PlanetMath: alternating knot

(more info)

Math for the people, by the people.

donor list - find out how

Main Menu

sections Encyclopædia
Papers
Books
Expositions

meta Requests (236)
Orphanage
Unclass'd (1)
Unproven (540)
Corrections (49)
Classification

talkback Polls
Forums
Feedback
Bug Reports

downloads Snapshots
PM Book

information News
Docs
Wiki
ChangeLog
TODO List
Copyright
About

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) ]

(view preamble | get metadata)

Also defines:

alternating

This object's parent.

Attachments:: The first non-alternating knot (Example) by Dr_Absentius

Log in to rate this entry.
(view current ratings)

Cross-references: fixed, diagram, knot
There are 12 references to this entry.

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 1998 times total.

Classification:

AMS MSC:

57M25 (Manifolds and cell complexes :: Low-dimensional topology :: Knots and links in $S^3$)

Pending Errata and Addenda

None.[ View all 3 ]

Discussion

forum policy

No messages.

Interact