31
Requests / Re: 6 courts with 28 players
« Last post by LindaG on October 10, 2024, 09:40:56 PM »I would be interested in 28 players, 7 rounds and 7 courts .
Recent Posts
32
Requests / Re: Round Robin Schedule For Changing Teams
« Last post by Ian Wakeling on October 01, 2024, 03:07:53 PM »Here are some options for 24 players and 6 courts.
24 players 6 courts 5 rounds
( 7 17 v 11 9) (20 19 v 22 18) (24 12 v 13 16) (21 1 v 10 8) ( 5 15 v 3 14) ( 4 23 v 2 6)
( 3 4 v 13 18) (10 17 v 24 23) (21 12 v 14 20) ( 8 11 v 16 22) ( 9 5 v 19 2) ( 7 1 v 6 15)
(24 8 v 9 14) (18 15 v 21 23) ( 3 17 v 19 1) ( 4 5 v 16 20) (22 12 v 2 7) (11 10 v 6 13)
(22 10 v 15 4) ( 1 24 v 2 18) (20 11 v 3 23) ( 6 21 v 16 9) ( 5 17 v 12 8) (13 19 v 14 7)
( 1 12 v 23 9) (11 4 v 24 19) (10 7 v 16 3) (15 2 v 8 20) ( 6 17 v 14 18) (21 22 v 5 13)
24 players 6 courts 6 rounds (3 pairs of players who meet twice, once as partners, once as opponents)
( 7 24 v 6 9) (12 20 v 8 10) (23 17 v 1 11) (15 14 v 16 4) ( 3 22 v 5 21) (18 19 v 13 2)
(22 24 v 14 17) (11 18 v 4 10) ( 7 2 v 5 20) ( 3 12 v 23 19) ( 6 21 v 15 13) (16 1 v 9 8)
(12 11 v 16 2) ( 3 13 v 14 9) ( 1 7 v 10 22) (20 15 v 17 19) (18 8 v 24 21) ( 4 5 v 6 23)
(10 5 v 13 17) (22 1 v 6 2) (16 20 v 23 24) ( 8 19 v 11 14) (15 3 v 18 7) (12 21 v 4 9)
(11 5 v 24 15) ( 8 2 v 3 17) (16 6 v 19 10) ( 4 12 v 13 7) (21 14 v 1 23) ( 9 18 v 20 22)
( 4 1 v 24 19) ( 5 14 v 12 18) ( 8 23 v 13 22) (11 6 v 20 3) ( 2 9 v 15 10) (21 7 v 16 17)
24 players 6 courts 7 rounds (15 pairs of players who meet twice, once as partners, once as opponents)
(13 10 v 1 17) (11 2 v 6 20) ( 5 4 v 21 16) (15 12 v 19 24) ( 9 23 v 3 18) ( 7 14 v 22 8)
( 9 13 v 16 19) ( 3 24 v 21 20) ( 4 12 v 14 6) (15 2 v 1 7) (18 17 v 5 8) (11 22 v 10 23)
(16 6 v 7 15) ( 3 2 v 19 5) ( 4 9 v 1 11) (18 24 v 22 13) (12 21 v 8 23) (20 14 v 17 10)
( 6 21 v 18 1) (22 20 v 9 12) ( 3 11 v 17 14) (13 8 v 15 5) ( 7 19 v 10 4) ( 2 24 v 23 16)
( 1 22 v 3 16) (10 9 v 24 8) (12 11 v 5 7) ( 2 21 v 14 13) (15 20 v 18 4) (19 6 v 17 23)
(13 20 v 23 7) ( 5 24 v 1 6) ( 3 12 v 10 15) ( 2 22 v 17 4) (18 8 v 11 16) (14 21 v 9 19)
( 6 4 v 13 3) ( 9 24 v 7 17) (22 15 v 21 11) (23 14 v 5 16) ( 1 19 v 20 8) (10 12 v 2 18)
24 players 6 courts 5 rounds
( 7 17 v 11 9) (20 19 v 22 18) (24 12 v 13 16) (21 1 v 10 8) ( 5 15 v 3 14) ( 4 23 v 2 6)
( 3 4 v 13 18) (10 17 v 24 23) (21 12 v 14 20) ( 8 11 v 16 22) ( 9 5 v 19 2) ( 7 1 v 6 15)
(24 8 v 9 14) (18 15 v 21 23) ( 3 17 v 19 1) ( 4 5 v 16 20) (22 12 v 2 7) (11 10 v 6 13)
(22 10 v 15 4) ( 1 24 v 2 18) (20 11 v 3 23) ( 6 21 v 16 9) ( 5 17 v 12 8) (13 19 v 14 7)
( 1 12 v 23 9) (11 4 v 24 19) (10 7 v 16 3) (15 2 v 8 20) ( 6 17 v 14 18) (21 22 v 5 13)
24 players 6 courts 6 rounds (3 pairs of players who meet twice, once as partners, once as opponents)
( 7 24 v 6 9) (12 20 v 8 10) (23 17 v 1 11) (15 14 v 16 4) ( 3 22 v 5 21) (18 19 v 13 2)
(22 24 v 14 17) (11 18 v 4 10) ( 7 2 v 5 20) ( 3 12 v 23 19) ( 6 21 v 15 13) (16 1 v 9 8)
