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Knot

List of hitch knots

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	Animated Knots by Grog
		So, handle rope with care, inspect and test any knot you tie, and respect any rope subject to a heavy load, e.g., a rope controlling a large sail, a mooring rope when you are docking or berthing, and especially your own climbing rope.
		An angle, a kink, or a knot, stresses the fibers unevenly and weakens the rope.
		Although some knots in some ropes are claimed to only weaken a rope to about 80% of its rated strength, other knots weaken a rope to about 50%.
	www.animatedknots.com (947 words)

	Celtic Knot Font - Create custom Celtic Knotwork on your computer!
		The result is that each key on your keyboard makes a piece of a Celtic knot.
		Their instruction manuals have become source material for clip art; with few people actually learning to make the knots because the procedure was just too tedious for the average person.
		If your hobby is leatherwork or quilting or wood carving (or any craft where you want to transfer the knotwork patterns to your craft media) chances are that you will want to transfer just the outline to your project.
	www.clanbadge.com /knots.htm (2069 words)

	Knots on the Web (Peter Suber)
		Knotting instructions and illustrations courtesy of The Orvis Co.
		A Bibliography of Literature on Knots and Braids.
		Decorative knotting, some for sale, by a man who calls himself the world's best (which may or may be true), and who thinks of himself as alone in his art (which is fortunately false).
	www.earlham.edu /~peters/knotlink.htm (7098 words)

	PlanetMath: knot theory
		A knot diagram is a projection of a link onto a plane such that no more than two points of the link are projected to the same point on the plane and at each such point it is indicated which strand is closest to the plane (usually by erasing part of the lower strand).
		Knot theorists have accumulated a large number of knot invariants, values associated with a knot diagram which are unchanged when the diagram is modified by a Reidemeister move.
		Knot theorists also study ways in which a complex knot may be described in terms of simple pieces -- for example every knot is the connected sum of non trivial prime knots and many knots can be described simply using Conway notation.
	planetmath.org /encyclopedia/Knot.html (960 words)

	Knot - Wikipedia, the free encyclopedia
		Knots have been the subject of interest both for their ancient origins, common use, and the mathematical implications of knot theory.
		For example, loop knots share the attribute of having some kind of an anchor point constructed on the standing end (such as a loop or overhand knot) into which the working end is easily hitched to using a round turn.
		A knot that is used as part of a magic trick, a joke, or a puzzle.
	en.wikipedia.org /wiki/Knot (921 words)

	Knot (speed) - Wikipedia, the free encyclopedia
		A knot is a unit of speed, abbreviated kt or kn.
		Some sources suggest that knots placed at a distance of 47 feet 3 inches (14.4018 m) passed through a sailor's fingers, while another used a 28 second sandglass to time the operation.
		Although knots do not fit within the SI system their retention for nautical and aviation use is important for navigational reasons because the length of a nautical mile is almost identical to a minute of latitude.
	en.wikipedia.org /wiki/Knot_(speed) (555 words)

	Learn About Rugs - Attributes - Knot \| e Rug.com Handmade Carpets & Area Rugs
		Knot density is measured by counting the number of knots per linear inch or decimeter along the warp and weft (visible on the backside of the rug) and multiplying the two numbers.
		Knot density could be a factor in the value of a rug, but this is not always true.
		Rugs with higher knot density take a longer time to make, and since nomads migrate as the seasons change, if their rugs are not finished in time for migration, they will have to carry the looms with them.
	www.eruggallery.com /learnrugs/learn_detail/knot/lrn_knot.htm (837 words)

	knot - Search Results - MSN Encarta
		Knot (bird), genus of medium-sized birds of the sandpiper family.
		Knots are found in nearly every part of the world.
		Knots and Ropework, art of joining together pieces of such flexible material as rope, and of forming loops or designs in ropes, string, or fibers....
	encarta.msn.com /encnet/refpages/search.aspx?q=knot (145 words)

	KAP knots and hitches
		Knots and hitches are utilized for many purposes--joining two lines together, making a loop in a line, shortening lines, stopping lines, and attaching lines to anchors--posts, rings, cleats, etc. In fact, it is impossible to fly kites without the ability to tie a few basic knots.
		A knot or hitch has two characteristics in terms of its potential effectiveness--strength and slippage, both of which are important for deciding which knot to use for a given purpose.
		This compound knot combines the characteristics of the clove and half hitch into a knot that is quite strong and highly resistant to slippage.
	www.geospectra.net /kite/knots/knots.htm (1371 words)

