Plain DSN is good for describing some things, but it doesn't distinguish between a things like a tick-tock and a helicopter, and can't describe the saw at all. It covers only one axis of rotation - the one the devilstick spins around during the tick-tock. DSN-3D extends the language to handle the other orthogonal axes.
Motion in three-space can be described in the context of x, y, and z axes. For DSN-3D, the axes are defined as follows:
To indicate motion in one of the planes, simply use the name of the axis followed by a DSN sequence.
Here are a few selected tricks from Jim Barlow's collection along with the DSN-3D that describes them. You should also look at the examples for plain DSN.
Z: 1 0
Z: -1 Y: 1
Z: 0 n Y: 1 n
Z: 1 1 -1 Y: 1 1 1