Kinoshita–Terasaka knot
| Kinoshita–Terasaka knot | |
|---|---|
| Crossing no. | 11 |
| Genus | 2 |
| Hyperbolic volume | 11.2191 |
| Thistlethwaite | 11n42 |
| Other | |
| prime, prime, slice | |
In knot theory, the Kinoshita–Terasaka knot is a particular prime knot with 11 crossings. It is named after Japanese mathematicians Shinichi Kinoshita and Hidetaka Terasaka, who wrote about it in 1957. The Kinoshita–Terasaka knot has a variety of interesting mathematical properties. It is related by mutation to the Conway knot, with which it shares a Jones polynomial. It has the same Alexander polynomial as the unknot.