Difference between revisions of "0708-1300/Class notes for Thursday, January 17"

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{{0708-1300/Navigation}}
 
{{0708-1300/Navigation}}
 
==Pictures for a Van-Kampen Computation==
 
{{In|
 
n  = 1 |
 
in = <nowiki><< KnotTheory`</nowiki>}}
 
 
<tt>Loading KnotTheory` version of January 13, 2008, 20:30:12.1353.<br>
 
Read more at http://katlas.org/wiki/KnotTheory.</tt>
 
 
{{Graphics|
 
n  = 2 |
 
in = <nowiki>TubePlot[TorusKnot[8, 3]]</nowiki> |
 
img= 0708-1300-T83.png}}
 
 
{{In|
 
n  = 3 |
 
in = <nowiki>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]
 
};</nowiki>}}
 
 
{{In|
 
n  = 4 |
 
in = <nowiki>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
 
];</nowiki>}}
 
 
{{Graphics|
 
n  = 5 |
 
in = <nowiki>GraphicsArray[{{InflatedTorus[3,8,1], InflatedTorus[3,8,-1]}}]</nowiki> |
 
img= 0708-1300-InflatedTori.png |
 
width = 640px}}
 

Revision as of 17:28, 21 January 2008

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