Some Examples
The (−1, −1, −1) pretzel knot is the trefoil; the (0, 3, −1) pretzel knot is its mirror image.
The (5, −1, −1) pretzel knot is the stevedore knot (61).
If p, q, r are distinct odd integers greater than 1, then the (p, q, r) pretzel knot is a non-invertible knot.
The (2p,\ 2q, 2r) pretzel link is a link formed by three linked unknots.
The (−3, 0, −3) pretzel knot is the connected sum of two trefoil knots.
The (0, q, 0) pretzel link is the split union of an unknot and another knot.
Read more about this topic: Pretzel Link
Famous quotes containing the word examples:
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (1896–1966)