Round robin with 4 pools of 4 players

[John_Salmon]

I was wondering if you can help me

I want to run a round robin tennis comp. with 16 players playing in pools of 4
So 1st night players 1,2,3 and 4 will all play each other, 5,6,7,8 play each other and so on
On the 2nd night the pools will be rearranges
There will be 5 rounds as each player plays 3 of their 15 opponents each night
I can only get to 3 rounds, in the 4th round I can not get 4 pools of players that haven't all played each other before

Any help would be greatley appreciated

[Ian Wakeling]

Use the large table at the bottom of this message board thread.  If you number the players 0 to 15, then the first 5 rows labelled 'Part. 0' become pool assignments for the 5 nights of the tournament. If subsequently the round-robin is repeated with the same 16 players, then use a different partition each time from the 7 available, this will make sure that no subset of 3 players ever meet together in a pool more than once.