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Re: 3D plot question
*To*: mathgroup at smc.vnet.net
*Subject*: [mg2067] Re: [mg2055] 3D plot question
*From*: Richard Mercer <richard at seuss.math.wright.edu>
*Date*: Sat, 23 Sep 1995 20:35:04 -0400
> Hello group,
>
> Suppose I want to plot a 3-D surface that is orthogonal
> to the x-y plane. In other words, for each x and y,
> z takes on all possible values. Any idea how I can
> do this?
>
> My first thought was simply to swap two of the
> coordinates, say x and z, make the plot, and then
> re-orient it so that it looks right. But I gave myself
> a headache trying to figure out the appropriate
> viewpoint.
>
> Any suggestions would be appreciated.
>
> Dave Wagner
The simplest and best solution is to represent your surface parametrically, and
use ParametricPlot3D. For example, to display a cylinder of radius 1 with axis
on the z-axis,
ParametricPlot3D[{Cos[t],Sin[t],s},{t,0,2Pi},{s,-5,5}];
Or if you have x as a function of y and z, x = f(y,z),
ParametricPlot3D[{f[y,z],y,z},{y,a,b},{z,c,d}];
If you have any equation at all for your surface it can probably be rewritten
as parametric equations.
Richard Mercer
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