Questions about exploring knot theory using Mathematica.
E.g., KnotData[] or package KnotTheory, etc..
Questions tagged [knots]
24 questions
5
votes
1 answer
Orient a Knot Diagram
I need some help to orient a diagram knot
For example if I have the diagram KnotData["Trefoil,"KnotDiagram"]
How can I orient the diagram?
I have tried to find a command in Wolfram that assigns an orientation to the knot, but I still can't find it,…
SSG19
- 51
- 2
1
vote
0 answers
Deform a three-dimensional knot
Mathematica has curated knot data, e.g.,
KnotData[{3, 1}]
One can extract the three-dimensional space curve in this way:
f = KnotData[{3, 1}, "SpaceCurve"]
(* {Sin[#1] + 2 Sin[2 #1], Cos[#1] - 2 Cos[2 #1], -Sin[3 #1]} & *)
and plot it to show…
David G. Stork
- 41,180
- 3
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- 96
0
votes
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generating torus and n-torus knots in mathematica
I am wondering if it's possible to either algorithmically generate or access a built in database of n-torus knots in Mathematica? If not, are there any known databases or algorithms which I could access?
Thanks.
Ari
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