Square knot (mathematics)
Connected sum of two trefoil knots with opposite chirality / From Wikipedia, the free encyclopedia
In knot theory, the square knot is a composite knot obtained by taking the connected sum of a trefoil knot with its reflection. It is closely related to the granny knot, which is also a connected sum of two trefoils. Because the trefoil knot is the simplest nontrivial knot, the square knot and the granny knot are the simplest of all composite knots.
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Quick Facts Common name, Crossing no. ...
Square knot | |
---|---|
Common name | Reef knot |
Crossing no. | 6 |
Stick no. | 8 |
A–B notation | |
Other | |
alternating, composite, pretzel, slice, amphichiral, tricolorable |
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The square knot is the mathematical version of the common reef knot.