(12 11 v 16 2) ( 3 13 v 14 9) ( 1 7 v 10 22) (20 15 v 17 19) (18 8 v 24 21) ( 4 5 v 6 23)
(10 5 v 13 17) (22 1 v 6 2) (16 20 v 23 24) ( 8 19 v 11 14) (15 3 v 18 7) (12 21 v 4 9)
(11 5 v 24 15) ( 8 2 v 3 17) (16 6 v 19 10) ( 4 12 v 13 7) (21 14 v 1 23) ( 9 18 v 20 22)
( 4 1 v 24 19) ( 5 14 v 12 18) ( 8 23 v 13 22) (11 6 v 20 3) ( 2 9 v 15 10) (21 7 v 16 17)
24 players 6 courts 7 rounds (15 pairs of players who meet twice, once as partners, once as opponents)
(13 10 v 1 17) (11 2 v 6 20) ( 5 4 v 21 16) (15 12 v 19 24) ( 9 23 v 3 18) ( 7 14 v 22 8)
( 9 13 v 16 19) ( 3 24 v 21 20) ( 4 12 v 14 6) (15 2 v 1 7) (18 17 v 5 8) (11 22 v 10 23)
(16 6 v 7 15) ( 3 2 v 19 5) ( 4 9 v 1 11) (18 24 v 22 13) (12 21 v 8 23) (20 14 v 17 10)
( 6 21 v 18 1) (22 20 v 9 12) ( 3 11 v 17 14) (13 8 v 15 5) ( 7 19 v 10 4) ( 2 24 v 23 16)
( 1 22 v 3 16) (10 9 v 24 8) (12 11 v 5 7) ( 2 21 v 14 13) (15 20 v 18 4) (19 6 v 17 23)
(13 20 v 23 7) ( 5 24 v 1 6) ( 3 12 v 10 15) ( 2 22 v 17 4) (18 8 v 11 16) (14 21 v 9 19)
( 6 4 v 13 3) ( 9 24 v 7 17) (22 15 v 21 11) (23 14 v 5 16) ( 1 19 v 20 8) (10 12 v 2 18)
33
Requests / Re: Round Robin Schedule For Changing Teams
« Last post by Ian Wakeling on October 01, 2024, 01:27:20 PM »Hi Nathan,
Thanks for your kind words.
Here are some schedules for 24 players and 4 courts. The 6 round schedule is fair with 1 bye per player. If you want 5 rounds, then just delete any one round from this schedule and the 16 players you remove will be the ones that have 3 games rather than 4.
I will look at the schedules with more courts later.
Ian
24 players 4 courts 6 rounds ( 2 byes each or 4 games each)
( 9 15 v 12 4) ( 8 5 v 14 2) ( 6 7 v 3 11) (16 10 v 1 13)
(18 8 v 1 23) ( 5 17 v 21 7) ( 6 22 v 20 4) ( 3 24 v 19 2)
(10 23 v 19 17) (13 21 v 20 9) (14 12 v 11 24) (16 22 v 15 18)
(15 1 v 6 5) ( 4 13 v 2 11) (14 10 v 7 9) (12 8 v 16 3)
(23 5 v 24 20) ( 6 18 v 2 21) ( 7 8 v 19 4) ( 1 17 v 3 22)
(15 17 v 24 13) (18 14 v 19 20) (21 22 v 12 10) (23 9 v 11 16)
24 players 4 courts 7 rounds (players have 2 or 3 byes each)
(23 14 v 12 19) ( 7 4 v 18 22) (17 3 v 24 11) ( 1 16 v 20 13)
(18 10 v 24 2) ( 5 23 v 6 15) ( 7 9 v 3 21) (19 8 v 4 13)
( 9 6 v 1 2) (20 15 v 11 14) ( 8 5 v 21 10) (22 17 v 12 16)
( 6 14 v 3 13) (12 10 v 4 15) (21 22 v 1 19) ( 7 5 v 16 11)
(12 8 v 3 2) (18 9 v 19 16) (22 20 v 24 6) (17 10 v 23 13)
(15 1 v 7 17) (21 2 v 20 4) (18 23 v 8 11) (14 5 v 24 9)
(15 13 v 9 22) (23 4 v 24 1) (18 20 v 3 5) (21 6 v 11 12)
Frequency of players in each round
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
R1 1 0 1 1 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1
R2 0 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 0 1 1
R3 1 1 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0
R4 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 0 0
R5 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 1
R6 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 0 1 1
R7 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1
Thanks for your kind words.
