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*Julian D. A. Wiseman, June 2003*

This 13-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: | |
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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 |

Text | Human-readable schedule, machine-readable schedule |

Also see the individual-pairs explanation and the links to designs for other numbers of players. |

Properties of this tournament design:

Bye i ii iii 1 A E+M:K+H B+I:D+L F+J:G+C 2 E B+A:G+J D+M:F+I K+L:C+H 3 B D+E:C+L F+A:K+M G+I:H+J 4 D F+B:H+I K+E:G+A C+M:J+L 5 F K+D:J+M G+B:C+E H+A:L+I 6 K G+F:L+A C+D:H+B J+E:I+M 7 G C+K:I+E H+F:J+D L+B:M+A 8 C H+G:M+B J+K:L+F I+D:A+E 9 H J+C:A+D L+G:I+K M+F:E+B 10 J L+H:E+F I+C:M+G A+K:B+D 11 L I+J:B+K M+H:A+C E+G:D+F 12 I M+L:D+G A+J:E+H B+C:F+K 13 M A+I:F+C E+L:B+J D+H:K+G |

This is an individual pairs for 13 players.

Each player partners each of the others exactly once.

Each player opposes each of the others exactly twice.

No set of three players meet together more than once.

Each player opposes each of the others exactly once from the left and exactly once from the right.

Each player plays immediately before each of the others exactly once, and immediately after exactly once.

Each player plays four times on each venue.

Players remaining on venues i or ii for two consecutive rounds do so in pairs and as opponents.

Staying at the same venue in consecutive rounds is done by 10 players 3 times, and 3 players 2 times.

If players are ranked, from A the best to M the worst, this tournament has an unfairness measure of 2330795.2364969.

This design is based on the group of order 13.

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