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*Julian D. A. Wiseman, December 2004*

This is a 5-player 3-venue all-play-all tournament design, and 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; Blank score sheet, with running totals |

PDF (A3) | Schedule, in score-sheet, with running totals; Blank score sheet, with running totals |

PDF (USL) | Schedule, in score-sheet, with running totals; Blank score sheet, with running totals |

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

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

Properties of this tournament design:

Bye i ii iii 1 C A:E B:D 2 B D:A C:E 3 A B:C E:D 4 D C:A E:B 5 E A:B D:C |

Each player plays each of the others exactly once, and each player has one bye.

No player plays two consecutive games at the same venue.

Each player plays once at two venues and once on each side of one venue.

No venue is idle in two consecutive rounds.

No venue is used in more than two consecutive rounds.

It is seeded, so that important games come late in the tournament if player A is the best, B the second best, etc.

It has a permutation score of 256.35213896, which is maximal.

It has a left-right asymmetry measure of 0.49, which is minimal given the assignment of games to rounds and venues.

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