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)
“In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.”
—Michel de Montaigne (1533–1592)