I am trying to organize a boardgame tournament among friends and to set the matchups. Here's the format:
8 total players
4 players per game
I want each player to play exactly 2 games
I want each player to play every other opponent at least once but not more than twice.
The best I can come up with is this:
1 2 3 4
5 6 7 8
1 2 7 8
3 4 5 6
1 3 6 8
2 4 5 7
1 4 5 6
2 3 7 8
However, 4 and 5 play each other 3 times, and 4 never play against 8. I try to tweak the matchups here and there but I can never get it to work. Any idea appreciated
8 total players
4 players per game
I want each player to play exactly 2 games
I want each player to play every other opponent at least once but not more than twice.
The best I can come up with is this:
1 2 3 4
5 6 7 8
1 2 7 8
3 4 5 6
1 3 6 8
2 4 5 7
1 4 5 6
2 3 7 8
However, 4 and 5 play each other 3 times, and 4 never play against 8. I try to tweak the matchups here and there but I can never get it to work. Any idea appreciated
