763:
a third individual to pull both the rescuer and the casualty out of the ravine. Further application of knots includes developing a high line, which is similar to a zip line, and which can be used to move supplies, injured people, or the untrained across rivers, crevices, or ravines. Note the systems mentioned typically require carabiners and the use of multiple appropriate knots. These knots include the bowline, double figure eight, munter hitch, munter mule, prusik, autoblock, and clove hitch. Thus any individual who goes into a mountainous environment should have basic knowledge of knots and knot systems to increase safety and the ability to undertake activities such as rappelling.
984:
4203:
280:
648:
259:
660:
1780:, or other articles. The proper tying of a knot can be the difference between an attractive knot and a messy one, and occasionally life and death. It is important to understand the often subtle differences between what works, and what does not. For example, many knots "spill" or pull through, particularly if they are not "backed up," usually with a single or double overhand knot to make sure the end of the rope does not make its way through the main knot, causing all strength to be lost.
5273:
4022:
976:
288:
1701:
1151:
582:
327:
892:
1624:
306:
968:
4033:
170:
4045:
1762:
243:
1562:. When pulling on the standing ends the knot starts slipping and the working ends become crossed. By twisting the working ends so that they uncross and then recross in reverse, the knot's structure capsizes so that it will no longer slip. The twisting motion resembles the turning of a key, "locking" and "unlocking" the knot.
1026:. At anchor, the more anchor line that is payed out, the better the anchor's hold. In a storm, if the anchor drags, ships will pay out more and more anchor line until they reach the "bitter end." At this point, they can only hope the anchor holds, hence the expression "hanging on to the bitter end". (A
861:
The load creates tension that pulls the rope back through the knot in the direction of the load. If this continues far enough, the working end passes into the knot and the knot unravels and fails. This behavior can worsen when the knot is repeatedly strained and let slack, dragged over rough terrain,
762:
In hazardous environments such as mountains, knots are very important. In the event of someone falling into a ravine or a similar terrain feature, with the correct equipment and knowledge of knots a rappel system can be set up to lower a rescuer down to a casualty and set up a hauling system to allow
901:
To capsize (or spill) a knot is to change its form and rearrange its parts, usually by pulling on specific ends in certain ways. When used inappropriately, some knots tend to capsize easily or even spontaneously. Often the capsized form of the knot offers little resistance to slipping or unraveling.
934:
tied around a railing and pulled parallel to the railing might hold up to a certain tension, then start sliding. Sometimes this problem can be corrected by working-up the knot tighter before subjecting it to load, but usually the problem requires either a knot with more wraps or a rope of different
808:
ultimately lead to a reduction in strength. The exact mechanisms that cause the weakening and failure are complex and are the subject of continued study. Special fibers that show differences in color in response to strain are being developed and used to study stress as it relates to types of knots.
807:
Knots weaken the rope in which they are made. When knotted rope is strained to its breaking point, it almost always fails at the knot or close to it, unless it is defective or damaged elsewhere. The bending, crushing, and chafing forces that hold a knot in place also unevenly stress rope fibers and
1816:
The form of the material will influence the tying of a knot as well. Rope is round in cross-section, and has little dependence upon the manner in which the material is tied. Nylon webbing, on the other hand, is flat, and usually "tubular" in construction, meaning that it is spiral-woven, and has a
1651:
is a figure consisting of a single loop with any number of crossing or knotted elements: a closed curve in space which may be moved around so long as its strands never pass through each other. As a closed loop, a mathematical knot has no proper ends, and cannot be undone or untied; however, any
230:
denotes any multi-strand knot, including bends and loops. A knot may also refer, in the strictest sense, to a stopper or knob at the end of a rope to keep that end from slipping through a grommet or eye. Knots have excited interest since ancient times for their practical uses, as well as their
873:
Even with secure knots, slippage may occur when the knot is first put under real tension. This can be mitigated by leaving plenty of rope at the working end outside of the knot, and by dressing the knot cleanly and tightening it as much as possible before loading. Sometimes, the use of a
1808:, or nylon webbing). For example, cotton string may be very small and easy to tie with much internal friction to keep it from falling apart once tied, while stiff 5/8" thick kernmantle rope will be very difficult to tie, and may be so slick as to tend to come apart once tied.
1062:
The standing end is the longer end of the rope not involved in the knot, often shown as unfinished. It is often (but not always) the end of the rope under load after the knot is complete. For example, when a clove hitch ties a boat to a pier, the end going to the boat is the
1686:
A simple mathematical theory of hitches has been proposed by Bayman and extended by
Maddocks and Keller. It makes predictions that are approximately correct when tested empirically. No similarly successful theory has been developed for knots in general.
827:, the size of rope, whether it is wet or dry, how the knot is dressed before loading, how rapidly it is loaded, whether the knot is repeatedly loaded, and so on. The efficiency of common knots ranges between 40 and 80% of the rope's original strength.
1930:
The word knot has three distinct meanings in common use. In the broadest sense it applies to all complications in cordage, except accidental ones, such as snarls and kinks, and complications adapted for storage, such as coils, hanks, skeins, balls,
1817:
hollow core. In order to retain as much of the strength as possible with webbing, the material must be tied "flat" such that parallel sections do not cross, and that the sections of webbing are not twisted when they cross each other within a knot.
1964:
In its second sense it does not include bends, hitches, splices, and sinnets, and in its third and narrowest sense the term applies only to a knob tied in a rope to prevent unreeving, to provide a handhold, or (in small material only) to prevent
819:, is the breaking strength of a knotted rope in proportion to the breaking strength of the rope without the knot. Determining a precise value for a particular knot is difficult because many factors can affect a knot efficiency test: the type of
1864:
is known to strip slime from its skin by tying itself into a simple overhand knot, and moving its body to make the knot travel toward the tail. It also uses this action in reverse (tail to head) to pry out flesh after biting into a carcass.
1021:
As a ropeworker's term, "bitter end" refers to the end of a rope that is tied off. In
British nautical usage, the bitter end is the ship end of the anchor cable, secured by the anchor bitts and the bitter pin in the cable locker under the
1395:
for tying a loop in the end of a rope, as around one's waist or to secure a ring or grommet. The knot is also used as an anchor knot and is used in many knot systems that are used in mountainous terrain such as a highline or hauling
929:
In knots that are meant to grip other objects, failure can be defined as the knot moving relative to the gripped object. While the knot itself is not untied, it ceases to perform the desired function. For instance, a simple
882:
can prevent the working end from passing through the knot; but if a knot is observed to slip, it is generally preferable to use a more secure knot. Life-critical applications often require backup knots to maximize safety.
634:
There is a large variety of knots, each with properties that make it suitable for a range of tasks. Some knots are used to attach the rope (or other knotting material) to other objects such as another rope,
1547:. They are useful for these purposes because they have a deceptive appearance, being easier or more difficult to tie or untie than their appearance would suggest. The easiest trick knot is the
1844:, many other tools are used in the tying of "knots." However, for cordage and other non-metallic appliances, the tools used are generally limited to sharp edges or blades such as a
5180:
794:, crochets, weaves or felting. Macramé can produce self-supporting three-dimensional textile structures, as well as flat work, and is often used ornamentally or decoratively.
850:
Even if the rope does not break, a knot may still fail to hold. Knots that hold firm under a variety of adverse conditions are said to be more secure than those that do not.
46:
667:
While some people can look at diagrams or photos and tie the illustrated knots, others learn best by watching how a knot is tied. Knot tying skills are often transmitted by
1652:
physical knot in a piece of string can be thought of as a mathematical knot by fusing the two ends. A configuration of several knots winding around each other is called a
842:
of a rope is generally specified with a significant safety factor, up to 15:1 for critical applications. For life-threatening applications, other factors come into play.
1594:
It is still found today in some whippings and wrappings of small diameter line on boat tillers and ships' wheels to enhance the grip, or to identify rudder amidships.
4421:
2202:
431:
is a decorative handicraft art that began as a form of
Chinese folk art in the Tang and Song Dynasty (960–1279 AD) in China, later popularized in the Ming.
1316:
A knot tied with a hitch around one of its parts. In contrast, a loop is closed with a bend. While a slip knot can be closed, a loop remains the same size.
4202:
1845:
5212:
1828:
or the end from which the hauling will be done must have the greater radius of curvature in the finished knot to maximize the strength of the knot.
1852:, a hot cutter for nylon and other synthetic fibers, and (for larger ropes) a shoe for smoothing out large knots by rolling them on the ground.
639:, ring, or stake. Some knots are used to bind or constrict objects. Decorative knots usually bind to themselves to produce attractive patterns.
5207:
4381:
4082:
4361:
173:
1849:
2233:
2616:
Knots, ties and splices; a handbook for seafarers, travellers, and all who use cordage; with historical, heraldic, and practical notes
2586:
Knots, a study of marlinespike seamanship which embraces bends, hitches, ties, fastenings and splices and their practical application
1360:
A knot formed by interweaving strands of rope rather than whole lines. More time-consuming but usually stronger than simple knots.
3643:
2129:
5311:
4992:
3921:
2185:
1505:
for securing a rope to a pole when the pull is lengthwise rather than outward, or to tie one rope to the middle of another
5152:
1487:
for tying a rope to a pole – simple and will not jam, but not particularly secure and will not work on rectangular shapes
838:
in the strength of rope chosen for a task due to the weakening effects of knots, aging, damage, shock loading, etc. The
5166:
5064:
1647:
analysis of knots, their structure and properties, and with the relationships between different knots. In topology, a
943:
Knots differ in the effort required to untie them after loading. Knots that are very difficult to untie, such as the
4075:
3952:
2541:
2526:
2511:
2496:
2481:
2466:
2451:
2436:
2421:
2402:
2387:
2346:
1889:
1748:
1190:
712:
621:
410:
1730:
1558:. The starkly differing behavior of the knot, depending on how it is arranged, has been exploited as the basis of a
4516:
391:
2124:, K&E Series on Knots and Everything, vol. 11, Singapore: World Scientific Publishing, pp. 181–203,
1976:
Anthropological Papers of the
American Museum of Natural History. Material culture of the Blackfoot Indians. 1910.
