Knot Explorer

​
knot name
Unknot
representation
Image
show
box
info
invariant
do not show
polynomial
do not show
notation
do not show
common name
unknot
alternate names
trivial knot
classes
Alternating,Amphichiral,Hyperbolic,Invertible,Nonsatellite,Nontorus,Prime
information
http://mathworld.wolfram.com/Unknot.html
This Demonstration explores Mathematica's knot data.
You can see various representations of knots (3D image, 2D knot diagram, 2D + 3D braid diagram), names, classifications, notations, invariants, and polynomials. The data derives from the built-in Mathematica function KnotData.

External Links

Knot (Wolfram MathWorld)

Permanent Citation

Tom Verhoeff
​
​"Knot Explorer"​
​http://demonstrations.wolfram.com/KnotExplorer/​
​Wolfram Demonstrations Project​
​Published: December 2, 2013