(i + 1)d6

Yeah, that's right. This game not only requires an imaginary die, but also the wholesale creation of one. Maybe multiple. Will the one you all start with survive the gauntlet of your fellow players? Might you be its demise?

Everyone holds a weapon--one to be used on any hapless imaginary die that finds itself I N V A L I D A T E D! 

This is my barest framework for an imaginary dice game, and I am extremely open to folks taking this concept and building on it drastically :). In fact, I encourage it! Especially since right now, the actual gameplay is you moving down a linear path that you draw on a piece of paper at the beginning, lol. 

But hey, maybe that's part of the fun! The focus, after all, is on the realm of the imaginary :p.

Also, if you take the magnitude of this complex number, there aren't 2 dice, but square root of 2 dice.