4651:
2713:
1665:
1120:
The active end of a line used in making the knot. May also be called the "running end", "live end", or "tag end".
363:
1987:
5227:
5197:
4637:
2012:
1726:
1672:(a simple loop), showing that one cannot be moved into the other (without strands passing through each other).
1172:
603:
348:
17:
1591:
The general purpose was to dress-up, protect, or help identify specific items and parts of ships and boats.
1511:(or Midshipman's hitch) for forming an adjustable (ratcheting) loop that does not slip smaller under tension
370:
5277:
5090:
4752:
4602:
4571:
4466:
4413:
4328:
4227:
4068:
3915:
3833:
3400:
3082:
1656:. Various mathematical techniques are used to classify and distinguish knots and links. For instance, the
5384:
4036:
2120:
Warner, Charles (1996), "Studies on the
Behaviour of Knots", in Turner, J.C.; van de Griend, P. (eds.),
1824:
loses strength when strands are crossed while the knot is being "finished" and tightened. Moreover, the
5364:
4269:
4254:
3282:
2916:
2826:
2317:
Maddocks, J.H. and Keller, J. B., "Ropes in
Equilibrium," SIAM J Appl. Math., 47 (1987), pp. 1185–1200.
983:
834:, even though the latter can maintain nearly the rope's full strength. Prudent users allow for a large
459:
377:
5419:
4609:
4170:
198:
which may be practical or decorative, or both. Practical knots are classified by function, including
830:
In most situations forming loops and bends with conventional knots is far more practical than using
5304:
5202:
4623:
3906:
3785:
3395:
3153:
3052:
2753:
2378:
2033:
1820:
The crossing of strands is important when dealing with round rope in other knots; for example, the
1765:
1711:
994:
184:
159:
149:
135:
121:
111:
101:
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81:
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61:
1796:
knot. Tying knots correctly requires an understanding of the type of material being tied (string,
1032:
is a metal block with a crosspin for tying lines to, also found on piers.) Also, the working end.
272:
4926:
4616:
4259:
4140:
3843:
3603:
2871:
1715:
1161:
592:
483:
359:
337:
5217:
5058:
4954:
4335:
4049:
3019:
1402:
for making bundles or cinching the neck of a sack, though this knot jams and may need to be cut
735:
from being buried under rock. Many knots can also be used as makeshift tools, for example, the
5116:
1274:
A complex knot exhibiting repeating patterns often constructed around and enhancing an object.
1207:
is extensive, but common properties allow for a useful system of categorization. For example,
5098:
5072:
4920:
4899:
4741:
4658:
4486:
4441:
4367:
4318:
4125:
3901:
3848:
3430:
3385:
3310:
2941:
2673:
2651:
2413:
1722:
1386:
1168:
599:
344:
39:
2004:
5023:
4894:
4775:
4388:
3795:
3767:
3608:
3445:
3252:
2921:
2561:
2157:
2073:
1657:
728:
704:
561:
1328:
rather than the end, for ease of untying. The common shoelace knot is an example, being a
909:
Sometimes a knot is intentionally capsized as a method of tying another knot, as with the
8:
5297:
5248:
5173:
4912:
4543:
4162:
4091:
3947:
3911:
3838:
3648:
3365:
3302:
3247:
3206:
3201:
3196:
3191:
3166:
3077:
2901:
2831:
2706:
2633:
1598:
1445:
921:, are generally tied in one form then capsized to obtain a stronger or more stable form.
526:
522:
511:
471:
447:
279:
263:
199:
117:
97:
87:
4564:
2565:
2161:
2077:
1319:
1217:(such as a loop or overhand knot) into which the working end is easily hitched, using a
790:, one kind of textile, is generated exclusively through the use of knotting, instead of
5369:
5253:
5110:
4940:
4736:
4726:
4579:
4451:
4306:
3981:
3896:
3663:
3638:
3515:
3465:
3460:
3390:
3171:
3042:
2896:
2778:
2610:
2099:
1648:
1565:
1520:
1011:
is any curved section, slack part, or loop between the ends of a rope, string, or yarn.
824:
724:
207:
203:
178:
51:
35:
4446:
4974:
4948:
4830:
4491:
3708:
3563:
3490:
3410:
3072:
3067:
2974:
2911:
2906:
2856:
2806:
2639:
2590:
2584:
2537:
2522:
2507:
2492:
2477:
2462:
2447:
2432:
2417:
2398:
2383:
2125:
2103:
2091:
2064:
1821:
1801:
1602:
1405:
1229:
knots often rely on friction to cinch down tight on loose bundles; an example is the
839:
521:
The eleven main knots of
Chinese knotting are the four-flower knot, six-flower knot,
467:
131:
4962:
4505:
2227:
1660:
associates certain numbers with any given knot; these numbers are different for the
1213:
knots share the attribute of having some kind of an anchor point constructed on the
5394:
5354:
5124:
4815:
4765:
4711:
4666:
4595:
4395:
4175:
3937:
3800:
3683:
3548:
3538:
3350:
3330:
3227:
3117:
3062:
2989:
2984:
2964:
2959:
2861:
2796:
2791:
2569:
2327:
2289:
2278:"Differences of Alexander polynomials for knots caused by a single crossing change"
2165:
2081:
2058:
Patil, Vishal P.; Sandt, Joseph D.; Kolle, Mathias; Dunkel, Jörn (3 January 2020).
1874:
1793:
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1532:
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1417:
1399:
1230:
835:
636:
515:
428:
309:
155:
4820:
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4631:
647:
384:
258:
5258:
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4875:
4790:
4770:
4721:
4311:
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4192:
4130:
3828:
3757:
3713:
3658:
3505:
3425:
3345:
3186:
2786:
2661:
2655:
2620:
2598:
2373:
1805:
1606:
1508:
1453:
1269:
553:
534:
499:
5289:
4780:
2294:
2277:
2189:
692:
5460:
5389:
5379:
5374:
5349:
5344:
4825:
4800:
4746:
4731:
4687:
4558:
4550:
4431:
4150:
4025:
3810:
3673:
3628:
3593:
3583:
3573:
3543:
3360:
3087:
3057:
3047:
2801:
2699:
2614:
2574:
2549:
2170:
2145:
1490:
1253:
1243:
863:
659:
546:
542:
463:
2643:
2594:
1836:
Tools are sometimes employed in the finishing or untying of a knot, such as a
1436:
for joining the ends of a piece of cordage wrapped around an object or objects
5454:
5399:
5243:
5222:
5159:
5011:
4805:
4716:
4537:
4497:
4481:
4402:
4374:
4242:
4232:
4157:
4145:
3986:
3820:
3805:
3731:
3688:
3678:
3633:
3618:
3495:
3450:
3325:
3257:
3102:
3032:
2999:
2931:
2886:
2748:
2222:
1894:
1840:, a tapered piece of wood that is often used in splicing. With the advent of
1789:
1777:
1772:
Knot tying consists of the techniques and skills employed in tying a knot in
1632:
1502:
1496:
1371:
1355:
1204:
1140:
952:
931:
831:
779:
771:
748:
491:
487:
211:
127:
2624:
2602:
2086:
2059:
5339:
5035:
4934:
4785:
4696:
4691:
4589:
4510:
4426:
4345:
4249:
4222:
4187:
4120:
3942:
3777:
3721:
3668:
3613:
3588:
3578:
3568:
3520:
3510:
3470:
3440:
3435:
3420:
3380:
3340:
3335:
3277:
3267:
3237:
3176:
3138:
3112:
3092:
3009:
2979:
2954:
2876:
2851:
2846:
2836:
2821:
2733:
2665:
2095:
1884:
1879:
1825:
1661:
1628:
1559:
1514:
1433:
1363:
1349:
1325:
1285:
1242:
A knot uniting two lines (for knots joining two ends of the same line, see
1214:
1008:
918:
875:
740:
538:
530:
503:
439:
267:
251:
67:
5084:
4857:
4795:
4706:
4701:
4301:
4264:
3790:
3752:
3598:
3558:
3530:
3500:
3475:
3455:
3405:
3370:
3315:
3181:
3161:
3107:
2969:
2891:
2743:
2738:
2677:
1644:
1618:
1585:
1536:
1517:
for securing or hauling long narrow loads, with the pull in one direction
1484:
1478:
1293:
1247:
1209:
1089:
971:
A: open loop, B: closed loop, C: turn, D: round turn, E: two round turns.
879:
479:
451:
432:
236:
107:
77:
31:
2237:. Vol. 15 (11th ed.). Cambridge University Press. p. 871.
5439:
5334:
5326:
4905:
4810:
4760:
4340:
4135:
3742:
3623:
3485:
3480:
3415:
3355:
3320:
3287:
3272:
3242:
3232:
3143:
3004:
2926:
2881:
2841:
2816:
1555:
1465:
1442:
for joining the ends of two ropes, which need not be the same diameter
1439:
1411:
1277:
1218:
1175: in this section. Unsourced material may be challenged and removed.
1023:
944:
910:
853:
The following sections describe the main ways that knots fail to hold.
778:, the frayed end of a rope is held together by a type of knot called a
766:
Knots can be applied in combination to produce complex objects such as
732:
606: in this section. Unsourced material may be challenged and removed.
