Carrick mat

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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 name	8a12
Last /Next	8₁₇ / 8₁₉
Other
alternating, 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 stems from the fact that the mat is based on the 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, is can be used as a woggle.

References

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External links

"8_18", The Knot Atlas.

Knots

By type

Bends	Adjustable bend Albright special Ashley's bend Alpine butterfly bend Basket weave knot Beer knot Blood knot Carrick bend Double fisherman's knot Fisherman's knot Flemish bend Grief knot Halyard bend Harness bend Heaving line bend Hunter's bend Nail knot One-sided overhand bend Racking bend Sheet bend Shoelace knot Shroud knot Simple Simon under Single carrick bend Surgeon's knot Surgeon's loop Triple fisherman's knot True lover's knot Water knot Zeppelin bend Zeppelin loop
Binding	Boa knot Bottle sling Constrictor knot Corned beef knot Granny knot Ground-line hitch Jamming knot Miller's knot Packer's knot Reef knot Strangle knot Thief knot Transom knot
Climbing	Autoblock Bachmann knot Beer knot Bowline on a bight Alpine butterfly knot Directional figure eight Double anchorman knot Double bowline Farmer's loop Figure-eight knot Figure-eight loop Figure-of-nine loop Friction hitch Klemheist knot Munter hitch Overhand loop Prusik Trident loop Yosemite bowline
Coils	Butterfly coil Alpine coil
Decorative	Carrick mat Chinese button knot Celtic button knot Diamond knot Fiador knot Friendship knot Matthew Walker knot Turk's head knot Wall and crown knot
Fishing (angling)	Angler's loop Arbor knot Bimini twist Blood knot Fisherman's knot Half blood knot Improved clinch knot Knotless knot Nail knot Palomar knot Snell knot Trilene knot Triple fisherman's knot Turle knot Uni knot
Hitches	Adjustable grip hitch Anchor bend Axle hitch Bachmann knot Bale sling hitch Barrel hitch Becket hitch Blackwall hitch Blake's hitch Boom hitch Buntline hitch Cat's paw Clove hitch Cow hitch Double overhand noose Falconer's knot Farrimond friction hitch Friction hitch Garda hitch Gripping Sailor's hitch Ground-line hitch Half hitch Halter hitch Highpoint hitch Highwayman's hitch Hitching tie Icicle hitch Improved clinch knot Killick hitch Knute hitch Lobster buoy hitch Marlinespike hitch Munter hitch Ossel hitch Pile hitch Snuggle hitch Swing hitch Taut-line hitch Timber hitch
Loop	Angler's loop Artillery loop Bale sling hitch Bowline Bumper knot Carrick bend loop Cowboy bowline Diamond knot Double bowline Dropper loop Eskimo bowline Fiador knot Fireman's chair knot Friendship knot loop Halter hitch Handcuff knot Honda knot Jury mast knot Overhand loop Portuguese bowline Rigid double splayed loop in the bight Slippery eight loop Span loop Spanish bowline Tom fool's knot Trident loop Triple bowline Triple crown knot Water bowline Yosemite bowline Zeppelin loop
Running (slip)	Hangman's knot Running bowline Running highwayman's hitch Slip knot Tarbuck knot
Shanks	Catshank Dogshank Sheepshank
Stopper	Ashley's stopper knot Button knot Double overhand knot Monkey's fist Overhand knot Stevedore knot
Whipping	Common whipping Overhand knot with draw-loop Portuguese whipping Sailmaker's whipping West Country whipping

Lists of knots
Related topics

Lists of knots	Bends Bindings Decorative knots Hitches (friction) Macramé Mathematical
Related topics	Chinese knotting International Guild of Knot Tyers Lashing Rope splicing Seizing

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
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. & problem
Notation & operations	Alexander–Briggs notation Conway notation Dowker 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
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