| Chiral | Amphichiral | |
|---|---|---|
| Invertible | Reversible | Fully amphichiral |
| Non-invertible | Fully chiral | Amphichiral |
Template documentationThis template is intended to provide a consistent explanatory note on the category pages linked to.
There are only five knot symmetry types, indicated by chirality and invertibility: fully chiral, reversible, positively amphichiral noninvertible, negatively amphichiral noninvertible, and fully amphichiral invertible.[1]
References
- ^ Hoste, Jim; Thistlethwaite, Morwen; Weeks, Jeff (1998), "The first 1,701,936 knots" (PDF), The Mathematical Intelligencer, 20 (4): 33–48, doi:10.1007/BF03025227, MR 1646740.