| Author |
Comment/Response |
JC
|
 10/01/98 2:40pm
>
> I am having difficulty plotting parametric functions substituting only one variable:
>
> Parametric function 1 is defined as follows:
>
> \!\(\(f\_1[t_, s_] = {t\ Cos[s], t, t\ Sin[s]}; \)\)
>
> I would like to parametrically plot function 1 for t=0..Pi at s=0,Pi/4,Pi/2,Pi.
> This is the command I've been using:
>
> \!\(ParametricPlot3D[{f\_1[t, 0], f\_1[t, Pi/4], f\_1[t, Pi/2],
> f\_1[t, Pi]}, {t, 0, 2 Pi}, AspectRatio -> 1]\)
>
> But the error messages say:
>
> \!\(ParametricPlot3D::''pplr'' \( : \ \)
> ''\!\({\(f\_1[\(t, 0\)]\), \(f\_1[\(t, \\[Pi]\/4\)]\), \(f\_1[\(t, \
> \\[Pi]\/2\)]\), \(f\_1[\(t, \\[Pi]\)]\)}\) is not a list starting with three \
> real numbers at \!\(t\) = \!\(0.`\).''\)
> \!\(ParametricPlot3D::''pplr'' \( : \ \)
> ''\!\({\(f\_1[\(t, 0\)]\), \(f\_1[\(t, \\[Pi]\/4\)]\), \(f\_1[\(t, \
> \\[Pi]\/2\)]\), \(f\_1[\(t, \\[Pi]\)]\)}\) is not a list starting with three \
> real numbers at \!\(t\) = \!\(0.0849079095564808916`\).''\)
> \!\(ParametricPlot3D::''pplr'' \( : \ \)
> ''\!\({\(f\_1[\(t, 0\)]\), \(f\_1[\(t, \\[Pi]\/4\)]\), \(f\_1[\(t, \
> \\[Pi]\/2\)]\), \(f\_1[\(t, \\[Pi]\)]\)}\) is not a list starting with three \
> real numbers at \!\(t\) = \!\(0.169815819112961774`\).''\)
> General::''stop'':
> ''Further output of \!\(ParametricPlot3D :: \''pplr\''\) will be suppressed \
> during this calculation.''
> ParametricPlot3D::''ppx'':
> ''Graphics3D object calculated in ParametricPlot3D is empty.''
> Out[14]=
> \!\(ParametricPlot3D[{f\_1[t, 0], f\_1[t, \[Pi]\/4], f\_1[t, \[Pi]\/2],
> f\_1[t, \[Pi]]}, {t, 0, 2\ \[Pi]}, AspectRatio \[Rule] 1]\)
>
> What am I doing wrong here? Thanks.
>
----------------------------------------------------------------------------
To plot the parametric equation keeping s as a constant at
s=0, Pi/4, Pi/2, Pi over the range of t from 0 to 2Pi can be done as follows:
ParametricPlot3D[{{t Cos[0],t,t Sin[0]},{t Cos[Pi/4],t,t Sin[Pi/4]},{
t Cos[Pi/2],t,t Sin[Pi/2]},{t Cos[Pi],t,t Sin[Pi]},{t Cos[2 Pi],t,
t Sin[2 Pi]}},{t,0,2 Pi}]
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