Do you account for not putting right handed people to the right of left handed people? But then maybe you do, if you want to play match maker. So many (imagined) social conditions here. Like A likes B, but B hates A. C and D should meet. E and F are a couple, but F and G broke up in college so it's awkward. H and I are divorced but still on good terms so it's OK. etc.
How do you do that on a circular table? Or are you suggesting some sort of handness aparatheid, with all the lefties on one table?