ListContourPlot on a torus

ListContourPlot on a torus

Post by eschlem » Sun, 25 Nov 2007 18:14:05


I'm given a real valued function on an (m x n) torus grid (given as a
matrix) which I want to visualize.

It works well will ListContourPlot but now I want to plot to the
actual torus and color its surface according to my function ....

In Mathematica 6, there seem to be some fancy options available for
ParametricPlot3D (like ColorFunction) which might do the trick, but
unfortunately I am only having version 5.2 at the moment.

Can somebody think of an (easy) solution?



ListContourPlot on a torus

Post by dh » Thu, 29 Nov 2007 20:17:37


the manual says: ListContourPlot has the same options like

ContourGraphics. Here we find: ColorFunction.

although I did not try it out, I hope this helps, Daniel


ListContourPlot on a torus

Post by congruenti » Sat, 01 Dec 2007 19:56:18

Hello Eckhard:

Another option to explore is the ListContourPlot3D[] function. This is
apparently valid in V5 in the Graphics`ContourPlot` package.
Interestingly, the DocCtr in V6 lists this as "new in V6". Maybe it
has some new behaviors.

Assuming this works I can guess that any z-value can be supplied. Just
evaluate the function at the corresponding points.


Regards..Roger W.