Back in Chapter 1, Plotting Curves, Boxes, Points, and more, we used parametric plotting to make graphs of complicated 2D paths. We can do the same thing in 3D to draw a complex curve in space.
This might be thought of as a 3D Lissajous figure. The path intersects itself at several places.
Following is the code for the previous figure:
set samp 100 set xtics .4 set ytics .4 set parametric set urange [-pi:pi] set ztics 1 splot cos(u),sin(3*u),cos(5*u) lw 2
Note that the appearance of the plot will change radically depending on the viewpoint.
In exploring parametric plotting in 2D in Chapter 1, Plotting ...