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Aug 18, 2017 at 18:23 comment added tomoka kazuki There is another website (CVP) where infinite chess is described with only the standard set of pieces (and quantity), but I have not seen it played. The discussion ended with a proposed rule where pieces that are stranded (too far away) are considered captured. fyi: Your question is very intriguing and well-posed. I up-voted it, but due to my beginner reputation my vote doesn't affect the posted score.
Aug 18, 2017 at 18:22 comment added tomoka kazuki All the variant games I've seen add at least a few other pieces. They are usually "constructed" with regular pieces (i.e. "guard" moves as "king", and "chancellor" moves as "rook + knight"). I believe that players can move pieces arbitrarily far, although I've seen it argued that very long moves correlate with inaccurate play, so doesn't happen in well-played games. (One said there is "nothing of interest" far from the other pieces).
Aug 18, 2017 at 17:48 comment added Dennis I also wish they explained the rules a bit better there. "All pieces move as in classical chess." Does this mean that moves are finite, or that, e.g., a rook can move indefinitely far in any direction (since there's no edge to block movement)? Are infinite moves allowed?
Aug 18, 2017 at 17:45 comment added Dennis Again, my concern wasn't really about who was "talented" or "notable", but just whether there had been chess-centric study of the variant in addition to the mathematical research I'm familiar with. It looks like the variant on that page adds additional pieces with different movement rules. Do you know if this is the case generally for the played variants of infinite chess? If so, then it seems to be substantially different from simply "chess on an infinite board". Interesting nonetheless, though. Thanks for bringing it to my attention!
Aug 18, 2017 at 17:41 history edited tomoka kazuki CC BY-SA 3.0
omit superfluous word.
Aug 18, 2017 at 17:05 comment added tomoka kazuki Granted - it's a subject of opinion, but I feel that one who has generalized their game-playing skills and can demonstrate it by winning games has a provable skill set, whereas a mathematician does not formally "compete" against others, and so his notability would be subject to opinion.
Aug 18, 2017 at 17:05 comment added tomoka kazuki There seems to always be at least a few games of infinite chess being played at this website: chess.com/forum/category/chess960-chess-variants My point is not that players in infinite chess have become exceptional when judged on a worldwide game-playing status; but some are exceptional in their field (albeit a niche in the class of chess-like games). In the same way, some mathematicians have become prominent in the study of infinite chess, but this too is a niche in the class of mathematics. So who is to say one is more notable or more prominent than the other?
Aug 18, 2017 at 15:31 comment added Dennis Also, how is it possible for these websites to implement infinite chess? Even assuming the board is only countably infinite, there would still be arbitrarily large finite moves possible. Is it just a board with no determined edge but some small-ish bound on move distance?
Aug 18, 2017 at 15:28 review Late answers
Aug 18, 2017 at 15:50
Aug 18, 2017 at 15:19 comment added Dennis Could you provide some references to these websites, and further resources you've based this answer on (like some of these players with "exceptional talent")? If these exceptional players deserve more attention I'd appreciate you bringing them to my attention. Note, also, that I made no claim about "talent". The question was just who studies this variant: mostly mathematicians (as I am familiar with) or chess players as well?
Aug 18, 2017 at 15:12 history answered tomoka kazuki CC BY-SA 3.0