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Carrick mat

Carrick mat
Carrick mat Brianetta.jpg
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
8crossing-symmetrical.svg
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 817819
Other
alternating, fibered, prime, fully amphichiral


The carrick mat is a flat woven decorative knot which can be used as a mat or pad. 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.

In its basic form it is the same as a 3-lead, 4-bight Turk's head knot. 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.

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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Wikipedia

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