565:
557:
507:
475:
351: in this section. Unsourced material may be challenged and removed.
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3957:
975:
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3653:
3375:
3262:
3037:
3027:
2994:
2866:
2811:
1841:
1548:
1429:
1340:
A knot used to hold two lines or two parts of the same line together.
1329:
1310:
1237:
903:
700:
696:
680:
495:
455:
145:
141:
1700:
1389:
for a secure loop in the middle of a rope when the ends are not free
1150:
1052:
Two crossing points created by an extra twist in a loop or a circle.
581:
326:
5409:
5404:
4682:
4284:
4182:
4110:
3976:
3963:
3762:
3292:
2949:
1640:
867:
791:
775:
744:
708:
688:
676:
672:
652:
291:
232:
1568:, used as a trick knot due to the speed with which it can be made.
5429:
5359:
4584:
4323:
4237:
4115:
3991:
3970:
3553:
3217:
3127:
1861:
1788:
The tying of a knot may be very straightforward (such as with an
1623:
1581:
1392:
1335:
1261:
1222:
967:
914:
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5181:
Viewpoints: Mathematical
Perspective and Fractal Geometry in Art
891:
169:
5434:
4289:
3998:
1992:. New York and London: D. Appleton and Company. pp. 12–14.
1669:
1544:
1423:
1343:
1104:
is the complete encirclement of an object; requires two passes.
1077:
Section of line between knot and the standing end (seen above).
752:
684:
294:
2506:. Produced for Propsero Books by RPC Publishing Ltd., London.
4274:
3097:
1899:
1761:
1301:
1028:
820:
715:
is an organization dedicated to the promotion of knot tying.
247:
242:
1348:
A number of lines interwoven in a complex pattern. See also
951:. Knots that come untied with less difficulty, such as the
427:
have been used and studied throughout history. For example,
5424:
4279:
2226:
1797:
1773:
1540:
1448:
for tying the ends of two dissimilarly sized ropes together
756:
298:
195:
45:
3747:
1837:
1456:
used to hoist crewmen aloft or suspend them over the side
1376:
A binding knot used to prevent another line from fraying.
1307:
A number of lines interwoven in a simple regular pattern.
1258:
A knot that restricts object(s) by making multiple winds.
2691:
1468:
for tying a knot in flat material such as nylon webbing
235:
intricacy, studied in the area of mathematics known as
1493:
for tying a rope to a pole or other shape, but can jam
2308:
Bayman, "Theory of hitches," Am J Phys, 45 (1977) 185
2057:
1042:
A curve narrower than a bight but with separate ends.
1848:, occasionally a fine needle for proper whipping of
1675:
1414:
for tying belts together, though insecure with ropes
2632:Dana, Homer Jackson; Pearl, William Armour (1922).
2550:"Revision of Commonly Used Loop Knots Efficiencies"
2146:"Revision of Commonly Used Loop Knots Efficiencies"
1481:(or anchor hitch) for tying a rope to a boat anchor
906:, when misused as a bend, can capsize dangerously.
5078:The Drawing of Geometric Patterns in Saracenic Art
862:or repeatedly struck against hard objects such as
5319:
5213:Goudreau Museum of Mathematics in Art and Science
2395:The Ultimate Encyclopedia of Knots & Ropework
1130:Section of line between knot and the working end.
5452:
3870:
2547:
2532:J. C. Turner and P. van de Griend (ed.) (1996).
2427:Paul Hasluck with foreword by Des Pawson (2018)
2178:
2143:
1298:A knot used to create a closed circle in a line.
1110:circles the object twice; requires three passes.
2461:. Cornell Maritime Press/Tidewater Publishers.
2031:
1462:for hoisting heavy loads and tightening rigging
27:Method of fastening or securing linear material
2521:. International Marine/McGraw-Hill Companies.
2446:. International Marine/McGraw-Hill Companies.
2275:
2188:. Animated Knots by Grog. 2010. Archived from
2025:
1768:is considered the definitive work on the topic
1233:. Knots may belong to more than one category.
723:Truckers in need of securing a load may use a
222:fastens two ends of a rope to each another; a
5305:
5208:European Society for Mathematics and the Arts
4382:Mathematica: A World of Numbers... and Beyond
4076:
2707:
1290:A knot used to hold (usually) poles together.
49:
4362:List of works designed with the golden ratio
2249:Self-Working Rope Magic: 70 Foolproof Tricks
2060:"Topological Mechanics of Knots and Tangles"
2005:"Knot Break Strength vs Rope Break Strength"
1792:), or it may be more complicated, such as a
1282:A knot tied to a post, cable, ring, or spar.
2115:
2113:
1996:
1729:. Unsourced material may be challenged and
1535:knots are knots that are used as part of a
435:is the recent mathematical study of knots.
5312:
5298:
4083:
4069:
2714:
2700:
1368:A knot tied to hold a line through a hole.
4422:Cathedral of Saint Mary of the Assumption
2638:. Pullman, WA: Washington State College.
2631:
2573:
2548:Šimon, J.; Dekýš, V.; Palček, P. (2020).
2293:
2276:Nakanishi, Yasutaka; Okada, Yuki (2012).
2254:
2217:
2215:
2169:
2144:Šimon, J.; Dekýš, V.; Palček, P. (2020).
2085:
2032:Greenfieldboyce, Nell (January 2, 2020).
1749:Learn how and when to remove this message
1191:Learn how and when to remove this message
622:Learn how and when to remove this message
411:Learn how and when to remove this message
2582:
2221:
2110:
2002:
1760:
1622:
1324:Some knots may be finished by passing a
982:
974:
966:
890:
658:
646:
552:Knots of more recent origin include the
304:
286:
278:
257:
241:
168:
44:
4968:Vier BĂĽcher von Menschlicher Proportion
4090:
2672:
2657:Knotting and splicing ropes and cordage
2650:
2609:
1266:Knots used to tie up lines for storage.
250:from the Inca Empire, currently in the
14:
5453:
3644:Rigid double splayed loop in the bight
2431:Endless Mountains Publishing Company.
2344:
2260:
2212:
2119:
1957:
1942:
1923:
1580:is a decorative knotwork performed by
751:was widely used to tie packages on to
739:can be used as a rescue loop, and the
5293:
4064:
3869:
2766:
2695:
2619:. London: George Routledge and sons.
1985:
1432:(square knot), a common but insecure
1380:
713:The International Guild of Knot Tyers
4044:
2051:
1727:adding citations to reliable sources
1694:
1173:adding citations to reliable sources
1144:
604:adding citations to reliable sources
575:
438:Knots of ancient origin include the
349:adding citations to reliable sources
320:
218:fastens a rope to another object; a
5153:Journal of Mathematics and the Arts
4032:
2504:Pocket Guide to Knots & Splices
1962:, New York: Doubleday, p. 12,
1928:, New York: Doubleday, p. 12,
1551:. Other noted trick knots include:
34:. For the mathematical object, see
24:
5167:Making Mathematics with Needlework
2491:. National Speleological Society.
2367:
2265:, New York: Doubleday, p. 415
1134:
979:#34 Cross #35 Elbow #36 Round turn
194:is an intentional complication in
25:
5472:
4993:I quattro libri dell'architettura
3953:International Guild of Knot Tyers
2687:
1947:, New York: Doubleday, p. 12
1890:International Guild of Knot Tyers
1855:
1676:Physical theory of friction knots
1597:Knots used in coxcombing include
564:originates from the beginning of
226:is any knot creating a loop; and
5272:
5271:
4517:Self-portrait in a Convex Mirror
4201:
4043:
4031:
4021:
4020:
2519:The Complete Rigger's Apprentice
2247:Karl Fulves, Joseph K. Schmidt,
1699:
1631:is a mathematical version of an
1420:used to weight the end of a rope
1149:
1071:
938:
580:
325:
2487:Allen Padgett and Bruce Smith.
2338:
2320:
2311:
2302:
2269:
2241:
2137:
1160:needs additional citations for
1124:
1056:
718:
663:Sailor bag with different knots
591:needs additional citations for
560:originates from 1627 while the
336:needs additional citations for
5228:National Museum of Mathematics
4980:Regole generali d'architettura
2682:. Norman W. Henley Publishing.
2013:National Speleological Society
2011:(50). Vertical Section of the
1979:
1970:
1951:
1936:
1917:
1612:
1527:
1114:
987:#27 End #29 Bight #28 Standing
13:
1:
5320:Seamanship (seafaring) topics
2660:. Philadelphia: David McKay.
2345:Waters, Hannah (2012-10-17).
2282:Topology and Its Applications
1986:Sharp, John MacLaren (1915).
1905:
1783:
1690:
1572:
1097:is a curve with crossed legs.
1015:
962:
797:
4753:Garden of Cosmic Speculation
3834:Overhand knot with draw-loop
2679:Knots, Splices and Rope Work
2583:Aldridge, Arthur F. (1918).
2534:History and Science of Knots
2397:. Annes Publishing Limited.
2347:"14 Fun Facts About Hagfish"
2261:Ashley, Clifford W. (1944),
2122:History and Science of Knots
1958:Ashley, Clifford W. (1944),
1943:Ashley, Clifford W. (1944),
1924:Ashley, Clifford W. (1944),
1910:
1221:. An example of this is the
886:
786:use knots to repair damage.
301:around wooden ceiling posts.
7:
5385:Ship-to-ship cargo transfer
2767:
2635:The use of ropes and tackle
2295:10.1016/j.topol.2011.11.023
1868:
1811:
1639:Knot theory is a branch of
856:
845:
802:
651:Sailors learning knots and
642:
10:
5477:
4270:Islamic geometric patterns
3718:Running highwayman's hitch
2575:10.12693/APhysPolA.138.404
2393:Geoffrey Budworth (1999).
