Template:Knot chirality

	Chiral	Amphichiral
Invertible	Reversible	Fully amphichiral
Non-invertible	Fully chiral	Amphichiral

Template documentation

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", The Mathematical Intelligencer 20 (4): 33–48, MR 1646740, doi:10.1007/BF03025227 .

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[htw-1] Hoste, Jim; Thistlethwaite, Morwen; Weeks, Jeff (1998), "The first 1,701,936 knots", The Mathematical Intelligencer 20 (4): 33–48, MR 1646740, doi:10.1007/BF03025227 .

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