trefoil knot

simplest non-trivial closed knot with three crossings

Wikidata entity: Q168620

Wikimedia Commons category is Trefoil knots

Quantities

crossing number

3

P4896	3D model	CommonsMedia	http://commons.wikimedia.org/wiki/Special:FilePath/Knot-1-2-9-6-20-10-1%20low.stl	???
P5350	Alexander polynomial	Math	$t^{2} - t + 1$	???
P6432	Alexander–Briggs notation	Math	$3_{1}$	???
P373	Commons category	String	Trefoil knots	???
P5351	Conway polynomial	Math	$z^{2} + 1$	???
P8416	Dowker-Thistlethwaite name	Math	$3 a_{1}$	???
P8378	Dowker-Thistlethwaite notation	Math	$4, 6, 2$	???
P11034	Gauss notation	Math	${1, - 2, 3, - 1, 2, - 3}$	???
P31	instance of	...	Q1014491 (prime knot)	prime knot
P31	instance of	...	Q1892897 (torus knot)	torus knot
P31	instance of	...	Q4064646 (chiral knot)	chiral knot
P5352	Jones polynomial	Math	$- q^{4} + q^{3} + q$	???
P6104	maintained by WikiProject	...	Q8487137 (WikiProject Mathematics)	WikiProject Mathematics
P10	video	CommonsMedia	http://commons.wikimedia.org/wiki/Special:FilePath/Trefoil%20knot.webm	???

External Ids

P646	Freebase ID	/m/0248_0
P8426	Knot Atlas ID	3_1
P8427	Knotinfo ID	3_1
P2812	MathWorld ID	TrefoilKnot
P6366	Microsoft Academic ID (discontinued)	19794929
P4215	nLab ID	trefoil knot
P10283	OpenAlex ID	C19794929
P10376	ScienceDirect topic ID	mathematics/trefoil-knot

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