- alternating knot
-
A knot that has a knot diagram in which, in traveling along the knot, one passes through intersections alternatingly: over, under, over, under, etc.
Wikipedia foundation.
alternating knot
Look at other dictionaries:
Alternating knot — In knot theory, a link diagram is alternating if the crossings alternate under, over, under, over, as you travel along each component of the link. A link is alternating if it has an alternating diagram.Many of the knots with crossing number less… … Wikipedia
Alternating — may refer to:In mathematics: *alternating form *alternating group *alternating series *alternating knot *alternating mapIn electronics:*alternating current … Wikipedia
Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot … Wikipedia
List of knot theory topics — Knot theory is the study of mathematical knots. While inspired by knots which appear in daily life in shoelaces and rope, a mathematician s knot differs in that the ends are joined together so that it cannot be undone. In precise mathematical… … Wikipedia
alternating — adjective a) that alternates b) Having a planar diagram whose crossings alternate between over and under as one travels along the knot … Wiktionary
History of knot theory — For thousands of years, knots have been used for basic purposes such as recording information, fastening and tying objects together. Over time people realized that different knots were better at different tasks, such as climbing or sailing. Knots … Wikipedia
Torus knot — In knot theory, a torus knot is a special kind of knot which lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies on the surface of a torus in the same way. Each torus knot is specified by a pair of… … Wikipedia
Trefoil knot — In knot theory, the trefoil knot is the simplest nontrivial knot. It can be obtained by joining the loose ends of an overhand knot. It can be described as a (2,3) torus knot, and is the closure of the 2 stranded braid σ1³. It is also the… … Wikipedia
Chiral knot — In the mathematical field of knot theory, a chiral knot is a knot that is not equivalent to its mirror image. An oriented knot that is equivalent to its mirror image is an amphichiral knot, also called an achiral knot or amphicheiral knot. The… … Wikipedia
Solomon's knot — Not to be confused with Sigillum Solomonis, a name for the Polygonatum genus. Basic Solomon s knot … Wikipedia
