Posted on Dec 3, 2014
by Dr. Saeid Nourian
Contour graphs are very useful in 3D because they make it easier
to visualize and compare the z-elevation of the graphs at various
regions. The new version of Graphing Calculator 3D makes it incredibly
easy to add contour lines to your 3D graphs.
For those who are not familiar with it, Graphing Calculator 3D is a powerful
math graphing software that can generate high quality 3D graphs. Unlike
Matlab and Mathematica, this software has an easy-to-use intuitive user
interface that does not require scripting.
3D contour graphs of explicit functions
To plot the 3D contour graph of z=2sin(x)+sin(y)-x simply type it down
as shown below, then add the contour lines by selecting "Contour" from
the draw-style options.
You can adjust the thickness of the contour
lines via the thickness slider. You can also change the color of the
contour lines by clicking on the white box in front of it.
3D contour graphs of implicit equations
Plotting contour graphs of implicit equations follows the same steps
as above. First plot your desired implicit equation by selecting
"Implicit" from the equation-type options and typing your implicit
equation. Then select "Contour" as draw-style.
Change frequency of contour lines
You can control the number of plotted contour lines along z-axis by
modifying the axis settings. The software will always plot one contour
line per z-division, so by increasing and decreasing the number of z-axis
divisions you can control the number of visible contour lines.
Download 3D contour grapher
download 3d contour grapher and try the above examples in it.