Knot

Knot

A knot is an intentional complication in cordage which may be practical or decorative, or both. Practical knots are classified by function, including hitches, bends, loop knots, and splices: a hitch fastens a rope to another object; a bend fastens two ends of a rope to each other; a loop knot is any knot creating a loop; and splice denotes any multi-strand knot, including bends and loops. A knot may also refer, in the strictest sense, to a stopper or knob at the end of a rope to keep that end from slipping through a grommet or eye. Knots have excited interest since ancient times for their practical uses, as well as their topological intricacy, studied in the area of topology known as knot theory.

Knot (mathematics)

In mathematics, a knot is an embedding of the circle into three-dimensional Euclidean space, R3. Often two knots are considered equivalent if they are ambient isotopic, that is, if there exists a continuous deformation of R3 which takes one knot to the other.

knot

Noun

1. A looping of a piece of string or of any other long, flexible material that cannot be untangled without passing one or both ends of the material through its loops.
2. A tangled clump of hair or similar.

Verb

1. To form into a knot; to tie with a knot or knots.
2. To form wrinkles in the forehead, as a sign of concentration, concern, surprise, etc.