OK - Yes, it's a Lissajous figure. Didn't think to include the obvious.
Approximate frequency ratio determined by the number of points of contact on two adjacent sides of a rectangular box containing the figure. Actual frequency ratio will include the speed of 'shift'.
My first sighting of such was in the logo for the ABC (Australian Broadcasting Commission) television station (VHF Channel 2 in Sydney, in the day.)
A little bit more stylised these days:
