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As everyone's probably realised by now, Dice Chess is quite random. It's not bad to have a game where even a very weak player has a reasonable chance of beating a very strong player. However, if you really want to find out who's better, you have to play two- or even three-win matches. So I think people might be interested in a game that would use the general idea of Dice Chess but wouldn't leave so much to chance.
There has already been proposed a variant of Dice Chess where the player on the move rolls two dice (as long as there are legal moves with at least two kinds of pieces), and gets to choose which one he wants to move with. I think that would be very interesting to play. (We could call it Two Dice Chess, unless it already has a name which I don't know.) But to me a different idea occurred just recently.
I propose a Dice Chess variant which could be called, for instance, Three Kings Dice Chess. The game is started with two extra pieces – white kings on a3 and h3, and black kings on a6 and h6. To win the game, a player has to capture all the opponent's kings. A pawn can be promoted into a king. Everything else is like in Dice Chess.
Apart from requiring at least three captures instead of just one, this variation would also have the advantage of blocking the pawns a and h in the initial position which would certainly make the opening strategy more challenging.