Chiral knots and links | Knot chirality

Chiral knot

In the mathematical field of knot theory, a chiral knot is a knot that is not equivalent to its mirror image (when identical while reversed). An oriented knot that is equivalent to its mirror image is an amphicheiral knot, also called an achiral knot. The chirality of a knot is a knot invariant. A knot's chirality can be further classified depending on whether or not it is invertible. There are only five knot symmetry types, indicated by chirality and invertibility: fully chiral, invertible, positively amphicheiral noninvertible, negatively amphicheiral noninvertible, and fully amphicheiral invertible. (Wikipedia).

Chiral knot
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Related pages

Knot (mathematics) | Crossing number (knot theory) | 3-sphere | Jones polynomial | Knot invariant | Mathematics | Prime knot | Homeomorphism | Ambient isotopy | Invertible knot | Orientability | Figure-eight knot (mathematics) | Chirality (mathematics) | HOMFLY polynomial | Torus knot | Alexander polynomial | Alternating knot | Knot theory