figure-eight knot

unique knot with a crossing number of four

Wikidata entity: Q168697

Wikimedia Commons category is Figure-eight knots (knot theory)

Quantities

crossing number

4

P4896	3D model	CommonsMedia	http://commons.wikimedia.org/wiki/Special:FilePath/Achterknoten%2020230608%20001.stl	???
P5350	Alexander polynomial	Math	$- t + 3 - t^{- 1}$	???
P6432	Alexander–Briggs notation	Math	$4_{1}$	???
P373	Commons category	String	Figure-eight knots (knot theory)	???
P5351	Conway polynomial	Math	$1 - z^{2}$	???
P2534	defining formula	Math	$(\begin{matrix} x \\ y \\ z \end{matrix}) = (\begin{matrix} (2 + \cos (2 t)) \cos (3 t) \\ (2 + \cos (2 t)) \sin (3 t) \\ \sin (4 t) \end{matrix})$	???
P8416	Dowker-Thistlethwaite name	Math	$4 a_{1}$	???
P8378	Dowker-Thistlethwaite notation	Math	$4, 6, 8, 2$	???
P11034	Gauss notation	Math	${- 1, 2, - 3, 1, - 4, 3, - 2, 4}$	???
P31	instance of	...	Q1014491 (prime knot)	prime knot
P31	instance of	...	Q2381352 (fibered knot)	fibered knot
P31	instance of	...	Q4736417 (alternating knot)	alternating knot
P31	instance of	...	Q7858476 (twist knot)	twist knot
P5352	Jones polynomial	Math	$q^{2} - q + 1 - q^{- 1} + q^{- 2}$	???
P6104	maintained by WikiProject	...	Q8487137 (WikiProject Mathematics)	WikiProject Mathematics
P2561	name	Monolingualtext	figure-eight knot	???
P2561	name	Monolingualtext	Listing's knot	???

External Ids

P646	Freebase ID	/m/0g6v3
P11514	Great Russian Encyclopedia portal ID	uzel-listinga-1da1d6
P8426	Knot Atlas ID	4_1
P8427	Knotinfo ID	4_1
P2812	MathWorld ID	FigureEightKnot
P6366	Microsoft Academic ID (discontinued)	2777989480

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