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Re: ParametricPlot3D
*To*: mathgroup at smc.vnet.net
*Subject*: [mg32659] Re: [mg32638] ParametricPlot3D
*From*: BobHanlon at aol.com
*Date*: Sat, 2 Feb 2002 01:19:35 -0500 (EST)
*Sender*: owner-wri-mathgroup at wolfram.com
In a message dated 2/1/02 4:21:58 AM, paolo at mle.media.mit.edu writes:
>My question concerns plotting a parametric surface with ParametricPlot3D
>together with a parametric curve lying on the same surface. I believe
>it should be possible to plot these two objects with the same
>ParametricPlot3D command, but I can't get them to display together.
>
>
>g [x_,y_] := Exp[-((x-1)^2+(y-1)^2)];
>h[x_] := Sqrt[x];
>ParametricPlot3D[ { {x,y,g[x,y]},{x,h[x],g[x,h[x]], Thickness[0.15]}
>},
> {x,0,3},{y,0,3} , Shading * False];
>
>The above command displays only the surface. Inverting the order in
>which the two objects are listed does not change anything. In both
>cases only the surface is visible:
>
>ParametricPlot3D[ { {x,h[x],g[x,h[x]], Thickness[0.01]},
> {x,y,g[x,y]} },
> {x,0,3}, {y,0,3} ];
>
>The following command plots the curve alone:
>
>ParametricPlot3D[ { {x,h[x],g[x,h[x]], Thickness[0.01]} },
> {x,0,3} ];
>
>
>Is there any way to display both so the curve is cleary visible on top
>of the surface?
>
Needs["Graphics`Graphics`"];
Needs["Graphics`Colors`"];
g[x_,y_]:=Exp[-((x-1)^2+(y-1)^2)];
h[x_]:=Sqrt[x];
A slight offset is used to keep portions of the curve from being
hidden by the surface
DisplayTogether[
ParametricPlot3D[{x,y,g[x,y]},{x,0,3},{y,0,3},
Shading->False],
ParametricPlot3D[{x,h[x],g[x,h[x]]+0.004,
{Red,AbsoluteThickness[2]}},{x,0,3}],ImageSize->400];
or
DisplayTogether[
Plot3D[g[x,y],{x,0,3},{y,0,3},Shading->False,
PlotPoints->20],
ParametricPlot3D[{x,h[x],g[x,h[x]]+0.004,
{Red,AbsoluteThickness[2]}},{x,0,3}],ImageSize->400];
Bob Hanlon
Chantilly, VA USA
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