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
Text	Human-readable schedule, machine-readable schedule
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
1	b:C	c:A	a:B
2	c:B	a:C	b:A
3	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.