Tournament Formats

12 Teams
  Pool A   Pool B   Pool C  
Round 1 1 v 12 6 v 7 2 v 11 5 v 8 3 v 10 4 v 9
Round 2 1 v 7 6 v 12 2 v 8 5 v 11 3 v 9 4 v 10
Round 3 1 v 6 7 v 12 2 v 5 8 v 11 3 v 4 9 v 10
  Winner's Pool Losers' Pool
Round 4 A1 v B2 B1 v C1 C2 v A2 A3 v B4 B3 v C4 C3 v A4
Round 5 A1 v C2 B1 v A2 C1 v B2 A3 v C4 B3 v A4 C3 v B4
Round 6 A1 v C1 B1 v C2 B2 v A2 A3 v C3 B3 v C4 B4 v A4
Round 7 A1 v B1 C1 v A2 C2 v B2 A3 v B3 C3 v A4 C4 v B4
  Final          
  Pool A     Pool B    
Round 1 1 v 12 4 v 9 5 v 8 2 v 11 3 v 10 6 v 7
Round 2 1 v 9 4 v 8 5 v 12 2 v 10 3 v 7 6 v 11
Round 3 1 v 8 4 v 5 9 v 12 2 v 7 3 v 6 10 v 11
Round 4 1 v 5 4 v 12 8 v 9 2 v 6 3 v 11 7 v 10
Round 5 1 v 4 5 v 9 8 v 12 2 v 3 6 v 10 7 v 11
Semis A1 v B2 A2 v B1 A3 v B3 A4 v B4 A5 v B5 A6 v B6
  Final          

10 Teams

           
Round 1 3 v 7 4 v 9 5 v 10 1 v 6 2 v 8
Round 2 2 v 4 6 v 8 7 v 10 3 v 9 1 v 5
Round 3 3 v 4 6 v 7 5 v 8 1 v 9 2 v 10
Round 4 1 v 2 5 v 7 3 v 8 6 v 9 4 v 10
Round 5 2 v 3 9 v 10 5 v 6 1 v 7 4 v 8
Round 6 1 v 4 7 v 8 2 v 6 5 v 9 3 v 10

Round 7

6 v 10 3 v 5 4 v 7 2 v 9 1 v 8
Round 8 1 v 3 4 v 6 7 v 9 8 v 10 2 v 5
Round 9 4 v 5 8 v 9 3 v 6 2 v 7 1 v 10
Semis 2 v 3 1 v 4 5 v 6 7 v 8 9 v 10
Final 1 v 2        

 

  Pool A   Pool B   Byes
Round 1 4 v 10 5 v 7 2 v 6 3 v 8 1, 9
Round 2 1 v 5 4 v 7 3 v 9 6 v 8 2 v 10
Round 3 1 v 10 4 v 5 2 v 8 6 v 9 3 v 7
Round 4 1 v 7 5 v 10 2 v 9 3 v 6 4 v 8
Round 5 1 v 4 7 v 10 2 v 3 8 v 9 5 v 6
Semis A1 v B2 A2 v B1 A3 v B3 A4 v B4 A5 v B5
  Final        
    Pool A   Pool B   Byes
Day 1 Round 1 1 v 8 4 v 9 2 v 7 3 v 10 5, 6
  Round 2 1 v 5 4 v 8 2 v 6 3 v 7 9, 10
  Round 3 4 v 5 8 v 9 3 v 6 7 v 10 1, 2
  Round 4 1 v 4 5 v 9 2 v 3 6 v 10 8, 7
Day 2 Round 5 1 v 9 5 v 8 2 v 10 6 v 7 4, 3
  Pre-semis q1: a2 v b3 q2: a3 v b2 q3: a4 v b5 q4: a5 v b4 a1, b1
  Semis s1: a1 v wq2 s2: b1 v wq1 7th: wq3 v wq4 9th: lq3 v lq4 lq1, lq2
  Placings   3rd: ls1 v ls2 5th: lq1 v lq2    
  Final (delayed) 1st: ws1 v ws2        
    Pool A Pool B Byes
Day 1 Round 1 1 v 8 4 v 9 2 v 7 3 v 10 5, 6
  Round 2 1 v 5 4 v 8 2 v 6 3 v 7 9, 10
  Round 3 4 v 5 8 v 9 3 v 6 7 v 10 1, 2
  Round 4 1 v 4 5 v 9 2 v 3 6 v 10 8, 7
Day 2 Round 5 1 v 9 5 v 8 2 v 10 6 v 7 4, 3
    Top Pool Bottom Pool  
  Crossover 1 a1 v b3 a2 v b1 a3 v b2 a4 v b5  
  Crossover 2 a1 v b2 a2 v b3 a3 v b1 a5 v b4  
  Crossover 3 a2 v b2 a3 v b3 a4 v b4 a5 v b5  
  Final a1 v b1        

8 Teams

Round 1 1 v 8 2 v 7 3 v 6 4 v 5
Round 2 1 v 7 2 v 8 3 v 5 4 v 6
Round 3 1 v 6 2 v 5 3 v 8 4 v 7
Round 4 1 v 5 2 v 6 3 v 7 4 v 8
Round 5 1 v 4 2 v 3 5 v 8 6 v 7
Round 6 1 v 3 2 v 4 5 v 7 6 v 8
Round 7 1 v 2 3 v 4 5 v 6 7 v 8
  Final (or Semis, then final    

6 Teams

Round 1 1 v 6 2 v 5 3 v 4
Round 2 1 v 5 2 v 4 3 v 6
Round 3 1 v 4 2 v 3 5 v 6
Round 4 1 v 3 2 v 6 4 v 5
Round 5 1 v 2 3 v 5 4 v 6
  Final (or Semis, then final  

General Method for Creating a Round Robin Draw

We will look at a 6 team draw for simplicity, but the method is extendable to any even number of teams. For odd numbers of teams, use the draw for the next even number of teams (eg. For 9 teams use a 10 team draw) but replace the last team by the "Bye" game.

  1 2 3 4 5 6
1            
2            
3            
4            
5            
6            

Start by drawing up a table with each team number, 1 to N, on both the horizontal and vertical axes, as adjacent.



  1 2 3 4 5 6
1 1 2 3 4 5  
2 2          
3 3          
4 4          
5 5          
6            

Now, fill in numbers as follows. Put a 1 in the first column and the first row. Then number down that column until you reach the second-last row with N-1. Mirror this in the first row.

These numbers represent rounds, so should be between 1 and N-1, since it takes N-1 rounds to play an N team round-robin when N is even.



  1 2 3 4 5 6
1 1 2 3 4 5  
2 2 3 4 5 1  
3 3 4 5 1 2  
4 4 5 1 2 3  
5 5 1 2 3 4  
6            

Now, number down the next N-2 columns (ie not the last column), starting with the number on the first row. When you reach N-1, go back to 1.

Again, don't fill in the last row or column.



  1 2 3 4 5 6
1 X 2 3 4 5 1
2 2 X 4 5 1 3
3 3 4 X 1 2 5
4 4 5 1 X 3 2
5 5 1 2 3 X 4
6 1 3 5 2 4 X

Finally, the main diagonal represents an illegal game (eg 2 v 2), so move those numbers to the bottom row and last column.

The numbers on the sides now represent each of the teams, and the number in the table gives you the round in which they meet. For example, 2 plays 6 in round 3. Easy, eh!



You can modify this draw easily for a seeded draw to get a schedule with games played in the order you want want by switching the order of rounds and even by swapping two team numbers, knowing that a valid draw will still result.