Arnold Winkelried
02-06-2011, 04:18 PM
For my son's birthday last year I made him a Lego chessboard. Now I want to make checkers pieces so that we can play checkers also.
Each checker piece will be a lego piece, and when the piece becomes a king, we'll have some Lego bling to put on top to mark it as a king.
There will be black and white pieces.
I know how many pieces to make, but how many kings do I need to provide for?
To be more specific: let's assume a game of English-rule draughts/checkers (http://www.worldlingo.com/ma/enwiki/en/Draughts): 8x8 board, 12 pieces per side, no flying kings, men cannot capture backwards, black moves first.
1) What is the theoretical maximum number of black kings that could be occur in a game?
2) What is the theoretical maximum number of white kings that could be occur in a game? (I suppose this is the same as 1, but maybe not)
3) What is the theoretical maximum total number of kings (both colors) that could occur in a game?
Each checker piece will be a lego piece, and when the piece becomes a king, we'll have some Lego bling to put on top to mark it as a king.
There will be black and white pieces.
I know how many pieces to make, but how many kings do I need to provide for?
To be more specific: let's assume a game of English-rule draughts/checkers (http://www.worldlingo.com/ma/enwiki/en/Draughts): 8x8 board, 12 pieces per side, no flying kings, men cannot capture backwards, black moves first.
1) What is the theoretical maximum number of black kings that could be occur in a game?
2) What is the theoretical maximum number of white kings that could be occur in a game? (I suppose this is the same as 1, but maybe not)
3) What is the theoretical maximum total number of kings (both colors) that could occur in a game?