2171:10.12693/APhysPolA.138.404
1679:
1616:
1472:
1138:
992:
947:, are said to "jam" or be
924:
917:. Some knots, such as the
316:
283:Gordian Knot statue (1990)
29:
5420:Man overboard rescue turn
5325:
5267:
5236:
5190:
5144:
5091:A Mathematician's Apology
5051:
5004:
4887:
4850:
4843:
4675:
4528:
4474:
4465:
4412:
4354:
4210:
4199:
4098:
4015:
3930:
3889:
3885:
3865:
3819:
3776:
3730:
3697:
3529:
3301:
3216:
3152:
3126:
3018:
2940:
2777:
2773:
2762:
2729:
2721:
2589:. New York City: Rudder.
2034:"A Knotty Problem Solved"
1989:Practical Electric Wiring
1523:for clinching down a load
1499:for packing trail animals
655:in the early 20th century
556:of Chinese knotting. The
5203:The Bridges Organization
3053:Directional figure eight
2754:List of knot terminology
2379:The Ashley Book of Knots
2263:The Ashley Book of Knots
2186:"Knot & Rope Safety"
1960:The Ashley Book of Knots
1945:The Ashley Book of Knots
1926:The Ashley Book of Knots
1831:
1766:The Ashley Book of Knots
1046:
1001:
995:List of knot terminology
5065:The Grammar of Ornament
5017:Nature's Harmonic Unity
4927:De prospectiva pingendi
2554:Acta Physica Polonica A
2429:The Art of Tying Knots.
2410:The Klutz Book of Knots
2382:. Doubleday, New York.
2234:Encyclopædia Britannica
2150:Acta Physica Polonica A
2087:10.1126/science.aaz0135
2003:Richards, Dave (2005).
1332:with both ends slipped.
1081:
1036:
484:one-sided overhand bend
460:double fisherman's knot
252:Larco Museum Collection
5218:Institute For Figuring
5130:The 'Life' of a Carpet
4955:A Treatise on Painting
2674:Verrill, Alpheus Hyatt
2652:Hasluck, Paul Nooncree
2476:. Algrove Publishing.
2474:All The Knots You Need
2332:www.lightandmatter.com
2328:"The physics of knots"
2209:. Accessed April 2016.
2203:Knot & Rope Safety
1769:
1636:
988:
980:
972:
955:, are referred to as "
935:diameter or material.
898:
664:
656:
571:
527:double connection knot
313:
302:
284:
276:
255:
187:
166:
50:
38:. For other uses, see
5099:George David Birkhoff
5073:Ernest Hanbury Hankin
4941:De divina proportione
4921:Piero della Francesca
4900:Leon Battista Alberti
4487:Piero della Francesca
4126:Hyperboloid structure
3386:Double overhand noose
3192:Ghiordes & Senneh
2414:Palo Alto, California
2408:John Cassidy (1985).
2038:All Things Considered
1764:
1626:
1387:Alpine butterfly knot
1139:Further information:
993:Further information:
986:
978:
970:
894:
662:
650:
308:
290:
282:
273:Jean-Simon Berthélemy
261:
245:
172:
98:Matthew Walker's knot
48:
40:Knot (disambiguation)
5024:Frederik Macody Lund
4895:Filippo Brunelleschi
4776:Hamid Naderi Yeganeh
4638:La condition humaine
2536:. World Scientific.
2351:Smithsonian Magazine
1723:improve this section
1658:Alexander polynomial
1643:. It deals with the
1426:for ascending a rope
1169:improve this article
729:mechanical advantage
693:rescue professionals
600:improve this article
562:Western Union splice
345:improve this article
132:Figure-of-eight knot
5249:Mathematical beauty
5174:Rhythm of Structure
5117:Gödel, Escher, Bach
4913:De re aedificatoria
4544:The Ancient of Days
4163:Projective geometry
4092:Mathematics and art
3209:(triple crown knot)
3078:Figure-of-nine loop
2566:2020AcPPA.138..404S
2502:Des Pawson (2001).
2444:Knots & Splices
2162:2020AcPPA.138..404S
2078:2020Sci...367...71P
878:or, even better, a
523:Chinese button knot
185:Elbe 1 (ship, 1965)
88:Wall and crown knot
5370:Naval architecture
5254:Patterns in nature
5111:Douglas Hofstadter
4737:Desmond Paul Henry
4727:Bathsheba Grossman
4659:The Swallow's Tail
4580:Giorgio de Chirico
4452:Sydney Opera House
4307:Croatian interlace
3639:Portuguese bowline
3396:Farrimond friction
3283:Triple fisherman's
3043:Bowline on a bight
2917:Triple fisherman's
2897:Simple Simon under
2872:One-sided overhand
2827:Double fisherman's
2374:Clifford W. Ashley
1770:
1637:
1381:Basic useful knots
989:
981:
973:
911:"lightning method"
899:
840:working load limit
665:
657:
314:
303:
285:
277:
256:
188:
167:
52:Nordisk familjebok
36:Knot (mathematics)
5448:
5447:
5287:
5286:
5140:
5139:
5104:Aesthetic Measure
4975:Sebastiano Serlio
4949:Leonardo da Vinci
4839:
4838:
4831:Margaret Wertheim
4492:Leonardo da Vinci
4058:
4057:
4011:
4010:
4007:
4006:
3861:
3860:
3857:
3856:
3564:Carrick bend loop
3073:Figure-eight loop
2975:Ground-line hitch
2459:Handbook of Knots
2207:AnimatedKnots.com
2131:978-981-02-2469-1
1822:figure-eight loop
1802:monofilament line
1759:
1758:
1751:
1666:figure-eight knot
1446:Double sheet bend
1406:Figure-eight knot
1201:
1200:
1193:
731:. Knots can save
632:
631:
624:
468:figure-eight knot
421:
420:
413:
395:
16:(Redirected from
5468:
5395:Passage planning
5355:Maritime studies
5314:
5307:
5300:
5291:
5290:
5275:
5274:
5125:Nikos Salingaros
4848:
4847:
4816:Hiroshi Sugimoto
4766:Robert Longhurst
4712:Helaman Ferguson
4667:Crockett Johnson
4596:Circle Limit III
4565:Danseuse au café
4472:
4471:
4442:Pyramid of Khufu
4205:
4085:
4078:
4071:
4062:
4061:
4048:
4047:
4046:
4035:
4034:
4024:
4023:
3938:Chinese knotting
3907:Decorative knots
3887:
3886:
3867:
3866:
3786:Ashley's stopper
3684:Yosemite bowline
3549:Bale sling hitch
3118:Yosemite bowline
3048:Alpine butterfly
2802:Alpine butterfly
2792:Albright special
2775:
2774:
2764:
2763:
2716:
2709:
2702:
2693:
2692:
2683:
2669:
2647:
2628:
2606:
2579:
2577:
2457:Raoul Graumont.
2361:
2360:
2358:
2357:
2342:
2336:
2335:
2324:
2318:
2315:
2309:
2306:
2300:
2299:
2297:
2288:(4): 1016–1025.
2273:
2267:
2266:
2258:
2252:
2251:(1990), page 17.
2245:
2239:
2238:
2230:
2219:
2210:
2200:
2198:
2197:
2192:on April 7, 2015
2182:
2176:
2175:
2173:
2141:
2135:
2134:
2117:
2108:
2107:
2089:
2055:
2049:
2048:
2046:
2044:
2029:
2023:
2022:
2020:
2019:
2000:
1994:
1993:
1983:
1977:
1974:
1968:
1967:
1955:
1949:
1948:
1940:
1934:
1933:
1921:
1880:Chinese knotting
1875:Circuit topology
1846:sheepsfoot blade
1754:
1747:
1743:
1740:
1734:
1703:
1695:
1682:Capstan equation
1599:Turk's head knot
1400:Constrictor knot
1196:
1189:
1185:
1182:
1176:
1153:
1145:
782:. Many types of
743:can be used for
627:
620:
616:
613:
607:
584:
576:
531:double coin knot
516:two half-hitches
512:Turk's head knot
472:fisherman's knot
429:Chinese knotting
416:
409:
405:
402:
396:
394:
353:
329:
321:
312:"Teton" tipi tie
246:An example of a
182:
156:Two half-hitches
118:Turk's head knot
55:
30:For speeds, see
21:
5476:
5475:
5471:
5470:
5469:
5467:
5466:
5465:
5451:
5450:
5449:
5444:
5321:
5318:
5288:
5283:
5263:
5259:Sacred geometry
5232:
5198:Ars Mathematica
5186:
5136:
5047:
5000:
4987:Andrea Palladio
4883:
4876:De architectura
4835:
4791:Antoine Pevsner
4771:Jeanette McLeod
4722:Susan Goldstine
4671:
4530:
4524:
4461:
4447:Sagrada FamĂlia
4408:
4350:
4218:Algorithmic art
4206:
4197:
4193:Wallpaper group
4131:Minimal surface
4094:
4089:
4059:
4054:
4042:
4003:
3926:
3881:
3880:
3853:
3815:
3796:Double overhand
3772:
3735:
3726:
3714:Running bowline
3700:
3693:
3659:Spanish bowline
3609:Friendship knot
3604:Fireman's chair
3525:
3446:Improved clinch
3311:Adjustable grip
3297:
3253:Improved clinch
3219:
3212:
3148:
3131:
3122:
3014:
2936:
2769:
2758:
2725:
2720:
2690:
2611:Burgess, J. Tom
2412:. Klutz Press,
2370:
2368:General sources
2365:
2364:
2355:
2353:
2343:
2339:
2326:
2325:
2321:
2316:
2312:
2307:
2303:
2274:
2270:
2259:
2255:
2246:
2242:
2220:
2213:
2195:
2193:
2184:
2183:
2179:
2142:
2138:
2132:
2118:
2111:
2072:(6473): 71–75.
