How to do 3D plot of vertical planes?

Loren Gibson

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May 1, 1998, 3:00:00 AM5/1/98

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Can anyone suggest to me a method for plotting a surface which is a
vertical plane, such as x=5, x+y=0, the xz plane, etc.? It appears to
me that most of the typical methods of plotting 3-D surfaces don't lend
themselves well to vertical planes. TIA.

--
Loren J. Gibson
ljgi...@csi.com

dwcp

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May 5, 1998, 3:00:00 AM5/5/98

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G'day,

Try this...

ParametricPlot3D[{5, y, z}, {y,-5,5},{z,-5,5}]

.... to get the plane x=5.

Here's what Mathematica says:

In[1]:= ?ParametricPlot3D
ParametricPlot3D[{fx, fy, fz}, {t, tmin, tmax}] produces a
three-dimensional
space curve parametrized by a variable t which runs from tmin to
tmax.
ParametricPlot3D[{fx, fy, fz}, {t, tmin, tmax}, {u, umin, umax}]
produces a
three-dimensional surface parametrized by t and u.
ParametricPlot3D[{fx,
fy, fz, s}, ... ] shades the plot according to the color
specification s.
ParametricPlot3D[{{fx, fy, fz}, {gx, gy, gz}, ... }, ... ] plots
several
objects together.

-David.

--
David Pearson, Phone: +44 (0)118 9318741 ESSC,
Fax: +44 (0)118 9316413 University of Reading,
Reading RG6 6AL, Email: dw...@mail.nerc-essc.ac.uk UK.

Seth Chandler

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May 5, 1998, 3:00:00 AM5/5/98

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The command you're missing is ParametricPlot3D, which creates the sort
of Graphics objects you need.

The x=5 plane can be produced by
ParametricPlot3D[{5,y,z},{y,-5,5},{z,-6,6},PlotPoints->2]. the x+y=0
plane can be produced by
ParametricPlot3D[{-y,y,z},{y,-5,5},{z,-6,6},PlotPoints->2]. The
PlotPoints->2 option just make the graphic object more plane-like
instead of looking like a bunch of vertical polygons.

Bruce Wolk

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May 5, 1998, 3:00:00 AM5/5/98

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On 1 May 1998 03:02:13 -0400, "Loren Gibson" <ljgi...@csi.com> wrote:

>Can anyone suggest to me a method for plotting a surface which is a
>vertical plane, such as x=5, x+y=0, the xz plane, etc.? It appears to
>me that most of the typical methods of plotting 3-D surfaces don't lend
>themselves well to vertical planes. TIA.
>
>--
>Loren J. Gibson
>ljgi...@csi.com

How about the following for the x+y=0 case.

In[25]:=
ParametricPlot3D[{x,-x,z},{x,-2,2},{z,-2,2}]

You may want to spruce it up with some color.

Cheers, Bruce

Allan Hayes

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May 5, 1998, 3:00:00 AM5/5/98

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In article <6ibs1l$t...@smc.vnet.net>, "Loren Gibson" <ljgi...@csi.com>
wrote:

>Can anyone suggest to me a method for plotting a surface which is a
>vertical plane, such as x=5, x+y=0, the xz plane, etc.? It appears to
>me that most of the typical methods of plotting 3-D surfaces don't lend
>themselves well to vertical planes. TIA.

Loren,
If you are using
Plot3D[expr,{x,xmin, xmax}, {ymin, ymax}] you might try
ParametricPlot3D[{x,y, expr},{x,xmin, xmax}, {ymin, ymax}]

Allan Hayes: Training and Consulting Leicester, UK
h...@haystack.demon.co.uk
voice: +44 (0)116 271 4198
fax: +44 (0)116 271 8642

Bill Bertram

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May 5, 1998, 3:00:00 AM5/5/98

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Loren Gibson wrote:
>
> Can anyone suggest to me a method for plotting a surface which is a
> vertical plane, such as x=5, x+y=0, the xz plane, etc.? It appears to
> me that most of the typical methods of plotting 3-D surfaces don't lend
> themselves well to vertical planes. TIA.

You could try ParamericPlot3D. I don't know if it will do everything you
want, but for the simple examples you have given it seems OK. For
example, the x-z plane can be drawn with,

sxz=ParametricPlot3D[{u,0,v},{u,-5,5},{v,-5,5}];

and the plane x+y==0 is simply,

ss=ParametricPlot3D[{-u,u,v},{u,-5,5},{v,-5,5}];

You can then combine these using, Show[sxz,ss];

Hope this helps,
Bill

Vince Giambalvo

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May 7, 1998, 3:00:00 AM5/7/98

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Is there an easy way to put in mesh/grid lines on a contour plot? I can
do it by adding lots of equations of the form x == n and y == n for
wherever I wnat the lines to be, but that is slow and ugly.

Vince