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