Chess and/or checkers in polar coordinates?

[MDJH]

I'm not very familiar with checkers, and even less so with chess. But after I heard of polar coordinates (has to have been more than half a year ago now) and its nature of being analogous to rectangular ones... I imagined, would you be able to play a game that uses a rectangular-coordinate grid... whether chess, or checkers, or something else... on a polar-coordinate grid?

[Bignose]

something like http://www.chessvariants.com/shape.dir/circular.html ?