Hitch (knot)

A hitch is a type of knot used to secure a rope to an object or another rope. Hitches are used in a variety of situations, including climbing, sailing, and securing loads. They are classified based on their ability to be tightened or released, their resistance to slipping, and their strength. Some common types of hitch knots include the clove hitch, the timber hitch, and the round turn and two half-hitches.

Physical theory
A simple mathematical theory of hitches has been proposed by Bayman. It predicts whether or not a hitch will hold, given the diameter of the post, the diameter of the rope, and the coefficient of friction between the post and the rope. The theory has been extended by Maddocks and Keller, including an approximate treatment of knots that are not hitches. For example, they predict that a square knot will hold when the coefficient of friction of the rope with itself is greater than 0.24. These predictions are approximately correct when tested empirically.