Here is a great place to start for visualizing rotation as it relates to waveforms or space/time oscillations:
That appears to be only a singular rotation. I would not qualify it as a birotation because the dimensions are not reduced to a waveform--you still have an area, with a point on a curcumference tracing a waveform. With Nehru's counter-rotations, the area collapses to a wave, via the Euler relations.
Though it may be a good analog of the concept of "rotational vibration."
Recently I found this representation of so-called "Tusi-couple" - a mathematical device proposed by 13th century Persian astronomer Nasir al-Din Tusi:
http://upload.wikimedia.org/wikipedia/commons/b/b4/Tusi-couple.gif
Here we have two rotational motions - the second having its center upon the periphery of the first one's circle, then a point from the periphery of the second circle performs a simple harmonic motion upon the diameter of a twice bigger circle containing them both.
Can this be seen as model of birotation too?
Interesting - this can be an alternative explanation of the value of the fine structure constant.
Curiously in his "asymmetric causal mechanics" the Russian astronomer Nikolay Kozyrev also proposed the existence of such physical quantity called "course of time" which distinguishes cause from effect in mechanical interactions. It is represented as pseudo-scalar quantity defined by the ratio of the very small, but non-zero spatial and temporal intervals between the points of cause and effect (i.e. assuming that mechanical interaction is not instantaneous in contrast to the notions of Newtonian mechanics) and so it has dimension of velocity. Kozyrev's experiments have shown it to have a value of about 1/137 from the speed of light and he correlates this with the fine structure constant. The pseudo-scalar quantity of the "course of time" is interpreted as linear velocity of rotation in a plane perpendicular to the axis between the points of cause and effect and this seems to me very similar to the notion about the "time region" in RS2.