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:
“Brutus. How many times shall Caesar bleed in sport,
That now on Pompey’s basis lies along,
No worthier than the dust!
Cassius. So oft as that shall be,
So often shall the knot of us be called
The men that gave their country liberty.”
—William Shakespeare (1564–1616)