Author Topic: One of my favorite Variants: Blank Chess  (Read 106 times)

John_Lewis

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Re: One of my favorite Variants: Blank Chess
« on: January 28, 2018, 10:14:35 pm »
Agreed! I think the fact that this game will likely not be studied by computers any time soon and the branching structure of the moves exploding so quickly in the early game probably make it one of the most expansive variants around.

Now I have to check your math...

First move 32 moves.
Second move ~32 moves (it's possible that the opposing King was placed on the 4th rank, removing up to 3 squares.)

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((3*8)*(4*8) + (6 * 5) + (2 * 6)) / 2  = 405 (The division by 2 is to remove mirrored positions.)

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(((64/2)-1)*5) + 8 (Half the board, minus one space where the King sits, one of 5 pieces -OR- moving the King is also still an option... in this case I didn't bother do go all the way out to remove illegal moved for the King.) Maybe I'll do that in the morning.

Slightly less than:
405 * 35 = 14175 moves for white on the third move.

Strangely, the number may narrow significantly for Black's second move, based on if the placed piece by White put the Black King in Check.
« Last Edit: January 28, 2018, 10:22:43 pm by John_Lewis »