14 players, 2 divisions, 3v3; All players play with & against equally

[mccjamb]

Help!

I'm planning a volleyball tournament for 14 players in 2 divisions. 1 game court for each division. Games will be 3v3. In each division each player must play against and with each other player the same number of times.
In the end, the top 3 of each division would play each other in a Championship game.
Preferably, there would be no more than 6 rounds (but 7 would be ok if 6 is impossible, just not preferred).

Would greatly appreciate some assistance is how this could work as I'm at a loss at this point.

Recap:
- 14 players, 2 divisions of 7 players
- 2 courts (1 for each division)
- 3v3 w/ 1 player bye each round
- Each player plays with each other same number of times 
- No more than 7 rounds
Thanks for any assistance!

[Ian Wakeling]

As the tournament has one player with a bye each round, there must be a multiple of 7 rounds if everyone is going to have the same number of byes, and therefore play in the same number of games.   So 7 rounds is a much better choice than 6.  The following should works for one division of 7:


(1 2 4)  v  (3 6 5)
(2 3 5)  v  (4 7 6)
(3 4 6)  v  (5 1 7)
(4 5 7)  v  (6 2 1)
(5 6 1)  v  (7 3 2)
(6 7 2)  v  (1 4 3)
(7 1 3)  v  (2 5 4)


where player pairs partner twice and oppose 3 times.

[mccjamb]

Thanks much!