Example 3: A 3D map with trajectories on the surface of a cone

The following is a sample Mathcad worksheet that defines, iterates and plots a trajectory of a mapping

F(x,y,z) = [f1(x,y,z), f2(x,y,z), f3(x,y,z)]

of the three dimensional Euclidean space.

Remark: If Mathcad is installed on your machine, click here to run the file for this example; the file may be modified (e.g., change a parameter's value) and recalculated once it appears in your browser.

Bear in mind that operations such as changing coefficients of the mapping g or rotating a graph are possible only if you are running these commands in the Mathcad (see above Remark).

The above graph is created by clicking the "3D scatter plot" from the menu and once the empty plot structure appears, fill in the blank in the bottom left corner with the coordinates used in the preceding commands.


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