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Julian D. A. Wiseman, February 2002
This 16-player all-play-all tournament design, last updated in February 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:
i ii iii iv v vi vii viii 1 F:K P:A H:I O:B M:D C:N L:E J:G 2 N:D I:G B:P J:H L:F E:K M:C A:O 3 P:C H:K A:N G:L E:J I:F D:O B:M 4 I:E N:B K:G A:M C:O P:D F:J L:H 5 L:A F:O J:C P:E N:G H:M K:B D:I 6 G:M D:J O:E C:I A:K L:B H:N P:F 7 H:O L:C F:M D:K I:B J:A P:G E:N 8 B:J E:M L:D N:F H:P G:O A:I K:C 9 K:P A:H G:B I:O F:C D:E N:L M:J 10 D:F J:N M:L E:C B:H A:G I:P O:K 11 O:L B:E P:J F:A K:M N:I C:H G:D 12 C:G M:I D:H K:N P:L O:J E:A F:B 13 E:H G:F N:O M:P D:A B:C J:K I:L 14 M:N O:P I:K L:J G:E F:H B:D C:A 15 A:B C:D E:F H:G J:I K:L O:M N:P
Each player plays each of the others exactly once.
No player plays two consecutive games at the same venue.
Each player plays at most once on any one side of any venue.
Hence each player plays twice at seven venues and once at one venue, and each player plays seven times on one side (left or right) and eight on the other (right or left).
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 38568.6096983694151276723, which is the maximum.
It has a left-right asymmetry measure of 13.8966458722596897246, which is minimal given the assignment of games to rounds and venues.
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