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[parent] alternating knot (Definition)

An alternating knot is a knot with a diagram that has crossings that alternate between over and under as one travels around the knot in a fixed direction.

Examples of alternating knots include the trefoil knot and the figure-eight knot.



"alternating knot" is owned by Mathprof. [ full author list (2) | owner history (1) ]
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Also defines:  alternating

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The first non-alternating knot (Example) by Dr_Absentius
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Cross-references: fixed, knot
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This is version 6 of alternating knot, born on 2006-12-22, modified 2007-07-20.
Object id is 8658, canonical name is AlternatingKnot.
Accessed 1240 times total.

Classification:
AMS MSC57M25 (Manifolds and cell complexes :: Low-dimensional topology :: Knots and links in $S^3$)

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