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MathGroup Archive 2000

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Contour curves & sections onto a surface

  • To: mathgroup at smc.vnet.net
  • Subject: [mg22136] Contour curves & sections onto a surface
  • From: Murray Eisenberg <murray at math.umass.edu>
  • Date: Wed, 16 Feb 2000 02:34:56 -0500 (EST)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • Sender: owner-wri-mathgroup at wolfram.com

Want to plot a surface, graph of f[x, y], and then, on the surface,
draw:

  (1) at the actual z-height, the contour curve for that height; and/or

  (2) at the actual value x = x0, draw on the curve the section
("slice") of the curve f[x0, y] (and similarly for fixing y = y0).

I know how to do all that, I think.  But I want the result to look just
right.  To do that, the curves have to be a different color, or possibly
thicker, but -- most important -- be displaced a bit from the actual
surface so as to be distinctly visible.

Somewhere -- in this newsgroup, on the Wolfram web site, in a
Mathematica book, or in one of journals (Mathematica in Research and
Education, The Mathematica Journal) -- I once saw a very cleanly done
implementation that produces very nice results.

Can anyone supply a pointer to that?

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.       phone 413 549-1020 (H)
Univ. of Massachusetts                     413 545-2859 (W)
Amherst, MA 01003-4515


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