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:
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (1670–1733)
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)