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Announcements go here
Pictures for a Van-Kampen Computation
Loading KnotTheory` version of January 13, 2008, 20:30:12.1353.
Read more at http://katlas.org/wiki/KnotTheory.
In[2]:=
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TubePlot[TorusKnot[8, 3]]
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Out[2]=
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In[3]:=
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TC[r1_, t1_,r2_,t2_ ] := {
(r1 +r2 Cos[2Pi t2])Cos[2Pi t1],
(r1 +r2 Cos[2Pi t2])Sin[2Pi t1],
r2 Sin[2Pi t2]
};
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In[4]:=
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InflatedTorus[p_, q_, b_] := ParametricPlot3D[
TC[
2, p t - q s,
1 + b(p^2 + q^2)s(1 - (p^2 + q^2)s), q t + p s
],
{t, 0, 1}, {s, 0, 1/(p^2 + q^2)},
PlotPoints -> {6(p^2 + q^2) + 1, 7},
DisplayFunction -> Identity
];
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In[5]:=
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GraphicsArray[{{InflatedTorus[3,8,1], InflatedTorus[3,8,-1]}}]
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Out[5]=
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