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Re: 3D Plot
*To*: mathgroup at smc.vnet.net
*Subject*: [mg2364] Re: [mg2302] 3D Plot
*From*: Richard Mercer <richard at seuss.math.wright.edu>
*Date*: Fri, 27 Oct 1995 01:51:06 -0400
>
> There is a vector
> (x1(t1,t2,t3), x2(t1,t2,t3), x3(t1,t2,t3))
> now I want
> to plot the 3D figure for
> 0<t1<t1max, 0<t2<t2max, 0<t3<t3max.
>
> How can this be done?
>
> Hans Friedrich Steffani
There is no command or graphics primitives for plotting "solid" 3-D
objects, only for plotting surfaces. So what you need to do is plot the
boundary surfaces of your object. As I understand it, they would be
the following six surfaces:
(x1(0,t2,t3), x2(0,t2,t3), x3(0,t2,t3));
0<t2<t2max, 0<t3<t3max
(x1(t1max,t2,t3), x2(t1max,t2,t3), x3(t1max,t2,t3));
0<t2<t2max, 0<t3<t3max
(x1(t1,0,t3), x2(t1,0,t3), x3(t1,0,t3));
0<t1<t1max, 0<t3<t3max
(x1(t1,t2max,t3), x2(t1,t2max,t3), x3(t1,t2max,t3));
0<t1<t1max, 0<t3<t3max
(x1(t1,t2,0), x2(t1,t2,0), x3(t1,t2,0));
0<t1<t1max, 0<t2<t2max
(x1(t1,t2, t3max), x2(t1,t2, t3max), x3(t1,t2, t3max));
0<t1<t1max, 0<t2<t2max
Each of these surfaces can be plotted using
ParametricPlot3D. Actually, you can plot them all in a single
ParametricPlot3D command, but I suggest you try them one at a time
first to make sure things are working out.
Richard Mercer
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