2056:
2052:
2042:
2040:
2030:
2026:
2017:
2015:
2001:
1997:
1984:
1980:
1975:
1971:
1956:
1952:
1941:
1937:
1922:
1918:
1913:
1908:
1871:
1858:
1834:
1814:
1806:kernmantle rope
1786:
1755:
1744:
1738:
1735:
1720:
1704:
1693:
1684:
1678:
1621:
1615:
1607:French whipping
1575:
1566:Tom fool's knot
1530:
1521:Trucker's hitch
1509:Taut-line hitch
1475:
1454:Spanish bowline
1383:
1270:Decorative knot
1197:
1186:
1180:
1177:
1166:
1154:
1143:
1137:
1135:Knot categories
1127:
1117:
1108:Two round turns
1084:
1074:
1059:
1049:
1039:
1018:
1004:
997:
965:
941:
927:
889:
859:
848:
817:knot efficiency
805:
800:
725:trucker's hitch
721:
645:
628:
617:
611:
608:
597:
585:
574:
558:sheepshank knot
554:friendship knot
537:, square knot,
500:running bowline
417:
406:
400:
397:
354:
352:
342:
330:
319:
176:
165:
43:
28:
23:
22:
15:
12:
11:
5:
5474:
5464:
5463:
5446:
5445:
5443:
5442:
5437:
5432:
5427:
5422:
5417:
5412:
5407:
5402:
5397:
5392:
5390:Propeller walk
5387:
5382:
5377:
5375:Ship stability
5372:
5367:
5365:Nautical terms
5362:
5357:
5352:
5347:
5345:Ice navigation
5342:
5337:
5331:
5329:
5323:
5322:
5317:
5316:
5309:
5302:
5294:
5285:
5284:
5282:
5281:
5268:
5265:
5264:
5262:
5261:
5256:
5251:
5246:
5240:
5238:
5234:
5233:
5231:
5230:
5225:
5220:
5215:
5210:
5205:
5200:
5194:
5192:
5188:
5187:
5185:
5184:
5177:
5170:
5163:
5156:
5148:
5146:
5142:
5141:
5138:
5137:
5135:
5134:
5133:
5132:
5122:
5121:
5120:
5108:
5107:
5106:
5096:
5095:
5094:
5082:
5081:
5080:
5070:
5069:
5068:
5055:
5053:
5049:
5048:
5046:
5045:
5044:
5043:
5041:The Greek Vase
5033:
5032:
5031:
5021:
5020:
5019:
5008:
5006:
5002:
5001:
4999:
4998:
4997:
4996:
4984:
4983:
4982:
4972:
4971:
4970:
4963:Albrecht DĂĽrer
4960:
4959:
4958:
4946:
4945:
4944:
4932:
4931:
4930:
4918:
4917:
4916:
4909:
4897:
4891:
4889:
4885:
4884:
4882:
4881:
4880:
4879:
4867:
4866:
4865:
4854:
4852:
4845:
4841:
4840:
4837:
4836:
4834:
4833:
4828:
4826:Roman Verostko
4823:
4818:
4813:
4808:
4803:
4801:Alba Rojo Cama
4798:
4793:
4788:
4783:
4778:
4773:
4768:
4763:
4758:
4757:
4756:
4747:Charles Jencks
4744:
4739:
4734:
4732:George W. Hart
4729:
4724:
4719:
4714:
4709:
4704:
4699:
4694:
4685:
4679:
4677:
4673:
4672:
4670:
4669:
4664:
4663:
4662:
4655:
4643:
4642:
4641:
4629:
4628:
4627:
4620:
4613:
4606:
4599:
4587:
4582:
4577:
4576:
4575:
4568:
4559:Jean Metzinger
4556:
4555:
4554:
4547:
4534:
4532:
4526:
4525:
4523:
4522:
4521:
4520:
4508:
4506:Albrecht DĂĽrer
4503:
4502:
4501:
4489:
4484:
4478:
4476:
4469:
4463:
4462:
4460:
4459:
4454:
4449:
4444:
4439:
4434:
4429:
4424:
4418:
4416:
4410:
4409:
4407:
4406:
4399:
4392:
4385:
4378:
4371:
4364:
4358:
4356:
4352:
4351:
4349:
4348:
4343:
4338:
4333:
4332:
4331:
4321:
4316:
4315:
4314:
4309:
4304:
4294:
4293:
4292:
4287:
4282:
4277:
4267:
4262:
4257:
4252:
4247:
4246:
4245:
4240:
4235:
4225:
4223:Anamorphic art
4220:
4214:
4212:
4208:
4207:
4200:
4198:
4196:
4195:
4190:
4185:
4180:
4179:
4178:
4173:
4165:
4160:
4155:
4154:
4153:
4151:Camera obscura
4148:
4138:
4133:
4128:
4123:
4118:
4113:
4108:
4102:
4100:
4096:
4095:
4088:
4087:
4080:
4073:
4065:
4056:
4055:
4053:
4052:
4039:
4028:
4016:
4013:
4012:
4009:
4008:
4005:
4004:
4002:
4001:
3996:
3995:
3994:
3989:
3984:
3974:
3967:
3960:
3955:
3950:
3945:
3940:
3934:
3932:
3931:Related topics
3928:
3927:
3925:
3924:
3919:
3909:
3904:
3899:
3893:
3891:
3890:Lists of knots
3883:
3882:
3879:
3878:
3877:Related topics
3875:
3874:Lists of knots
3871:
3863:
3862:
3859:
3858:
3855:
3854:
3852:
3851:
3846:
3841:
3836:
3831:
3825:
3823:
3817:
3816:
3814:
3813:
3808:
3803:
3798:
3793:
3788:
3782:
3780:
3774:
3773:
3771:
3770:
3765:
3760:
3755:
3750:
3745:
3739:
3737:
3728:
3727:
3725:
3724:
3719:
3716:
3711:
3705:
3703:
3695:
3694:
3692:
3691:
3686:
3681:
3676:
3674:Triple bowline
3671:
3666:
3661:
3656:
3651:
3649:Slippery eight
3646:
3641:
3636:
3631:
3626:
3621:
3616:
3611:
3606:
3601:
3596:
3594:Eskimo bowline
3591:
3586:
3584:Double bowline
3581:
3576:
3574:Cowboy bowline
3571:
3566:
3561:
3556:
3551:
3546:
3544:Artillery loop
3541:
3535:
3533:
3527:
3526:
3524:
3523:
3518:
3513:
3508:
3503:
3498:
3493:
3488:
3483:
3478:
3473:
3468:
3463:
3458:
3453:
3448:
3443:
3438:
3433:
3428:
3423:
3418:
3413:
3408:
3403:
3401:Friction hitch
3398:
3393:
3388:
3383:
3378:
3373:
3368:
3363:
3358:
3353:
3348:
3343:
3338:
3333:
3328:
3323:
3318:
3313:
3307:
3305:
3299:
3298:
3296:
3295:
3290:
3285:
3280:
3275:
3270:
3265:
3260:
3255:
3250:
3245:
3240:
3235:
3230:
3224:
3222:
3214:
3213:
3211:
3210:
3207:Wall and crown
3204:
3199:
3197:Matthew Walker
3194:
3189:
3184:
3179:
3174:
3169:
3167:Chinese button
3164:
3158:
3156:
3150:
3149:
3147:
3146:
3141:
3135:
3133:
3124:
3123:
3121:
3120:
3115:
3110:
3105:
3100:
3095:
3090:
3085:
3083:Friction hitch
3080:
3075:
3070:
3065:
3060:
3058:Double bowline
3055:
3050:
3045:
3040:
3035:
3030:
3024:
3022:
3016:
3015:
3013:
3012:
3007:
3002:
2997:
2992:
2987:
2982:
2977:
2972:
2967:
2962:
2957:
2952:
2946:
2944:
2938:
2937:
2935:
2934:
2929:
2924:
2919:
2914:
2912:Surgeon's loop
2909:
2904:
2902:Single carrick
2899:
2894:
2889:
2884:
2879:
2874:
2869:
2864:
2859:
2854:
2849:
2844:
2839:
2834:
2829:
2824:
2819:
2814:
2809:
2804:
2799:
2794:
2789:
2783:
2781:
2771:
2770:
2760:
2759:
2757:
2756:
2751:
2746:
2741:
2736:
2730:
2727:
2726:
2719:
2718:
2711:
2704:
2696:
2689:
2688:External links
2686:
2685:
2684:
2670:
2648:
2629:
2607:
2580:
2560:(3): 404–420.
2545:
2530:
2515:
2500:
2485:
2470:
2455:
2442:Cyrus L. Day.
2440:
2425:
2406:
2391:
2369:
2366:
2363:
2362:
2337:
2319:
2310:
2301:
2268:
2253:
2240:
2225:, ed. (1911).
2223:Chisholm, Hugh
2211:
2177:
2156:(3): 404–420.
2136:
2130:
2109:
2050:
2024:
1995:
1978:
1969:
1950:
1935:
1915:
1914:
1912:
1909:
1907:
1904:
1903:
1902:
1897:
1892:
1887:
1882:
1877:
1870:
1867:
1857:
1856:Use by animals
1854:
1833:
1830:
1813:
1810:
1785:
1782:
1757:
1756:
1707:
1705:
1698:
1692:
1689:
1677:
1674:
1617:Main article:
1614:
1611:
1609:, and others.
