Three-twist knot | |
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Common name | Figure-of-nine knot |
Arf invariant | 0 |
Braid length | 6 |
Braid no. | 3 |
Bridge no. | 2 |
Crosscap no. | 2 |
Crossing no. | 5 |
Genus | 1 |
Hyperbolic volume | 2.82812 |
Stick no. | 8 |
Unknotting no. | 1 |
Conway notation | [32] |
A–B notation | 52 |
Dowker notation | 4, 8, 10, 2, 6 |
Last / Next | 51 / 61 |
Other | |
alternating, hyperbolic, prime, reversible, twist |
In knot theory, the three-twist knot is the twist knot with three-half twists. It is listed as the 52 knot[1] in the Alexander-Briggs notation, and is one of two knots with crossing number five, the other being the cinquefoil knot.
(b) the knot with three half-twists, called the 52 knot.