7 2 knot
Mathematical knot with crossing number 7
From Wikipedia, the free encyclopedia
In knot theory, the Pentatwist knot, also known as the five-twist knot, or the 72, is one of seven prime knots with crossing number seven. It is the fifth twist knot.
| Pentatwist knot, five-twist knot | |
|---|---|
| |
| Arf invariant | 1 |
| Braid length | 9 |
| Braid no. | 4 |
| Bridge no. | 2 |
| Crosscap no. | 2 |
| Crossing no. | 7 |
| Genus | 1 |
| Hyperbolic volume | 2.82812 |
| Stick no. | 9 |
| Unknotting no. | 2 |
| Conway notation | [52] |
| A–B notation | 72 |
| Dowker notation | 4, 8, 12, 14, 2, 6, 10 |
| Last / Next | 71 / 73 |
| Other | |
| alternating, twist, prime, reversible | |
