# Carry-Over tournament design for 3+3=6 players

Julian D. A. Wiseman, March 2002

This is a carry-over tournament design for 3+3=6 players. It therefore assumes that two qualifying leagues (called ‘Roman’ and ‘Italic’) have played an all-play-all, and that the top 3 players from each are through to the final. In the final these 6 players are then to play each other, except that games already played between them are ‘carried over’. The players in the Roman league are called A, B and C and those in the Italic league a, b and c.

It was last updated in March 2002.

Available formats:
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
Also see the carry-over explanation and the links to similar designs for other numbers of players.

Properties of this tournament design:

i ii iii b:C c:A a:B c:B a:C b:A A:a B:b C:c
• Each player plays exactly once each of the players in the other league.

• Each player plays exactly once at each venue.

• Each player plays twice on one side (left or right) and once the other (right or left).

• It is seeded, so that important games come late in the tournament. It is assumed that player A is better than B, etc, and that a is better than b, etc. (Usually rankings are determined by the players’ scores in the qualifying rounds.)

• It has a permutation score of 16.2648411217802149, which is maximal.

• It has a left-right asymmetry measure of 1/9 = 0.11111, which is minimal.

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