# Individual-pairs tournament design for 12 players

Julian D. A. Wiseman, June 2003

This 12-player individual-pairs tournament design, last updated in June 2003, is based on an original by Matt Fayers of The Department of Mathematics at Queen Mary, University of London (formerly of The Department of Pure Mathematics and Mathematical Statistics at The University of Cambridge).

Available formats:
PDF (A4) Schedule, in score-sheet, with running totals; Schedule by player; Blank score sheet, with running totals
PDF (A3) Schedule, in score-sheet, with running totals; Schedule by player; Blank score sheet, with running totals
PDF (USL) Schedule, in score-sheet, with running totals; Schedule by player; Blank score sheet, with running totals
Also see the individual-pairs explanation and the links to designs for other numbers of players.

Properties of this tournament design:

 ``` i ii iii 1 E+G:I+J L+A:B+H C+F:D+K 2 L+D:E+K F+I:G+C H+J:A+B 3 I+A:J+F K+B:D+E L+G:H+C 4 C+E:G+H L+J:K+F A+D:B+I 5 L+B:C+I D+G:E+A F+H:J+K 6 G+J:H+D I+K:B+C L+E:F+A 7 A+C:E+F L+H:I+D J+B:K+G 8 L+K:A+G B+E:C+J D+F:H+I 9 E+H:F+B G+I:K+A L+C:D+J 10 J+A:C+D L+F:G+B H+K:I+E 11 L+I:J+E K+C:A+H B+D:F+G ```
• This is an individual pairs for 12 players.

• Each player partners each of the others exactly once.

• Each player opposes each of the others exactly twice.

• Players play on the venues with distributions as follows: 5 players 4:4:3; 3 players 5:4:2; 3 players 5:3:3; 1 player 6:3:2.

• No player plays at the same side of the same venue in two consecutive rounds.

• Staying at the same venue in consecutive rounds is done by 10 players 1 time, and 2 players 0 times.

• If players are ranked, from A the best to L the worst, this tournament has an unfairness measure of 134739431.7836.

• This design is based on the group of order 11.

Usual disclaimer and copyright terms apply.