Knot (mathematics)
In mathematics, a knot is an embedding of a circle in 3-dimensional Euclidean space, R3, considered up to continuous deformations (isotopies). A crucial difference between the standard mathematical and conventional notions of a knot is that mathematical knots are closed—there are no ends to tie or untie on a mathematical knot. Physical properties such as friction and thickness also do not apply, although there are mathematical definitions of a knot that take such properties into account. The term knot is also applied to embeddings of in, especially in the case . The branch of mathematics that studies knots is known as knot theory.
Read more about Knot (mathematics): Formal Definition, Types of Knots, Generalization
Famous quotes containing the word knot:
“Separation’s fire
can be borne
when there’s a knot of hope,
but Mother,
when my love leaves home
and stays in the same village,
it’s far worse than death.”
—Hla Stavhana (c. 50 A.D.)