Cross sections of 3D figures
- Subject: [mg3014] Cross sections of 3D figures
- From: easther at cfi.waseda.ac.jp (Richard EASTHER)
- Date: 22 Jan 1996 06:04:48 -0600
- Approved: usenet@wri.com
- Distribution: local
- Newsgroups: wri.mathgroup
- Organization: Centre for Informatics, WASEDA University
- Sender: mj at wri.com
Hi! I am trying to find a way to take a 2d cross section
of a complicated 3d surface in Mathematica.
A long as the figure is single valued in the Z-direction
it is comparatively simple - I can just do a contour
plot and select the contour that corresponds to the
particular value I am interested in.
However, I am not so fortunate: the object is multi-valued
in the Z-direction and is specified parametrically, both
of which thwart the contour plotting.
I can get a rough result by plotting the figure with the
PlotRange option for the Z-axis set just above and below
the value of z where I want to take the cross section,
and choosing the BoxRatios to be {1,1,0}.
However if there is a more elegant solution (either a
package or a built in command I have overlooked) it
would be great to hear about it!
Richard
PS I know I could solve numerically for the values of x
and y where the figure cuts the plane that defines the
cross-section, but I have not been able to find an
efficient way of doing this within Mathematica and want
to avoid doing it with an external Fortran program if
possible.
+=================================================================+
| Richard Easther No quote - just my address |
| easther at cfi.waseda.ac.jp |
+=================================================================+
--