	Mathematical knots (Site not responding. Last check: )
		Knot theory is a branch of algebraic topology where one studies what is known as the placement problem, or the embedding of one topological space into another.
		Thus a mathematical knot is somewhat different from the usual idea of a knot, that is, a piece of string with free ends.
		Knots that are equivalent to the unit circle are considered to be unknotted or trivial.
	knotplot.com /knot-theory (948 words)

	Tie Knots Online Test for Boy Scouts (Site not responding. Last check: )
		The Knotting knot forms a tight "ball" and is used for climbing long ropes.
		This is a Sheep Shank and is used to bypass a weak spot in a rope or to temporarily shorten the length of a rope.
		Knot tying is a requirement to advance in scouting, but it is also a valuable skill to have around home as well as outside or on the job.
	www.boyscouttrail.com /tests/knot_test2.asp (758 words)

	Mathematical knots (Site not responding. Last check: )
		Knot theory is a branch of algebraic topology where one studies what is known as the placement problem, or the embedding of one topological space into another.
		Thus a mathematical knot is somewhat different from the usual idea of a knot, that is, a piece of string with free ends.
		Knots that are equivalent to the unit circle are considered to be unknotted or trivial.
	www.cs.ubc.ca /nest/imager/contributions/scharein/knot-theory/knot-theory.html (928 words)

	Knot
		I believe this knot to be nearly as secure as the Barrel Knot, slightly bulkier, but much easier to untie.
		Another way of thinking about this knot, or rather the relationship between this one and Hunter's Bend, is that each is formed by taking one of the differing sides of a Lineman's Loop (Ashley 1043) and duplicating it symmetrically.
		If not sufficiently loose, the knot fails to capsize completely, and the intermediate form is not as strong as when completely capsized, which is according to Ashley "one of the strongest of bends".
	library.wustl.edu /~manynote/knot.html (1881 words)

	Knot Theory
		Knots whose ends were glued together and their classification form the subject of a branch of Topology known as the Knot Theory.
		However, it must be noted that the two knots are topologically equivalent in the sense that there exists a topological transformation that maps one into another.
		One is that with all the specialization of tools and interests due to the growth of the body Mathematics, this science is unified in that the basic strains permeate virtually every branch of Mathematics and this is a regular occurrence to detect links between distinct mathematical theories.
	www.cut-the-knot.org /do_you_know/knots.shtml (724 words)

	NEW KNOT TABLES
		After Redmeister [4], all knot tables that can be found in knot theory books are simple copies of the first: sometimes, some projection is slightly changed, or turned upside down, and that's all.
		A prime knot or link with singular digons, expressed by a Conway symbol, is called generating, and a knot or link without digons is called a basic polyhedron [14,16,17].
		Because the complete concept of new knot tables is based on the notion of generating knots and links and families originating from them, one of the possible future aims can be a search for new knot and link invariants that will be the invariants of families.
	members.tripod.com /vismath7/knotab (1879 words)

	Audubon WatchList - Red Knot
		Red Knot is one of the champion long-distance migrants of the bird world, with some individuals migrating from their high Arctic breeding grounds in North America to wintering grounds in extreme southern South America.
		In winter plumage, Red Knot is predominantly gray, with a gray head, breast, and upperparts, and a white belly.
		Red Knot is the most heavily concentrated of all shorebirds during migration, with 98% of spring migrants and 97% of fall migrants concentrating at important coastal migratory sites.
	audubon2.org /webapp/watchlist/viewSpecies.jsp?id=173 (1220 words)

	Roper's Knot Pages - Stoppers. Knots on the end of a rope (Site not responding. Last check: )
		Knots on the end of a rope or yarn.
		The overhand knot is not strong, so it is not used in situations where you might expect great force.
		The double overhand knot is also called the bloodknot when it is used at the end of a whip.
	www.realknots.com /knots/stoppers.htm (412 words)

	Knot refresher
		All members should be taught knots and be able to tie it with both gloved and ungloved hands under flout conditions.
		This knot makes two loops which tighten around wrists or legs and can be used to rescue a firefighter from a small narrow opening.
		This knot is formed from a "bight" of rope.
	www.cromwellfd.com /knots.htm (373 words)

