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Julian D. A. Wiseman, April 2002
This 15-player all-play-all tournament design, last updated in April 2002, is based on an original by Dr Nicholas F. J. Inglis of The Department of Pure Mathematics and Mathematical Statistics at The University of Cambridge.
|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 iv v vi vii 1 F D:K B:N C:L I:G O:A H:J E:M 2 C E:I A:L B:J F:K M:D G:O N:H 3 D O:F I:H K:E A:N G:J L:B M:C 4 B K:H D:J A:M C:O E:N I:F G:L 5 A N:G O:E I:D M:B H:L K:C J:F 6 H B:O L:F M:G J:E I:C D:N A:K 7 E C:N G:K O:H L:D F:M J:A I:B 8 G I:A J:C F:N H:M K:B E:L D:O 9 I F:C N:M H:A O:L D:E B:G K:J 10 J M:L H:B N:K D:F A:G C:E O:I 11 K G:D F:A L:I N:J C:H O:M B:E 12 L J:M K:O G:C E:A B:F N:I H:D 13 N H:E M:I J:O B:C L:K A:D F:G 14 M L:J E:G D:B K:I N:O F:H C:A 15 O A:B C:D E:F G:H J:I M:K L:N
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 exactly once on each side of each venue.
Hence each player plays twice at each venue, and each player plays seven times on each side (left and right).
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 38568.6096564431209, which is likely to be close to the maximum.
It has a left-right asymmetry measure of 7.41614598035011, which is minimal given the assignment of games to rounds and venues.
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