How is 'stereo' created by just one single stylus?

Hi Everyone, an analog technical question!  I am hoping one of our more knowledgeable members can explain how one lone stylus (diamond or other) tracking in a record groove can create stereo?  I understand there are two sets of sound waves, one on each side of the record groove (left bank and right bank if you will), and two moving coils or magnets in a cartridge to create a tiny electrical signal; but only one stylus is vibrating back and forth tracking the imprinted sound waves.  I just can not picture how separation for stereo occurs.  I was pondering this while listening to a MFSL 200 gram Anadisc of Jean Michel Jarre - Oxygene.......The sound is shooting 'side to side' with no effort, delay, or overlap.  Thank you for your help!   Not trying to solve any problem, just wanting to learn and understand better.
Quick answer: The stylus moves up and down but also side to side. So the two coils at the end are excited differently.
I remember back in the 70s when quadraphonic receivers were being produced. My question to those considering such an approach was, 'How many sides does a record grove have?' Seemed to be way too much electronic processing for me.

Sorry for the drift. 
stevecham....this one did it!  Thanks for the link.  The animation helped perfectly!  I appreciate the enlightenment!  Happy New Year!!