bn:03029710n
Noun Concept
Categories: Knots (knot theory)
EN
Knot  Knots and Graphs  Framed knot  Framed link  mathematical knot
EN
In mathematics, a knot is an embedding of a topological circle S1 in 3-dimensional Euclidean space, R3, considered up to continuous deformations. Wikipedia
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EN
In mathematics, a knot is an embedding of a topological circle S1 in 3-dimensional Euclidean space, R3, considered up to continuous deformations. Wikipedia
An abstract representation of an interwoven linear object Wikipedia Disambiguation
Embedding of a circle in R³ Wikidata
A non-self-intersecting closed curve in (e.g., three-dimensional) space that is an abstraction of a knot (in sense 1 above). Wiktionary
Mathematics closed curve. Wiktionary (translation)
EN
A knot can be defined as a non-self-intersecting broken line whose endpoints coincide: when such a knot is constrained to lie in a plane, then it is simply a polygon. Wiktionary
A knot in its original sense can be modeled as a mathematical knot (or link) as follows: if the knot is made with a single piece of rope, then abstract the shape of that rope and then extend the working end to merge it with the standing end, yielding a mathematical knot. If the knot is attached to a metal ring, then that metal ring can be modeled as a trivial knot and the pair of knots become a link. If more than one mathematical knot (or link) can be thus obtained, then the simplest one (avoiding detours) is probably the one which one would want. Wiktionary