What are some chess variants where games can go forever?
Crazyhouse? Bughouse? Something else? Or can none go forever because of the repetition rule?
Crazyhouse? Bughouse? Something else? Or can none go forever because of the repetition rule?
A chess game can be unbounded but can not truly be infinite: almost everything in the universe is finite.
As for a very long chess variant game, it is certainly possible..but it will not be unreasonably long, unless it is an engine vs engine game since people have other things to do and can not afford to play one chess game for too long.
As for a very long chess variant game, it is certainly possible..but it will not be unreasonably long, unless it is an engine vs engine game since people have other things to do and can not afford to play one chess game for too long.
Antichess with the features of CrazyHouse for sure.. it let the run bishop foevaaaaa.
#3 Antichess with captured pieces allowed to place back on the board may be very intense and one-sided since one side can place a piece almost everywhere which makes a forced capture sequence easier.
"Chess Variants With Infinite Game Possibilities?" is the topic cat. Mission accomplished!
isn't chess already infinite (theoretically infinite)? (1. Nc3 Nc6 2. Nb1 Nb8...)
quantum chess XDD
#6 nope. Threefold repetition will kick in if you keep repeating it.
Thinking of the craziest variants where all hell can beak loose and only consider threefold repetition and 50move rules and 64 square board. If you have something like 32 pieces and 64 squares you could arrange them in like 4.8e+53 (that's 48 followed by 52 zeros) ways on the board. Any more or less pieces and the number of possible arrangements goes down. Now you can multiply that by three and get the maximum number of positions that would definitely end in three fold repetition. That would be around 1.4e54 possible positions.
So now let's say we start trading off pieces. (Or let's get crazy and add pieces the maths and result would be similar very similar) Now we would need to calculate the possible positions for 31, 30, 29... 0 pieces (Or 33, 34... 64). To simplify we simply multiply the 1.4e54 by factorial of 32.
Hey let's also consider the 50move rule and multiply by 49 every time we trade off a piece or add a piece. So we need to further multiply by 49^32
Now the absolute maximum number of possible moves in the most loosely defined chess variant with the two drawing rules above would be no more than:
(64! / 32!) * 3 * 32! * 49^32 = 4.6e+143 which is approximately a lot.
Thinking of the craziest variants where all hell can beak loose and only consider threefold repetition and 50move rules and 64 square board. If you have something like 32 pieces and 64 squares you could arrange them in like 4.8e+53 (that's 48 followed by 52 zeros) ways on the board. Any more or less pieces and the number of possible arrangements goes down. Now you can multiply that by three and get the maximum number of positions that would definitely end in three fold repetition. That would be around 1.4e54 possible positions.
So now let's say we start trading off pieces. (Or let's get crazy and add pieces the maths and result would be similar very similar) Now we would need to calculate the possible positions for 31, 30, 29... 0 pieces (Or 33, 34... 64). To simplify we simply multiply the 1.4e54 by factorial of 32.
Hey let's also consider the 50move rule and multiply by 49 every time we trade off a piece or add a piece. So we need to further multiply by 49^32
Now the absolute maximum number of possible moves in the most loosely defined chess variant with the two drawing rules above would be no more than:
(64! / 32!) * 3 * 32! * 49^32 = 4.6e+143 which is approximately a lot.
Antichess, but captures are not mandatory. No 50-move rule. Players play forever or until tired.
#9 This should still be possible to win, but only by stalemating.
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