Obtain a list of classical named knots:

Obtain a list of knots that have Alexander-Briggs notations:

A knot can be specified by its standard *Mathematica* name:

Knots can also be specified in Alexander-Briggs notation:

Conway notation:

Dowker notation:

A torus knot is specified by a pair of coprime integers:

A pretzel knot is specified by the number of crossings of its tangles:

Find the English name of a knot:

A list of alternate names can also be found:

Find the list of knot classes:

Find the list of knots belonging to a class:

Test whether an element belongs to a class:

Get a list of classes in which a knot belongs:

A list of knots which are noninvertible and alternating:

Get a list of possible properties:

Get a list of available properties for a particular knot:

Image of a knot:

Diagram of a knot:

Get more information about a knot:

Get different notational forms:

Get different notational forms, useful for input:

A property value can be any valid *Mathematica* expression:

Polynomial invariants are given as pure functions:

A space curve for a knot is given as

Function or

InterpolatingFunction:

3D images of knots are

Graphics3D objects:

Get the 3D primitives for the

:

2D diagrams of knots are

Graphics objects:

Get the 2D primitives for the

:

A property that is not applicable to a knot has the value

Missing:

A property that is not available for a knot has the value

Missing:

A property that is unknown for a knot has the value

Missing:

Specify a list of properties for a knot: