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An unknot is a closed loop of rope without a knot, or any embedded circle in the 3-sphere that is deformable to a round circle. Learn how to recognize, simplify and classify unknots using various knot invariants and diagrams.
The unknotting problem is the problem of algorithmically recognizing the unknot, given some representation of a knot. Learn about the different types of unknotting algorithms, their complexity, and the unsolved challenges in this field of mathematics.
Unknot is a verb that means to remove a knot in something. Learn how to pronounce unknot and see sentences with this word.
Unknot is a verb that means to undo a knot in something. Learn how to use it in a sentence, see synonyms and word history, and explore related words and games on Merriam-Webster.com.
An unknot is a closed loop that is not knotted. Learn how to distinguish it from other knots using Reidemeister moves, coloring and polynomials, and see some examples of nontrivial knots with Alexander polynomial 1.
Learn about the unknot, the most simple knot that is not a knot, and how mathematicians, artists and magicians create and untangle it. Explore the unknotting problem, the challenges and methods to distinguish knots from unknots, and the gallery of unknot diagrams.
Learn about the unknotting problem, which asks whether a given knot diagram represents the unknot, and how to use invariants and algorithms to solve it. Explore the applications of knot theory to biology, cosmology, gauge theory and combinatorial knot Floer homology.
unknot diagram [12]. A nice example of this is the Culprit, shown in Figure2. If you look closely, you'll find that no simplifying type I or type II Reidemeister moves and no type III moves are available. Yet this is indeed the unknot. In order to unknot it, we need to introduce new crossings with Reidemeister I and II moves. In Figure3, we see
The earliest known use of the verb unknot is in the late 1500s. OED's earliest evidence for unknot is from 1571, in a translation by Thomas Fortescue, translator and alleged sorcerer. unknot is formed within English, by derivation. Etymons: un-prefix 2, knot v. See etymology. Nearby entries.
To untie a knot in (something).... Click for English pronunciations, examples sentences, video.