Carrick mat

Carrick mat
Carrick mat made with three passes
Names	Carrick mat, Prolong knot
Category	Decorative
Related	Carrick bend, Turk's head, Austrian knot
Typical use	Mat for padding or decoration
ABoK	#2242, #2244
Instructions	[1]

8₁₈ knot
Basic seamless form
Arf invariant	1
Braid length	8
Braid no.	3
Bridge no.	3
Crosscap no.	4
Crossing no.	8
Genus	3
Hyperbolic volume	12.35090621
Unknotting no.	2
Conway notation	[8*]
A–B notation	8₁₈
Dowker notation	6, 8, 10, 12, 14, 16, 2, 4
D–T notation	8a12
Last / Next	8<sub>17</sub> / 8₁₉
Other
alternating, prime, fibered, prime, fully amphichiral

The carrick mat is a flat woven decorative knot which can be used as a mat or pad.^[1] Its name is based on the mat's decorative-type carrick bend with the ends connected together, forming an endless knot. A larger form, called the prolong knot, is made by expanding the basic carrick mat by extending, twisting, and overlapping its outer bights, then weaving the free ends through them. This process may be repeated to produce an arbitrarily long mat.^[2]

In its basic form it is the same as a 3-lead, 4-bight Turk's head knot.^[3] The basic carrick mat, made with two passes of rope, also forms the central motif in the logo of the International Guild of Knot Tyers.^[4]

When tied to form a cylinder around the central opening, instead of lying flat, it can be used as a woggle.

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References

^ Budworth, Geoffrey (1999). The Ultimate Encyclopedia of Knots & Ropework. London: Hermes House. p. 227.
^ Ashley, Clifford W. (1944). The Ashley Book of Knots. New York: Doubleday. pp. 362–363.
^ Pawson, Des (2002). Pocket Guide to Knots & Splices. Edison, NJ: Chartwell Books. p. 133.
^ "IGKT Publications". International Guild of Knot Tyers. Archived from the original on 2011-04-25. Retrieved 2011-03-22.

External links

"8_18", The Knot Atlas.

Knots

By type

Bends	Adjustable Albright special Ashley's Alpine butterfly Basket weave Beer Blood Carrick Double fisherman's Fisherman's Flemish Grief Halyard Harness Heaving line Hunter's Nail One-sided overhand Racking Sheet Shoelace Shroud Simple Simon under Single carrick Surgeon's Surgeon's loop Triple fisherman's True lover's Water Zeppelin
Binding	Boa Bottle sling Constrictor Corned beef Granny Ground-line hitch Jamming Miller's Packer's Reef Strangle Thief Transom
Climbing	Autoblock Bachmann Beer Bowline on a bight Alpine butterfly Directional figure eight Double bowline Farmer's loop Figure-eight Figure-eight loop Figure-of-nine loop Friction hitch Klemheist Munter hitch Noose Overhand loop Prusik Trident loop Yosemite bowline
Coils & shanks	Chain sinnet Sheepshank
Decorative	Carrick mat Chinese button Celtic button Diamond Fiador Friendship Ghiordes & Senneh Matthew Walker Turk's head Wall and crown (triple crown knot)
Fishing (angling)	Angler's loop Arbor Bimini twist Blood Fisherman's Improved clinch Knotless Nail Palomar Snell Trilene Triple fisherman's Turle Uni
Hitches	Adjustable grip Anchor bend Axle Bachmann Bale sling Barrel Becket Blackwall Blake's Boom Buntline Cat's paw Clove Cow Distel Double overhand noose Falconer's Farrimond friction Friction hitch Garda Ground-line Half Halter Highpoint Highwayman's Hitching tie Icicle Improved clinch Killick Knute Lobster buoy Marlinespike Munter Ossel Pile Pipe Sailor's Snuggle Swing Taut-line Timber Trucker's Tumble
Loop	Angler's Artillery loop Bale sling hitch Bowline Bumper Carrick bend loop Cossack Cowboy bowline Diamond Double bowline Dropper loop Eskimo bowline Fiador Fireman's chair Friendship knot Halter hitch Handcuff Honda Jury mast Overhand Portuguese bowline Rigid double splayed loop in the bight Slippery eight Span Spanish bowline Tom fool's Trident Triple bowline Water bowline Yosemite bowline Zeppelin
Running (slip)	Hangman's Running bowline Running highwayman's hitch Tarbuck
Splices & splicing	Eye Fid Marlinspike Rat-tail T Western Union
Stopper	Ashley's stopper Button Double overhand Monkey's fist Overhand Stevedore
Whipping	Common Overhand knot with draw-loop Portuguese Sailmaker's West Country

Lists of knots
Related topics

Lists of knots	Bends Bindings Decorative knots Hitches (friction) Mathematical
Related topics	Chinese knotting Density History International Guild of Knot Tyers Macramé Mizuhiki Norigae Ropework Lashing Splicing Seizing Sennit

v t e Knot theory (knots and links)
Hyperbolic	Figure-eight (4₁) Three-twist (5₂) Stevedore (6₁) 6₂ 6₃ Endless (7₄) Carrick mat (8₁₈) Perko pair (10₁₆₁) (−2,3,7) pretzel (12n242) Whitehead (5² ₁) Borromean rings (6³ ₂) L10a140 Conway knot (11n34)
Satellite	Composite knots Granny Square Knot sum
Torus	Unknot (0₁) Trefoil (3₁) Cinquefoil (5₁) Septafoil (7₁) Unlink (0² ₁) Hopf (2² ₁) Solomon's (4² ₁)
Invariants	Alternating Arf invariant Bridge no. 2-bridge Brunnian Chirality Invertible Crosscap no. Crossing no. Finite type invariant Hyperbolic volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime list Stick no. Tricolorability Unknotting no. and problem
Notation and operations	Alexander–Briggs notation Conway notation Dowker–Thistlethwaite notation Flype Mutation Reidemeister move Skein relation Tabulation
Other	Alexander's theorem Berge Braid theory Conway sphere Complement Double torus Fibered Knot List of knots and links Ribbon Slice Sum Tait conjectures Twist Wild Writhe Surgery theory
Category Commons

This page was last edited on 4 September 2021, at 08:53

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