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There is a separate entry, on here, that looks at the way can be unbounded, and could produce an infinite number of variants, based on a change in how he rules are set up. I will have to ask whether or not turn-order is finite or infinite. It might be show that a player moving N moves in a row, could always win a game. This would then put a natural boundary, and would not be infinite.
You can find that thread here:
http://www.chessvariants.org/index/listcomments.php?subjectid=UnboundChessList
This then points to the Chess of Tomorrow Project Wiki site entry here:
http://chessvariants.wikidot.com/forum/t-51667/chess-of-tomorrow-project-who-is-interested#post-140383
So, the idea of this part of the Chess of Tomorrow Project is to look at what elements of chess would be able to produce a Calvinball (never play with the same rules twice) Chess, verses being finite.
I welcome any other people to contribute here to input into this and see what may or may not fit. The Wikidot entry would be appropriate place to go.