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Student Support Forum: 'ParametricPlot3D of Functions' topicStudent Support Forum > General > "ParametricPlot3D of Functions"

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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}]

URL: ,

Subject (listing for 'ParametricPlot3D of Functions')
Author Date Posted
ParametricPlot3D of Functions Po-Heng Chen 09/29/98 07:26am
Re: ParametricPlot3D of Functions JC 10/01/98 2:40pm
Re: ParametricPlot3D of Functions hsn 10/01/98 2:41pm
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