minor, probably in the period of unrest and migrations, about 1200 BCE, that the Egyptians associated with the.
Office of Strategic Influence (band) - by Jim Matheos (Fates Warning), featuring Mike Portnoy (Dream Theater), Kevin Moore (Chroma Key), Sean Malone (Gordian Knot) and Steven Wilson (Porcupine Tree). Discography Office of Strategic Influence (2003) External Links OSI Official Website This article is a stub. You can help Wikipedia by fixing it..
Versatackle knot - Versatackle knot A versatackle is a way of simulating a block and tackle without actual pulleys or deadeyes. It consists of two loops with the rope passed back and forth between them. http://www.geocities.com/roo_two/Versatackle.html.
Klemheist knot - Klemheist knot The Klemheist knot is a type of friction knot, used as part of a system to ascend or descend a climbing rope. As with other friction knots, it grips the rope when weight is applied and is free to move when the weight is released. It is similar in function to the Prusik knot and the Bachmann knot, but has the advantage over the prusik that a loop of webbing can be used as an alternative to cord. This article is a stub. You can help Wikipedia by fixing it..
Knot - Knot Alternate meanings in knot (disambiguation) A knot is a method for fastening or securing linear material such as rope by tying or interweaving. It may consist of a length of one or more segments of rope, cord, webbing, twine, string, strap or even chain interwoven so as to create in the line the ability to bind to itself or to some other object - the "load". Some knots are well adapted to bind to particular objects such as another rope, cleat, ring, stake or to constrict an object. Decorative knots usually bind to themselves to produce attractive patterns. For a list of knots (approx. 300) see: List of knots. Knots have been the subject of interest both for their ancient origins, common use or their.
Knot theory - Knot theory Knot theory is a branch of topology that was inspired by observations, as the name suggests, of knots. But progress in the field no longer depends on experiments with twine. Knot theory concerns itself with abstract properties of theoretical knots--the spatial arrangements that in principle could be assumed by a loop of string. In mathematical jargon, these are embeddings of the closed circle in three dimensional space. Knot theory originated in an idea of Lord Kelvin's, that atoms were knots of swirling vortices in the æther, and that an understanding and classification of all possible knots would explain why atoms absorb and emit light at only the discrete wavelengths that they do (i.e. explain what we now understand to depend on quantum energy levels)..
Knot invariant - Knot invariant A knot invariant is a useful tool in knot theory. It is a quantity (in a broad sense - some are indeed numbers, some are polynomials and some are a simple yes/no) defined for each knot. Their usefulness is in distinguishing knots from one another or in outlining other properties of knots. Some knot invariants are worked out from a diagram, in which case they must be unchanged (that is to say, invariant) under the Reidemeister moves. Knot polynomials are examples of this. These are the invariants most useful in distinguishing knots from one another, though at the time of writing it is not known whether any of these distinguishes all knots from each other or even just the unknot from all other knots..
Knot polynomial - Knot polynomial A knot polynomial is a particular knot invariant. It can also be viewed as a hash function. The coefficients are the important part; the polynomial is not meant to be evaluated, but merely a way of indexing a set of numbers. "Polynomial" is used in a much more general sense than is usual. As functions in x, these are actually Laurent polynomials in x1/n for various n. Table of contents showTocToggle("show","hide") 1 Justification 2 Alexander polynomial 2.1 Example 2.2 Example 2 3 Alexander-Conway polynomial 4 Jones polynomial 5 HOMFLY(PT) polynomial 6 BLM/Ho polynomial 7 Kauffman unary polynomial 8 Kauffman binary polynomial 9 Unworked examples 10 (Composing notes) Justification Why bother? For one thing, a polynomial is much easier to communicate than a knot, or.
Knot (disambiguation) - Knot (disambiguation) Knot has several valid meanings, including: A knot is a fastening or securing of rope, or a similar material. In mathematical knot theory, a knot is an embedding of a circle in 3-D space — an abstract representation of knot in the sense cited above. A red knot or knot is a bird, a migratory sandpiper. A shoulder knot is a decorative braid or ribbon, worn on the shoulder. In gardening a knot is an elaborate interlace of tightly-clipped low hedging, often of contrasting leaf color or textures, typical of a knot garden or a bed in a parterre. A top knot is a large tuft of hair (or ribbons) on a person's head A knot is a type of join, as in a.
