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