Examples for

Knot Theory

In topology, knot theory is about the study of knots and their properties, where a knot is defined as a closed, non-self-intersecting curve embedded in three-dimensional space. Wolfram|Alpha has the ability to recognize a knot with multiple representations and compute its properties or to compare multiple knots.


Find and visualize a knot, either by its common name or by using knot notations.

Compute properties of a knot:

Specify a knot using Alexander–Briggs notation:

Specify a knot using Conway notation:

Compute properties of a torus knot:

Compare several knots:

Compute a specific property of a knot: