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Sunday, April 13. 2008
Fourmate (game proposal)
Another very nice game idea from Andy Lewicki is the subject of today's entry.
Name of the game: Fourmate (or Fourmation, which one is better?)
Rules: (a combination of several different games)
BORROWED from Fisher Random Chess:
- initial position (random), without pawns.
- no castles
- no "killing" other pieces
- no checks
BORROWED from 4(5) in line:
- players trying to arrange exactly 4 (no 5, 6, ...) of their pieces either in a row (horizontally, vertically or diagonally) or in a square 2x2.
- above formation MUST NOT have more than 2 pieces on player's half of the board.
BORROWED from Connect 6:
- white moves first ONE of his pieces anywhere on the board according to chess rules.
- black moves TWO of his pieces anywhere on the board but these two pieces cannot touch each other, they have to be at least one squares apart.
- white moves again ONE of his pieces anywhere.
... and so game continues this way.
GOAL:
The player who assembles 4 pieces (exactly) as a first in a way prescribed above, becomes the winner.
I am always glad to see a new idea which is based on Chess but does not require real Chess playing skills. And I am sure that everybody can learn how to move Chess pieces.
Name of the game: Fourmate (or Fourmation, which one is better?)
Rules: (a combination of several different games)
BORROWED from Fisher Random Chess:
- initial position (random), without pawns.
- no castles
- no "killing" other pieces
- no checks
BORROWED from 4(5) in line:
- players trying to arrange exactly 4 (no 5, 6, ...) of their pieces either in a row (horizontally, vertically or diagonally) or in a square 2x2.
- above formation MUST NOT have more than 2 pieces on player's half of the board.
BORROWED from Connect 6:
- white moves first ONE of his pieces anywhere on the board according to chess rules.
- black moves TWO of his pieces anywhere on the board but these two pieces cannot touch each other, they have to be at least one squares apart.
- white moves again ONE of his pieces anywhere.
... and so game continues this way.
GOAL:
The player who assembles 4 pieces (exactly) as a first in a way prescribed above, becomes the winner.
I am always glad to see a new idea which is based on Chess but does not require real Chess playing skills. And I am sure that everybody can learn how to move Chess pieces.
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sounds like a lot of fun. Though why does black make 2 moves is that not almost the same as if he went first?
Comment (1)
there is always problem with the first player having an advantage ... look at Five in a row, Reversi, Chess, and basically any other game ... even hyper backgammon, when played correctly, is always win for the first player ... the only test is to play lots of games ...
I corrected Cheversi's rules to overcome this problem and now this game has almost equal chances for both players (statistics still shows the old results, though).
You are right, it's almost the same as going first, but only almost.
As I always say, games evolve over time and some rules are subject to modification. There may be a time that we would have to look closer at the starting sequence of this game.
Thanks for your comments.
Andy.
I corrected Cheversi's rules to overcome this problem and now this game has almost equal chances for both players (statistics still shows the old results, though).
You are right, it's almost the same as going first, but only almost.
As I always say, games evolve over time and some rules are subject to modification. There may be a time that we would have to look closer at the starting sequence of this game.
Thanks for your comments.
Andy.
Comments (3)
You really believe that hyper gammon, if played correctly the first to play should win every game?
That surprises me!
That surprises me!
Comment (1)
some games are SOLVED, it means played perfectly, and the first player ALWAYS wins ... Othello(Reversi) has been solved, Gomoku (5 in a row) has been solved, same for Hyper Backgammon and probably many others ... I am not mathematician but you have to believe someone, or not ?
Checkers has been solved and played perfectly is always DRAW ...
look at these links:
http://www.bkgm.com/rgb/rgb.cgi?view+1110
http://en.wikipedia.org/wiki/Solved_board_games
Regards,
Andy.
Checkers has been solved and played perfectly is always DRAW ...
look at these links:
http://www.bkgm.com/rgb/rgb.cgi?view+1110
http://en.wikipedia.org/wiki/Solved_board_games
Regards,
Andy.
Comments (3)
Hyper Backgammon being played "perfectly" results in a win for player 1??? How can you say that? In the extreme case that player 1 gets 1's and 2's every roll, and player 2 gets double 6's, I don't care how perfect player 1 plays, he/she isn't going to win. 
I see your point on the other examples though. But I think you are mistaken about Hyper Back.
I see your point on the other examples though. But I think you are mistaken about Hyper Back.
Comment (1)
I tested FOURMATE on a real board and it plays very well .. here are the latest findings and solutions:
1. Initial setup for both sides should be random for each separately... so it's a departure from Random Fisher setting where like pieces face each other ...
2. Two moves for black has been abolished since it doesn't add anything to the subject of equal chances for both sides ... so, white starts with one move, black follows with one etc ...
3. I keep one interesting opition for later development and it's SWAP version ... exactly like in 5 in a row ...
***
regars, Andy.
1. Initial setup for both sides should be random for each separately... so it's a departure from Random Fisher setting where like pieces face each other ...
2. Two moves for black has been abolished since it doesn't add anything to the subject of equal chances for both sides ... so, white starts with one move, black follows with one etc ...
3. I keep one interesting opition for later development and it's SWAP version ... exactly like in 5 in a row ...
***
regars, Andy.
Comments (3)
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