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: 8x8 board, 12 pieces per side, no flying kings, men cannot capture backwards, black moves first.
- What is the theoretical maximum number of black kings that could be occur in a game?
- 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)
- What is the theoretical maximum total number of kings (both colors) that could occur in a game?