1574:
1571:
1570:
1569:
1563:
1529:
1526:
1525:
1524:
1518:
1512:
1506:
1500:
1494:
1491:Buntline hitch
1488:
1482:
1474:
1471:
1470:
1469:
1463:
1457:
1451:
1450:
1449:
1437:
1427:
1421:
1415:
1409:
1403:
1397:
1390:
1382:
1379:
1378:
1377:
1374:
1369:
1366:
1361:
1358:
1353:
1346:
1341:
1338:
1333:
1322:
1317:
1314:
1308:
1305:
1299:
1296:
1291:
1288:
1283:
1280:
1275:
1272:
1267:
1264:
1259:
1256:
1251:
1240:
1199:
1198:
1157:
1155:
1148:
1136:
1133:
1132:
1131:
1126:
1123:
1122:
1121:
1116:
1113:
1112:
1111:
1105:
1098:
1083:
1080:
1079:
1078:
1073:
1070:
1069:
1068:
1058:
1055:
1054:
1053:
1048:
1045:
1044:
1043:
1038:
1035:
1034:
1033:
1017:
1014:
1013:
1012:
1003:
1000:
999:
998:
964:
961:
940:
937:
926:
923:
888:
885:
858:
855:
847:
844:
815:, also called
804:
801:
799:
796:
720:
717:
644:
641:
630:
629:
588:
586:
579:
573:
570:
547:good luck knot
543:Pan Chang knot
464:eskimo bowline
419:
418:
333:
331:
324:
318:
315:
164:
163:
153:
139:
125:
115:
105:
95:
85:
75:
65:
57:
26:
18:Capsize (knot)
9:
6:
4:
3:
2:
5473:
5462:
5459:
5458:
5456:
5441:
5438:
5436:
5433:
5431:
5428:
5426:
5423:
5421:
5418:
5416:
5413:
5411:
5408:
5406:
5403:
5401:
5398:
5396:
5393:
5391:
5388:
5386:
5383:
5381:
5380:Hydrodynamics
5378:
5376:
5373:
5371:
5368:
5366:
5363:
5361:
5358:
5356:
5353:
5351:
5348:
5346:
5343:
5341:
5338:
5336:
5333:
5332:
5330:
5328:
5324:
5315:
5310:
5308:
5303:
5301:
5296:
5295:
5292:
5280:
5279:
5270:
5269:
5266:
5260:
5257:
5255:
5252:
5250:
5247:
5245:
5244:Droste effect
5242:
5241:
5239:
5235:
5229:
5226:
5224:
5223:Mathemalchemy
5221:
5219:
5216:
5214:
5211:
5209:
5206:
5204:
5201:
5199:
5196:
5195:
5193:
5191:Organizations
5189:
5183:
5182:
5178:
5176:
5175:
5171:
5169:
5168:
5164:
5162:
5161:
5160:Lumen Naturae
5157:
5155:
5154:
5150:
5149:
5147:
5143:
5131:
5128:
5127:
5126:
5123:
5119:
5118:
5114:
5113:
5112:
5109:
5105:
5102:
5101:
5100:
5097:
5093:
5092:
5088:
5087:
5086:
5083:
5079:
5076:
5075:
5074:
5071:
5067:
5066:
5062:
5061:
5060:
5057:
5056:
5054:
5050:
5042:
5039:
5038:
5037:
5034:
5030:
5027:
5026:
5025:
5022:
5018:
5015:
5014:
5013:
5012:Samuel Colman
5010:
5009:
5007:
5003:
4995:
4994:
4990:
4989:
4988:
4985:
4981:
4978:
4977:
4976:
4973:
4969:
4966:
4965:
4964:
4961:
4957:
4956:
4952:
4951:
4950:
4947:
4943:
4942:
4938:
4937:
4936:
4933:
4929:
4928:
4924:
4923:
4922:
4919:
4915:
4914:
4910:
4908:
4907:
4903:
4902:
4901:
4898:
4896:
4893:
4892:
4890:
4886:
4878:
4877:
4873:
4872:
4871:
4868:
4864:
4861:
4860:
4859:
4856:
4855:
4853:
4849:
4846:
4842:
4832:
4829:
4827:
4824:
4822:
4821:Daina Taimiņa
4819:
4817:
4814:
4812:
4809:
4807:
4806:Reza Sarhangi
4804:
4802:
4799:
4797:
4794:
4792:
4789:
4787:
4784:
4782:
4779:
4777:
4774:
4772:
4769:
4767:
4764:
4762:
4759:
4755:
4754:
4750:
4749:
4748:
4745:
4743:
4740:
4738:
4735:
4733:
4730:
4728:
4725:
4723:
4720:
4718:
4717:Peter Forakis
4715:
4713:
4710:
4708:
4705:
4703:
4700:
4698:
4695:
4693:
4689:
4686:
4684:
4681:
4680:
4678:
4674:
4668:
4665:
4661:
4660:
4656:
4654:
4653:
4649:
4648:
4647:
4646:Salvador DalĂ
4644:
4640:
4639:
4635:
4634:
4633:
4632:René Magritte
4630:
4626:
4625:
4621:
4619:
4618:
4614:
4612:
4611:
4607:
4605:
4604:
4603:Print Gallery
4600:
4598:
4597:
4593:
4592:
4591:
4588:
4586:
4583:
4581:
4578:
4574:
4573:
4572:L'Oiseau bleu
4569:
4567:
4566:
4562:
4561:
4560:
4557:
4553:
4552:
4548:
4546:
4545:
4541:
4540:
4539:
4538:William Blake
4536:
4535:
4533:
4527:
4519:
4518:
4514:
4513:
4512:
4509:
4507:
4504:
4500:
4499:
4498:Vitruvian Man
4495:
4494:
4493:
4490:
4488:
4485:
4483:
4482:Paolo Uccello
4480:
4479:
4477:
4473:
4470:
4468:
4464:
4458:
4455:
4453:
4450:
4448:
4445:
4443:
4440:
4438:
4435:
4433:
4430:
4428:
4425:
4423:
4420:
4419:
4417:
4415:
4411:
4405:
4404:
4403:Pi in the Sky
4400:
4398:
4397:
4393:
4391:
4390:
4386:
4384:
4383:
4379:
4377:
4376:
4375:Mathemalchemy
4372:
4370:
4369:
4365:
4363:
4360:
4359:
4357:
4353:
4347:
4344:
4342:
4339:
4337:
4334:
4330:
4327:
4326:
4325:
4322:
4320:
4317:
4313:
4310:
4308:
4305:
4303:
4300:
4299:
4298:
4295:
4291:
4288:
4286:
4283:
4281:
4278:
4276:
4273:
4272:
4271:
4268:
4266:
4263:
4261:
4258:
4256:
4253:
4251:
4248:
4244:
4243:Vastu shastra
4241:
4239:
4236:
4234:
4233:Geodesic dome
4231:
4230:
4229:
4226:
4224:
4221:
4219:
4216:
4215:
4213:
4209:
4204:
4194:
4191:
4189:
4186:
4184:
4181:
4177:
4174:
4172:
4169:
4168:
4166:
4164:
4161:
4159:
4158:Plastic ratio
4156:
4152:
4149:
4147:
4146:Camera lucida
4144:
4143:
4142:
4139:
4137:
4134:
4132:
4129:
4127:
4124:
4122:
4119:
4117:
4114:
4112:
4109:
4107:
4104:
4103:
4101:
4097:
4093:
4086:
4081:
4079:
4074:
4072:
4067:
4066:
4063:
4051:
4040:
4038:
4029:
4027:
4018:
4017:
4014:
4000:
3997:
3993:
3990:
3988:
3985:
3983:
3980:
3979:
3978:
3975:
3973:
3972:
3968:
3966:
3965:
3961:
3959:
3956:
3954:
3951:
3949:
3946:
3944:
3941:
3939:
3936:
3935:
3933:
3929:
3923:
3920:
3917:
3913:
3910:
3908:
3905:
3903:
3900:
3898:
3895:
3894:
3892:
3888:
3884:
3876:
3873:
3872:
3868:
3864:
3850:
3847:
3845:
3842:
3840:
3837:
3835:
3832:
3830:
3827:
3826:
3824:
3822:
3818:
3812:
3809:
3807:
3804:
3802:
3801:Monkey's fist
3799:
3797:
3794:
3792:
3789:
3787:
3784:
3783:
3781:
3779:
3775:
3769:
3768:Western Union
3766:
3764:
3761:
3759:
3756:
3754:
3751:
3749:
3746:
3744:
3741:
3740:
3738:
3733:
3729:
3723:
3720:
3717:
3715:
3712:
3710:
3707:
3706:
3704:
3702:
3696:
3690:
3687:
3685:
3682:
3680:
3679:Water bowline
3677:
3675:
3672:
3670:
3667:
3665:
3662:
3660:
3657:
3655:
3652:
3650:
3647:
3645:
3642:
3640:
3637:
3635:
3632:
3630:
3627:
3625:
3622:
3620:
3617:
3615:
3612:
3610:
3607:
3605:
3602:
3600:
3597:
3595:
3592:
3590:
3587:
3585:
3582:
3580:
3577:
3575:
3572:
3570:
3567:
3565:
3562:
3560:
3557:
3555:
3552:
3550:
3547:
3545:
3542:
3540:
3537:
3536:
3534:
3532:
3528:
3522:
3519:
3517:
3514:
3512:
3509:
3507:
3504:
3502:
3499:
3497:
3494:
3492:
3489:
3487:
3484:
3482:
3479:
3477:
3474:
3472:
3469:
3467:
3464:
3462:
3459:
3457:
3454:
3452:
3449:
3447:
3444:
3442:
3439:
3437:
3434:
3432:
3429:
3427:
3424:
3422:
3419:
3417:
3414:
3412:
3409:
3407:
3404:
3402:
3399:
3397:
3394:
3392:
3389:
3387:
3384:
3382:
3379:
3377:
3374:
3372:
3369:
3367:
3364:
3362:
3359:
3357:
3354:
3352:
3349:
3347:
3344:
3342:
3339:
3337:
3334:
3332:
3329:
3327:
3324:
3322:
3319:
3317:
3314:
3312:
3309:
3308:
3306:
3304:
3300:
3294:
3291:
3289:
3286:
3284:
3281:
3279:
3276:
3274:
3271:
3269:
3266:
3264:
3261:
3259:
3256:
3254:
3251:
3249:
3246:
3244:
3241:
3239:
3236:
3234:
3231:
3229:
3228:Angler's loop
3226:
3225:
3223:
3221:
