       3D volume function

• To: mathgroup at smc.vnet.net
• Subject: [mg2100] 3D volume function
• From: Stefan Schulz <sschulz at chemie.fu-berlin.de>
• Date: Fri, 29 Sep 1995 01:15:56 -0400

```Dear MATHEMATICA whizards,

I have used ImplicitPlot3D in the following context

<< ImplicitPlot3D.m

alpha = 0.2

ImplicitPlot3D[(128*alpha^5/Pi^2)^(1/4)*
z^2 Exp[-2*alpha*(x^2+y^2+z^2)] == 0.01,
{x,-3.0, 3.0}, {y,-3.0,3.0}, {z,-4.0,4.0},
PlotPoints->{{4,4,4},{4,4,4},{2,2,2}},
AxesLabel->{x, y, z},
Axes -> True,
Mesh -> True,
PlotRange->{{-4,4},{-4,4},{-5,5}}]

which gives me a rather nice surface in three-dimensional
space. Is there a similar package available for calculating
the volume enclosed by such implicitly defined surfaces
(maybe even called ImplicitVolume3D.m) ?

Thanks for any help or helpful hints on this subject in advance.

Regards

Stefan Schulz

=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
|                              |            Stefan Schulz             |
| sschulz at chemie.fu-berlin.de  | FU Berlin - Theoretical Chemistry    |
| Tel. ++49/30/838 5384 (2351) |            Takustrasse 3             |
| FAX. ++49/30/838 4792        |           D-14195 Berlin             |
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
--=_AABcYQAAIrUwag2j--

```

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