Editing Pretzel link (section)

==Some examples==
The (1,&nbsp;1,&nbsp;1) pretzel knot is the (right-handed) [[trefoil knot|trefoil]]; the (−1,&nbsp;−1,&nbsp;−1) pretzel knot is its [[mirror image]].

The (5,&nbsp;−1,&nbsp;−1) pretzel knot is the [[Stevedore knot (mathematics)|stevedore knot]]&nbsp;(6<sub>1</sub>).

If <var>p</var>, <var>q</var>, <var>r</var> are distinct odd integers greater than 1, then the (''p'',&nbsp;''q'',&nbsp;''r'') pretzel knot is a [[non-invertible knot]].

The (2''p'',&nbsp;2''q'',&nbsp;2''r'') pretzel link is a link formed by three linked [[unknot]]s.

The (−3,&nbsp;0,&nbsp;−3) pretzel knot ([[square knot (mathematics)]]) is the [[connected sum]] of two [[trefoil knot]]s.

The (0,&nbsp;<var>q</var>,&nbsp;0) pretzel link is the [[Split link|split union]] of an [[unknot]] and another knot.

===Montesinos===

A '''Montesinos link''' is a special kind of [[link (knot theory)|link]] that generalizes pretzel links (a pretzel link can also be described as a Montesinos link with integer tangles). A Montesinos link which is also a [[knot (mathematics)|knot]] (i.e., a link with one component) is a '''Montesinos knot'''.

A Montesinos link is composed of several [[rational tangles]]. One notation for a Montesinos link is <math>K(e;\alpha_1 /\beta_1,\alpha_2  /\beta_2,\ldots,\alpha_n  /\beta_n)</math>.<ref>{{citation|last=Zieschang|first=Heiner|authorlink=Heiner Zieschang| contribution=Classification of Montesinos knots|title= Topology (Leningrad, 1982)| series=Lecture Notes in Mathematics| volume=1060|publisher=Springer|location= Berlin|year= 1984| pages=378–389|mr=0770257|doi=10.1007/BFb0099953}}</ref>

In this notation, <math>e</math> and all the <math>\alpha_i</math> and <math>\beta_i</math> are integers. The Montesinos link given by this notation consists of the [[Tangle (mathematics)#Operations on tangles|sum]] of the rational tangles given by the integer <math>e</math> and the rational tangles  <math>\alpha_1 /\beta_1,\alpha_2  /\beta_2,\ldots,\alpha_n  /\beta_n</math>

These knots and links are named after the Spanish topologist [[José María Montesinos Amilibia]], who first introduced them in 1973.<ref>{{citation|mr=0341467|last=Montesinos|first= José M.|title=
Seifert manifolds that are ramified two-sheeted cyclic coverings| 
journal=Boletín de la Sociedad Matemática Mexicana|series= 2|volume= 18 |year=1973|pages=1–32}}</ref>