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Let a knot K be n-embeddable. Then its tunnel number is a knot invariant which is related to n.

A group acts freely if there are no group fixed points. A point which is fixed by every group element would not be free to move.

The clove hitch is the hitch illustrated above that is also called the boatman's knot or peg knot.

A knot used to shorten a long rope.

Two knots are pass equivalent if there exists a sequence of pass moves taking one to the other. Every knot is either pass equivalent to the unknot or trefoil knot. These two ...

The cubic groups are the point groups T_h and O_h together with their pure rotation subgroups T_d, T, and O (Cotton 1990, pp. 433-434).

Call a projection of a link an almost alternating projection if one crossing change in the projection makes it an alternating projection. Then an almost alternating link is a ...

The hyperbolic volume of the knot complement of a hyperbolic knot is a knot invariant. Adams (1994) lists the hyperbolic volumes for knots and links. The hyperbolic volume of ...

A numerical knot invariant. For a tame knot K, the bridge index is the least bridge number of all planar representations of the knot. The bridge index of the unknot is ...

The satellite knot of an unknot twisted inside a torus.