Knot (mathematical) - Knot (mathematical) In knot theory, a knot is an embedding of a circle in 3-D space, considered up to deformations (isotopies). This is basically equivalent to a conventional knot with the ends of the string joined together to prevent it from becoming undone. In higher dimensions, circles are unknotted anyway, so one considers embeddings of spheres and hyperspheres, always in codimension 2. This article is a stub. You can help Wikipedia by fixing it..
Knot (nautical) - Knot (nautical) In navigation, a knot is a unit of speed equal to one nautical mile per hour, approximately 1.15 mph; 1.852 km/h or 0.514 m/s. In many sailing ships, speed was measured by casting the log from the stern. The log was relatively immobile, and attached by line to a reel. Knots placed at a distance of 47 feet 3 inches passed through a sailor's fingers, while another used a 28-second sandglass to time the operation. The knot count would be reported and used in the sailing master's dead reckoning and navigation. Ship speeds are usually reported in knots to this day. See also: Conversion Calculator for Units of SPEED.
Gordian III - Gordian III Marcus Antonius Gordianus Pius (January 20 225-244), known in English as Gordian III, was Roman emperor from 238 to 244. Gordian was the son of Antonia Gordiana, daughter of Gordian I and sister of Gordian II. The name of his father his unknown, as is his own before he assumed his grandfather's name in 238. Following the murder of emperor Alexander Severus in Moguntiacum (modern Mainz), the capital of the Roman province Germania Inferior, Maximinus Thrax was acclaimed emperor, despite strong opposition of the Roman senate and the majority of the population. In response to what was considered in Rome as a rebellion, Gordian's grandfather and uncle, Gordian I and II were proclaimed joint emperors in the African province. Their revolt was suppressed within.
Gordian I - Gordian I Marcus Antonius Gordianus Sempronianus Romanus Africanus (around 159-April 12 238) was Roman emperor, known in English as Gordian I, during the year of 238. Little is known about Gordian's early life of familiar background. He was from a modest, although extremely rich, equestrian family but climbed the hierarchy until he entered the Roman senate. Gordian had at least two children: Marcus Antonius Gordianus (Gordian II) and Antonia Gordiana, the mother of Gordian III. Gordian's political career started relatively late in his life and probably his early years were spent in rhetoric and literary studies. As a military man, Gordian commanded the Legio IV Scythica when the legion was stationed in the Syria province. He served as governor of Roman Britain in 216 and was.
Gordian II - Gordian II Marcus Antonius Gordianus Sempronianus Romanus Africanus (around 192-April 12 238) was Roman emperor, known in English as Gordian II, during the year of 238. Gordian was the son of his namesake Marcus Antonius Gordianus, emperor Gordian I by an unknown mother. He had a sister, Antonia Gordiana, who was the mother of Gordian III. The official history of the Roman emperors provides the only account of Gordian's early career. Since his memory was cherished after his death, the information is questionable and remains unproved. According to this source, Gordian served as quaestor in Heliogabalus' reign and as praetor and consul suffect with Alexander Severus as emperor. In 237, Gordian went to the Africa Roman provinces under his father's command as a governor. Early in.
Unknot - Unknot The unknot is a loop of rope without a knot in it (in knot theory, ropes have no ends; they are loops). A knot theorist might describe the unknot as the standard embedding of the circle (i.e. what the layman would call a circle), though any knot that can be 'untied' to give this would also be considered as the unknot. Deciding if a particular knot is the unknot was a major driving force behind knot invariants and it is not known whether the current invariants are sufficient to answer this question. This object is also called the not knot or the trivial knot, the latter is the more natural name for it, since it fits in with the usual mathematical concept of 'trivial', but the punning term unknot has.
Granny knot - Granny knot Canonical Name: granny knot. Variant Names: None. [completed picture] Category: bend. Origin: Ancient. Related knots: reef knot. Releasing: Non-jamming. Efficiency: Unknown%. Caveat: spills. It is an inferior knot as it has it tendency to undo. Uses: Securing shoes. Comments: This is the knot used most commonly to tie laced shoes. It is similar in structure to the better holding square knot. Structure: Tying: article/pictures http://www.geocities.com/roo_two/reefknot.html.