	The KnotPlot Site (Site not responding. Last check: )
		Knots can be loaded from a database of almost 1000 knots and links or sketched by hand in three dimensions.
		Also, knots may be constructed via the Conway notation or using a tangle calculator.
		Finally, new knots can be created from old knots using a number of transformations.
	www.pims.math.ca /knotplot (384 words)

	Chinese Knotting: The Flower Knot
		This particular knot has many names and seems to be a sequential variation from a number of different families of knots.
		That is to say, as a general rule keep the part of the loop that leads from the already completed body of the knot aligned to the top of the knot and the part of the loop that is closer to the free working end aligned to the bottom of the knot.
		Also, you may find that you are tightening the knot too much, so that when it is time to adjust and fine tune the final structure of the knot (or take it apart because you made a mistake in design) that it is exceedingly difficult to do so.
	www.chineseknotting.org /flower (634 words)

	Untying the Gordian Knot
		Thus, the Gordian knot was most likely constructed by first splicing the two ends of a length of rope to form a loop, and then "tying" the loop up (i.e.
		Under those assumptions, if the Gordian knot were really an unkotted loop, then it would have been possible to untie it, i.e., to manipulate it so it was in the form of a simple loop that does not cross itself.
		Physicists are interested in knots because the latest theories of matter postulate that everything is made up of tightly coiled (and maybe knotted) loops of space-time, and biologists are interested in knots because the long, string-like molecules of DNA coil themselves up tightly to fit inside the cell.
	www.maa.org /devlin/devlin_9_01.html (928 words)

	Knot Theory
		Knot theory studies the placement of one-dimensional objects called strings [23,24,25] in a three-dimensional space.
		Figure 5.6: Planar diagrams of knots: (a) the trivial or unknot ; (b) figure-eight knot ; (c) left-handed trefoil ; (d) right-handed trefoil; (e) square knot ; (f) granny ; knot.
		A mathematician's knot is a non-self-intersecting smooth closed curve (a string) embedded in three-space.
	www.drchaos.net /drchaos/Book/node141.html (552 words)

	Knot Theory Online - The Web Site for Learning More about Mathematical Knot Theory
		Knots have some properties that depend only on the knot itself and not on how it is looking at any particular moment.
		The trefoil knot can be unknotted by changing only one crossing from under to over, so the trefoil knot has an unknotting number of 1 (try this to verify it).
		Once you understand the basics of what a knot is and how we tell if knots are the same, try the KT Activities Page or go straight on to Advanced KT for knot arithmetic, wild knots, and more.
	www.freelearning.com /knots/intro.htm (1095 words)

	Knots
		Knots are used to tie up a bundle with cord or to join the ends of a rope.
		This small website has excellent step-by-step instructions plus animations for tying a half-dozen knots that are used in boating: figure 8, bowline, cleat hitch, square, two round turns with 2 1/2 hitches, and the clove hitch knots.
		This is a collection of knots viewed from a (partly) mathematical perspective.
	www.42explore.com /knots.htm (465 words)

	Marine Knots
		The Surgeon's Knot is a modified form of the reef knot, and the extra turn taken in the first tie prevents slipping before the knot is completed.
		This knot is very useful for hoisting and towlines, and holds well without slipping or jamming.
		This knot is used at the end of a rope to temporarily prevent the strands from unlaying.
	www.lehighgroup.com /KNOTS.HTM (231 words)

	Square Knot Insignia
		This square knot is worn by those whom have earned a religious emblem or award as a youth member of the BSA or some other organization (Girl Scouting, YMCA, Salvation Army, etc.).
		The square knot is made up of white rope strands on a light blue background and fl border.
		Knot was previously used on Sea Explorer white uniforms to represent the Honor Medal.
	www.mninter.net /~blkeagle/recogn.htm (1413 words)

	Knot Theory Online - The Web Site for Learning More about Mathematical Knot Theory
		A Brief History of Knot Theory - From the mathematical surge of interest in knots a little over a century ago to the recent and exciting application of Knot Theory to DNA and synthetic chemistry, you can get an overview of why knots are such a fascination for scientists and mathematicians alike.
		Advanced Knot Theory Topics - Once you understand the concepts in the introduction to knots, this page expands your knowledge with connected sums, composite and prime knots, stick knots, wild knots, and even has a section on coloring knots and links and why coloring is such an important topic to mathematicians.
		We are especially interested in hearing from teachers who have used knots in the classroom and students who have been motivated to study knots either in the classroom or on their own.
	www.freelearning.com /knots (563 words)

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