3218:Fishing
3215:
3208:
3205:
3203:
3200:
3198:
3195:
3193:
3190:
3188:
3185:
3183:
3180:
3178:
3175:
3173:
3172:Celtic button
3170:
3168:
3165:
3163:
3160:
3159:
3157:
3155:
3151:
3145:
3142:
3140:
3137:
3136:
3134:
3129:
3125:
3119:
3116:
3114:
3111:
3109:
3106:
3104:
3103:Overhand loop
3101:
3099:
3096:
3094:
3091:
3089:
3086:
3084:
3081:
3079:
3076:
3074:
3071:
3069:
3066:
3064:
3063:Farmer's loop
3061:
3059:
3056:
3054:
3051:
3049:
3046:
3044:
3041:
3039:
3036:
3034:
3031:
3029:
3026:
3025:
3023:
3021:
3017:
3011:
3008:
3006:
3003:
3001:
2998:
2996:
2993:
2991:
2988:
2986:
2983:
2981:
2978:
2976:
2973:
2971:
2968:
2966:
2963:
2961:
2958:
2956:
2953:
2951:
2948:
2947:
2945:
2943:
2939:
2933:
2930:
2928:
2925:
2923:
2920:
2918:
2915:
2913:
2910:
2908:
2905:
2903:
2900:
2898:
2895:
2893:
2890:
2888:
2885:
2883:
2880:
2878:
2875:
2873:
2870:
2868:
2865:
2863:
2860:
2858:
2855:
2853:
2850:
2848:
2845:
2843:
2840:
2838:
2835:
2833:
2830:
2828:
2825:
2823:
2820:
2818:
2815:
2813:
2810:
2808:
2805:
2803:
2800:
2798:
2795:
2793:
2790:
2788:
2785:
2784:
2782:
2780:
2776:
2772:
2765:
2761:
2755:
2752:
2750:
2749:List of knots
2747:
2745:
2742:
2740:
2737:
2735:
2732:
2731:
2728:
2724:
2717:
2712:
2710:
2705:
2703:
2698:
2697:
2694:
2681:
2680:
2675:
2671:
2667:
2663:
2659:
2658:
2653:
2649:
2645:
2641:
2637:
2636:
2630:
2626:
2622:
2618:
2617:
2612:
2608:
2604:
2600:
2596:
2592:
2588:
2587:
2581:
2576:
2571:
2567:
2563:
2559:
2555:
2551:
2546:
2543:
2542:981-02-2469-9
2539:
2535:
2531:
2528:
2527:0-07-064840-9
2524:
2520:
2516:
2513:
2512:1-55267-218-2
2509:
2505:
2501:
2498:
2497:0-9615093-2-5
2494:
2490:
2486:
2483:
2482:0-921335-47-4
2479:
2475:
2471:
2468:
2467:0-87033-030-6
2464:
2460:
2456:
2453:
2452:0-87742-252-4
2449:
2445:
2441:
2438:
2437:0-998852-73-2
2434:
2430:
2426:
2423:
2422:0-932592-10-4
2419:
2415:
2411:
2407:
2404:
2403:1-55267-986-1
2400:
2396:
2392:
2389:
2388:0-385-04025-3
2385:
2381:
2380:
2375:
2372:
2371:
2352:
2348:
2341:
2333:
2329:
2323:
2314:
2305:
2296:
2291:
2287:
2283:
2279:
2272:
2264:
2257:
2250:
2244:
2236:
2235:
2229:
2224:
2218:
2216:
2208:
2204:
2191:
2187:
2181:
2172:
2167:
2163:
2159:
2155:
2151:
2147:
2140:
2133:
2127:
2123:
2116:
2114:
2105:
2101:
2097:
2093:
2088:
2083:
2079:
2075:
2071:
2067:
2066:
2061:
2054:
2039:
2035:
2028:
2014:
2010:
2009:Nylon Highway
2006:
1999:
1991:
1990:
1982:
1973:
1966:
1961:
1954:
1946:
1939:
1932:
1927:
1920:
1916:
1901:
1898:
1896:
1895:List of knots
1893:
1891:
1888:
1886:
1883:
1881:
1878:
1876:
1873:
1872:
1866:
1863:
1853:
1851:
1847:
1843:
1839:
1829:
1827:
1823:
1818:
1809:
1807:
1803:
1799:
1795:
1794:monkey's fist
1791:
1790:overhand knot
1781:
1779:
1778:nylon webbing
1775:
1767:
1763:
1753:
1750:
1742:
1732:
1728:
1724:
1718:
1717:
1713:
1708:This section
1706:
1702:
1697:
1696:
1688:
1683:
1673:
1671:
1667:
1663:
1659:
1655:
1650:
1646:
1642:
1634:
1633:overhand knot
1630:
1625:
1620:
1610:
1608:
1604:
1600:
1595:
1592:
1589:
1587:
1583:
1579:
1567:
1564:
1561:
1557:
1554:
1553:
1552:
1550:
1546:
1542:
1538:
1534:
1522:
1519:
1516:
1513:
1510:
1507:
1504:
1503:Rolling hitch
1501:
1498:
1497:Diamond hitch
1495:
1492:
1489:
1486:
1483:
1480:
1477:
1476:
1467:
1464:
1461:
1458:
1455:
1452:
1447:
1444:
1443:
1441:
1438:
1435:
1431:
1428:
1425:
1422:
1419:
1418:Monkey's fist
1416:
1413:
1410:
1407:
1404:
1401:
1398:
1394:
1391:
1388:
1385:
1384:
1375:
1373:
1370:
1367:
1365:
1362:
1359:
1357:
1354:
1351:
1347:
1345:
1342:
1339:
1337:
1334:
1331:
1327:
1323:
1321:
1318:
1315:
1312:
1309:
1306:
1303:
1300:
1297:
1295:
1292:
1289:
1287:
1284:
1281:
1279:
1276:
1273:
1271:
1268:
1265:
1263:
1260:
1257:
1255:
1252:
1249:
1245:
1244:binding knots
1241:
1239:
1236:
1235:
1234:
1232:
1231:Miller's knot
1228:
1224:
1220:
1216:
1212:
1211:
1206:
1205:list of knots
1195:
1192:
1184:
1174:
1170:
1164:
1163:
1158:This section
1156:
1152:
1147:
1146:
1142:
1141:List of knots
1129:
1128:
1119:
1118:
1109:
1106:
1103:
1099:
1096:
1092:
1091:
1086:
1085:
1076:
1075:
1072:Standing part
1066:
1061:
1060:
1051:
1050:
1041:
1040:
1031:
1030:
1025:
1020:
1019:
1010:
1006:
1005:
996:
991:
990:
985:
977:
969:
960:
958:
954:
953:Zeppelin bend
950:
949:jamming knots
946:
939:Releasability
936:
933:
932:rolling hitch
922:
920:
916:
912:
907:
905:
897:
893:
884:
881:
877:
871:
869:
865:
854:
851:
843:
841:
837:
836:safety margin
833:
828:
826:
825:style of rope
822:
818:
814:
813:knot strength
809:
795:
793:
789:
785:
781:
780:whipping knot
777:
773:
769:
764:
760:
758:
754:
750:
749:diamond hitch
746:
742:
738:
734:
730:
726:
716:
714:
710:
706:
702:
698:
694:
690:
686:
682:
678:
674:
670:
661:
654:
649:
640:
638:
626:
623:
615:
605:
601:
595:
594:
589:This section
587:
583:
578:
577:
569:
567:
563:
559:
555:
550:
548:
544:
540:
536:
532:
528:
524:
519:
517:
513:
509:
505:
501:
497:
493:
492:overhand loop
489:
488:overhand knot
485:
481:
477:
473:
469:
465:
461:
457:
453:
449:
445:
441:
436:
434:
430:
426:
415:
412:
404:
401:December 2020
393:
390:
386:
383:
379:
376:
372:
369:
365:
362: –
361:
357:
356:Find sources:
350:
346:
340:
339:
334:This section
332:
328:
323:
322:
311:
307:
300:
296:
293:
289:
281:
274:
270:
269:
265:
260:
253:
249:
244:
240:
238:
234:
229:
225:
221:
217:
213:
209:
205:
201:
197:
193:
186:
180:
175:
171:
161:
157:
154:
151:
147:
143:
140:
137:
133:
129:
128:Overhand knot
126:
123:
119:
116:
113:
109:
106:
103:
99:
96:
93:
89:
86:
83:
79:
76:
73:
69:
66:
63:
59:
58:
54:
53:
47:
41:
37:
33:
19:
5414:
5400:Maritime law
5340:Watchkeeping
5276:
5179:
5172:
5165:
5158:
5151:
5145:Publications
5129:
5115:
5103:
5089:
5077:
5063:
5040:
5036:Jay Hambidge
5029:Ad Quadratum
5028:
5016:
4991:
4979:
4967:
4953:
4939:
4935:Luca Pacioli
4925:
4911:
4904:
4874:
4862:
4786:Hinke Osinga
4781:István Orosz
4751:
4742:Anthony Hill
4697:Scott Draves
4692:Erik Demaine
4676:Contemporary
4657:
4650:
4636:
4622:
4615:
4608:
4601:
4594:
4590:M. C. Escher
4570:
4563:
4549:
4542:
4515:
4511:Parmigianino
4496:
4427:Hagia Sophia
4401:
4394:
4387:
4380:
4373:
4366:
4296:
4250:Computer art
4228:Architecture
4188:Tessellation
4171:Architecture
4121:Golden ratio
3969:
3962:
3922:Mathematical
3849:West Country
3614:Halter hitch
3589:Dropper loop
3466:Marlinespike
3461:Lobster buoy
3436:Hitching tie
3431:Highwayman's
3238:Bimini twist
3139:Chain sinnet
3113:Trident loop
3093:Munter hitch
3068:Figure-eight
2955:Bottle sling
2922:True lover's
2857:Heaving line
2807:Basket weave
2722:
2678:
2656:
2634:
2615:
2585:
2557:
2553:
2533:
2518:
2517:Brion Toss.
