Granny knot (mathematics)

Granny knot
Common nameGranny knot
Crossing no.6
Stick no.8
A–B notation
Other
alternating, composite, tricolorable
3D depiction

In knot theory, the granny knot is a composite knot obtained by taking the connected sum of two identical trefoil knots. It is closely related to the square knot, which can also be described as a connected sum of two trefoils. Because the trefoil knot is the simplest nontrivial knot, the granny knot and the square knot are the simplest of all composite knots.

The granny knot is the mathematical version of the common granny knot.