Template:Rolfsen Knot Presentations Computer Talk
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The session shown below is meant to be similar to the notebook in http://katlas.org/svn/KnotAtlas/RolfsenKnotPageSession.nb
Computer Talk
The above data is available with the Mathematica package
KnotTheory`. Your input (in red) is realistic; all else should have the same content as in a real mathematica session, but with different formatting.
(The path below may be different on your system, and possibly also the KnotTheory` date)
In[1]:=
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AppendTo[$Path, "C:/drorbn/projects/KAtlas/"];
<< KnotTheory`
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Loading KnotTheory` version of May 31, 2006, 14:15:20.091.
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In[3]:=
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K = Knot["Rolfsen Knot Presentations Computer Talk"];
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In[4]:=
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PD[K]
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KnotTheory::loading: Loading precomputed data in PD4Knots`.
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Out[4]=
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Data:Rolfsen Knot Presentations Computer Talk/PD Presentation |
In[5]:=
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GaussCode[K]
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Out[5]=
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1, -4, 3, -6, 5, -1, 2, -3, 6, -8, 7, -5, 4, -2, 8, -7 |
In[6]:=
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DTCode[K]
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Out[6]=
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Data:Rolfsen Knot Presentations Computer Talk/DT Code |
(The path below may be different on your system)
In[7]:=
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AppendTo[$Path, "C:/bin/LinKnot/"];
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In[8]:=
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ConwayNotation[K]
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Out[8]=
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Data:Rolfsen Knot Presentations Computer Talk/Conway Notation |
In[9]:=
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br = BR[K]
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KnotTheory::credits: The minimum braids representing the knots with up to 10 crossings were provided by Thomas Gittings. See arXiv:math.GT/0401051.
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Out[9]=
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Data:Rolfsen Knot Presentations Computer Talk/BraidWord |
In[10]:=
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{First[br], Crossings[br], BraidIndex[K]}
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KnotTheory::credits: The braid index data known to KnotTheory` is taken from Charles Livingston's http://www.indiana.edu/~knotinfo/.
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KnotTheory::loading: Loading precomputed data in IndianaData`.
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In[11]:=
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Show[BraidPlot[br]]
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| Data:Rolfsen Knot Presentations Computer Talk/BraidPlot |
Out[11]=
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-Graphics- |
In[12]:=
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Show[DrawMorseLink[K]]
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KnotTheory::credits: "MorseLink was added to KnotTheory` by Siddarth Sankaran at the University of Toronto in the summer of 2005."
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KnotTheory::credits: "DrawMorseLink was written by Siddarth Sankaran at the University of Toronto in the summer of 2005."
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| File:Rolfsen Knot Presentations Computer Talk ML.gif |
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-Graphics- |
In[13]:=
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ap = ArcPresentation[K]
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Out[13]=
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ArcPresentation[{7, 10}, {9, 2}, {10, 4}, {3, 5}, {4, 8}, {6, 9}, {5, 1}, {2, 7}, {1, 6}, {8, 3}] |
In[14]:=
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Draw[ap]
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| File:Rolfsen Knot Presentations Computer Talk AP.gif |
Out[14]=
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-Graphics- |