2503:
2488:
2473:
2458:
2443:
2428:
2409:
2394:
2377:
2354:. Retrieved
2350:
2340:
2331:
2322:
2313:
2304:
2285:
2281:
2271:
2262:
2256:
2248:
2243:
2232:
2228:"Knot"
2206:
2194:. Retrieved
2190:the original
2180:
2153:
2149:
2139:
2121:
2069:
2063:
2053:
2041:. Retrieved
2037:
2027:
2016:. Retrieved
2008:
1998:
1988:
1981:
1972:
1963:
1959:
1953:
1944:
1938:
1929:
1925:
1919:
1885:Gordian Knot
1859:
1835:
1826:standing end
1819:
1815:
1787:
1771:
1745:
1739:January 2011
1736:
1721:Please help
1709:
1685:
1662:trefoil knot
1653:
1645:mathematical
1638:
1629:trefoil knot
1596:
1593:
1590:
1577:
1576:
1560:parlor trick
1531:
1515:Timber hitch
1434:binding knot
1408:as a stopper
1350:Chain sinnet
1313:(or running)
1227:Constricting
1226:
1215:standing end
1208:
1202:
1187:
1178:
1167:Please help
1162:verification
1159:
1125:Working part
1107:
1101:
1094:
1088:
1065:standing end
1064:
1057:Standing end
1027:
956:
948:
942:
928:
919:carrick bend
908:
900:
876:stopper knot
872:
860:
852:
849:
832:rope splices
829:
816:
812:
810:
806:
765:
761:
741:munter hitch
722:
719:Applications
666:
633:
618:
609:
598:Please help
593:verification
590:
551:
539:Plafond knot
520:
504:single hitch
440:bottle sling
437:
424:
422:
407:
398:
388:
381:
374:
367:
355:
343:Please help
338:verification
335:
268:Gordian Knot
262:
227:
223:
219:
215:
191:
189:
124:#1278-#1397)
68:Manrope knot
5405:Dry-docking
5085:G. H. Hardy
4888:Renaissance
4858:Polykleitos
4796:Tony Robbin
4707:John Ernest
4702:Jan Dibbets
4652:Crucifixion
4475:Renaissance
4329:Mathematics
4302:Celtic knot
4265:Fractal art
4167:Proportion
4141:Perspective
4037:WikiProject
3844:Sailmaker's
3753:Marlinspike
3411:Ground-line
3316:Anchor bend
3248:Fisherman's
3202:Turk's head
3162:Carrick mat
2965:Corned beef
2960:Constrictor
2832:Fisherman's
1619:Knot theory
1613:Knot theory
1586:Age of Sail
1584:during the
1537:magic trick
1528:Trick knots
1485:Clove hitch
1479:Anchor bend
1460:Versatackle
1115:Working end
1095:single turn
957:non-jamming
913:of tying a
880:backup knot
533:, agemaki,
480:kalmyk loop
452:clove hitch
433:Knot theory
275:(1743–1812)
237:knot theory
233:topological
177: [
146:Square knot
138:#514, #520)
108:Shroud knot
94:#670, #671)
78:Granny knot
60:Yarn knot (
32:Knot (unit)
5440:Sea anchor
5335:Navigation
5327:Seamanship
5059:Owen Jones
4906:De pictura
4811:Oliver Sin
4761:Andy Lomas
4610:Relativity
4341:String art
4255:Fiber arts
4136:Paraboloid
3839:Portuguese
3664:Tom fool's
3391:Falconer's
3331:Bale sling
3187:Friendship
3154:Decorative
3144:Sheepshank
2787:Adjustable
2644:1158196429
2595:1047502131
2472:R.S. Lee.
2356:2023-03-18
2196:2010-09-14
2018:2010-10-11
1906:References
1784:Difficulty
1691:Knot tying
1680:See also:
1668:, and the
1578:Coxcombing
1573:Coxcombing
1556:Grief knot
1466:Water knot
1440:Sheet bend
1412:Grass bend
1304:(or braid)
1219:round turn
1102:round turn
1024:forecastle
1016:Bitter end
963:Components
945:water knot
798:Properties
733:spelunkers
727:, gaining
697:stagehands
566:telegraphy
545:, and the
535:cross knot
508:thief knot
476:half hitch
423:Knots and
371:newspapers
208:loop knots
174:Knot board
5435:Anchoring
4870:Vitruvius
4844:Theorists
4624:Waterfall
4529:19th–20th
4457:Taj Mahal
4437:Parthenon
4414:Buildings
4368:Continuum
4336:Sculpture
4312:Interlace
4106:Algorithm
3811:Stevedore
3709:Hangman's
3629:Jury mast
3516:Trucker's
3506:Taut-line
3426:Highpoint
3366:Cat's paw
3346:Blackwall
3220:(angling)
3088:Klemheist
3028:Autoblock
2907:Surgeon's
2625:24176273M
2603:18970340M
2104:209677605
2043:3 January
1911:Citations
1850:laid rope
1842:wire rope
1710:does not
1549:slip knot
1430:Reef knot
1330:reef knot
1262:Coil knot
1181:July 2011
904:reef knot
887:Capsizing
868:flagpoles
811:Relative
701:fishermen
689:arborists
681:canyoners
612:July 2011
496:reef knot
456:cow hitch
448:cat's paw
310:Blackfoot
266:cuts the
264:Alexander
224:loop knot
142:Reef knot
5455:Category
5410:Ropework
5350:Pilotage
5278:Category
5005:Romantic
4683:Max Bill
4617:Reptiles
4432:Pantheon
4389:Octacube
4355:Artworks
4297:Knotting
4285:Muqarnas
4183:Symmetry
4111:Catenary
4099:Concepts
4026:Category
3987:Splicing
3977:Ropework
3964:Mizuhiki
3916:friction
3902:Bindings
3821:Whipping
3806:Overhand
3758:Rat-tail
3736:splicing
3689:Zeppelin
3634:Overhand
3619:Handcuff
3539:Angler's
3491:Sailor's
3361:Buntline
3326:Bachmann
3258:Knotless
3033:Bachmann
3020:Climbing
3000:Strangle
2990:Packer's
2985:Miller's
2932:Zeppelin
2887:Shoelace
2862:Hunter's
2797:Ashley's
2676:(1917).
2666:6954703M
2654:(1907).
2613:(1884).
2096:31896713
1965:fraying.
1869:See also
1812:Material
1641:topology
1372:Whipping
857:Slipping
846:Security
803:Strength
784:textiles
776:ropework
768:lanyards
745:belaying
709:surgeons
677:climbers
653:ropework
643:Teaching
425:knotting
292:Magimagi
5430:Mooring
5425:Buoyage
5360:Sailing
5237:Related
4851:Ancient
4585:Man Ray
4531:Century
4467:Artists
4324:Origami
4238:Pyramid
4116:Fractal
4050:Commons
3992:Seizing
3982:Lashing
3971:Norigae
3958:Macramé
3948:History
3943:Density
3914: (
3912:Hitches
3778:Stopper
3732:Splices
3722:Tarbuck
3699:Running
3669:Trident
3579:Diamond
3569:Cossack
3554:Bowline
3496:Snuggle
3451:Killick
3351:Blake's
3303:Hitches
3278:Trilene
3268:Palomar
3177:Diamond
3010:Transom
2980:Jamming
2942:Binding
2877:Racking
2852:Harness
2847:Halyard
2837:Flemish
2822:Carrick
2768:By type
2562:Bibcode
2489:On Rope
2158:Bibcode
2074:Bibcode
2065:Science
1862:hagfish
1731:removed
1716:sources
1603:Flemish
1582:sailors
1543:, or a
1473:Hitches
1396:system.
1393:Bowline
1364:Stopper
1336:Seizing
1320:Slipped
1286:Lashing
1254:Binding
1223:bowline
925:Sliding
915:bowline
896:Bowline
788:Macramé
772:netting
753:donkeys
737:bowline
705:linemen
669:sailors
444:bowline
385:scholar
317:History
212:splices
200:hitches
196:cordage
56:knots:
5052:Modern
4688:Martin
4551:Newton
4346:Tiling
4290:Zellij
4260:4D art
4041:
4030:
4019:
3999:Sennit
3829:Common
3791:Button
3701:(slip)
3599:Fiador
3559:Bumper
3521:Tumble
3511:Timber
3471:Munter
3441:Icicle
3421:Halter
3381:Distel
3341:Becket
3336:Barrel
3182:Fiador
3132:shanks
3108:Prusik
2970:Granny
2892:Shroud
2664:
2642:
2623:
2601:
2593:
2540:
2525:
2510:
2495:
2480:
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