Re: Draw a 3D surface

• To: mathgroup at smc.vnet.net
• Subject: [mg100686] Re: Draw a 3D surface
• From: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>
• Date: Thu, 11 Jun 2009 07:07:25 -0400 (EDT)

```I intend to draw a 3D surface, which is defined in a tricky way. Given
function f(x, y), the values of f are known but the range is
determined by a function of y, g(y). I need to plot x as a function of
y and f within the range determined by g(y). Can anybody help?
Appreciate!

Jun Lin

Hi, Jun,
I do not really understand, what do you mean with range determined with g(y). You should probably explain it in more details.

Concerning the first part of your question, here is the most simple answer: draw the f=f(x,y)surface using say, Plot3D,
and then rotate the graph with the mouse such that the Ox axis is directed upwards. ?? Or rotate it programmatically using
Rotate function.

If you need it upwards at once (this may be useful for example, if you need to programmatically include some other
graphics together with this plot), the following may help:

ParametricPlot3D[{y, Sin[x*y], x}, {x, -1, 1}, {y, -1, 1}, AxesLabel -> {"y", "f", "x"}]

I took here the function f=sin(xy) to be concrete.

Have success, Alexei

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Alexei Boulbitch, Dr., habil.
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