|Main index||Individual-pairs explanation||About author|
Julian D. A. Wiseman, June 2003
This 21-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).
|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 iv v 1 A R+N:B+H M+Q:F+P T+L:J+O S+K:E+G U+I:D+C 2 R I+P:E+K N+U:S+O M+G:C+Q T+D:B+L J+F:A+H 3 N U+T:J+Q D+K:A+F I+H:L+P C+E:R+O M+B:S+G 4 U B+F:R+E T+M:C+P D+O:G+K I+S:J+H L+A:N+Q 5 T M+I:L+K S+E:N+A B+Q:H+F G+R:U+P D+J:C+O 6 M J+A:U+R I+D:G+F S+P:O+E B+C:L+Q H+N:T+K 7 I D+B:H+E C+R:T+N J+K:Q+A O+U:M+F S+L:G+P 8 D L+N:M+U B+S:O+A C+F:P+R J+G:H+K Q+T:I+E 9 B S+J:Q+R G+U:I+T L+E:K+N P+M:D+A C+H:O+F 10 S H+T:D+M J+C:P+N G+A:F+U L+O:Q+E K+I:B+R 11 J C+L:K+U O+M:B+I H+R:E+T F+D:S+N G+Q:P+A 12 C Q+I:S+D L+G:F+T O+N:A+M H+P:K+R E+B:J+U 13 L G+H:E+M P+D:J+B Q+U:R+I A+S:C+T O+K:F+N 14 G K+B:C+S H+O:A+I P+T:N+D Q+F:E+U R+J:L+M 15 H O+Q:R+D F+S:L+J K+M:U+B N+C:G+I P+E:A+T 16 O E+J:G+C Q+P:N+B F+I:T+S K+A:R+M U+L:H+D 17 Q P+K:U+S A+C:H+L E+D:M+J T+G:O+B F+R:N+I 18 P R+L:O+G K+F:T+J A+B:I+C E+N:U+D M+H:Q+S 19 K F+E:M+C N+G:Q+H R+S:D+L I+O:P+J A+U:T+B 20 F U+H:P+O E+A:I+L N+J:B+G R+T:M+S D+Q:K+C 21 E A+R:D+G T+O:K+Q U+C:S+H B+P:F+L N+M:I+J
This is an individual pairs for 21 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 plays immediately before each of the others exactly once, and immediately after exactly once.
Players play on the venues with distributions as follows: 7 players 5:4:4:4:3; 4 players 5:5:4:3:3; 3 players 6:5:4:3:2; 3 players 4:4:4:4:4; 3 players 6:4:4:4:2; 1 player 7:5:4:3:1.
No player plays at the same venue in two consecutive rounds.
If players are ranked, from A the best to U the worst, this tournament has an unfairness measure of 80450738.4667.
This design is based on the cyclic group of order 21 (although plenty of designs exist based on the non-abelian group of order 21).
Usual disclaimer and copyright terms apply.