A miller's knot is a binding knot used to secure the opening of a sack or bag. Historically, large sacks often contained grains; thus the association of these knots with the miller's trade. Several knots are known interchangeably by these three names.
ABoK #1241 around the neck of a paper bag
4 - ABOK #1241
2 - ABOK #1242
3 - ABOK #1243 or Spar hitch or Ground-line hitch
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 another; 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 mathematics known as knot theory.
Knot board [es] on Elbe 1 (ship, 1965)
An example of a quipu from the Inca Empire, currently in the Larco Museum Collection.
Alexander cuts the Gordian Knot, by Jean-Simon Berthélemy (1743–1812)
Gordian Knot statue (1990)