Here are some schedules for 24 players and 4 courts. The 6 round schedule is fair with 1 bye per player. If you want 5 rounds, then just delete any one round from this schedule and the 16 players you remove will be the ones that have 3 games rather than 4.
I will look at the schedules with more courts later.
Ian
24 players 4 courts 6 rounds ( 2 byes each or 4 games each)
( 9 15 v 12 4) ( 8 5 v 14 2) ( 6 7 v 3 11) (16 10 v 1 13)
(18 8 v 1 23) ( 5 17 v 21 7) ( 6 22 v 20 4) ( 3 24 v 19 2)
(10 23 v 19 17) (13 21 v 20 9) (14 12 v 11 24) (16 22 v 15 18)
(15 1 v 6 5) ( 4 13 v 2 11) (14 10 v 7 9) (12 8 v 16 3)
(23 5 v 24 20) ( 6 18 v 2 21) ( 7 8 v 19 4) ( 1 17 v 3 22)
(15 17 v 24 13) (18 14 v 19 20) (21 22 v 12 10) (23 9 v 11 16)
24 players 4 courts 7 rounds (players have 2 or 3 byes each)
(23 14 v 12 19) ( 7 4 v 18 22) (17 3 v 24 11) ( 1 16 v 20 13)
(18 10 v 24 2) ( 5 23 v 6 15) ( 7 9 v 3 21) (19 8 v 4 13)
( 9 6 v 1 2) (20 15 v 11 14) ( 8 5 v 21 10) (22 17 v 12 16)
( 6 14 v 3 13) (12 10 v 4 15) (21 22 v 1 19) ( 7 5 v 16 11)
(12 8 v 3 2) (18 9 v 19 16) (22 20 v 24 6) (17 10 v 23 13)
(15 1 v 7 17) (21 2 v 20 4) (18 23 v 8 11) (14 5 v 24 9)
(15 13 v 9 22) (23 4 v 24 1) (18 20 v 3 5) (21 6 v 11 12)
Frequency of players in each round
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
R1 1 0 1 1 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1
R2 0 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 0 1 1
R3 1 1 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0
R4 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 0 0
R5 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 1
R6 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 0 1 1
R7 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1
34
Requests / Re: Round Robin Schedule For Changing Teams
« Last post by NTLKnight on September 29, 2024, 03:15:57 PM »Ian, I really appreciate it, thank you so much!
I spent a few hours populating my spreadsheets using your numbers (for the 20 players, 4 courts versions...5/6/7 game options). You're right, the only version that is "fair" is the 5 game option, where each player gets 1 "bye" (or in the case of this particular tournament structure--where players get ranked based on wins and score differentials--each player "sits" 1 game and plays 4). The only way to get the 6/7 game versions to "work" (where 4/8 players would "sit" twice) would be to use the scoring system (of games won and score differentials) for the first 5 games...and then use game(s) 6 as "Playoffs" before a 7th "Finals" game(s)...but I don't think that's even possible because in order for all 20 players to play their 5 games (and get ranked), the full 7 games would need to be played (as there would be "sitting" by some players starting from game 1), so getting a ranking for all players based on wins/differentials would require all 7 games to be played before seeing which players are ranked highest/lowest.
In summary, I think I will use the 20 PLAYERS • 4 COURTS • 5 GAMES option when needed...and manually figure out a "Playoffs" and "Finals" segment once the "Pool Play" of 5 games has concluded.
Going forward, if time still permits (using your software) to see if a 24 PLAYERS • 4 COURTS • 5/6/7 GAMES format would balance out, I would be very grateful.
Also, now that I can visually see the challenges of having "fair" whist lists with a lower number of courts than what would allow all players to play simultaneously, I believe it should be more straightforward to have a version of these whist lists for the following formats, if and when you have the time! Thank you!
(If the 5/6 game options would use the same pairings as the 7 game options, I can omit games 6/7 to get those versions...if that would make it easier for you to populate the numbers.)
Thank you again,
Nathan
I spent a few hours populating my spreadsheets using your numbers (for the 20 players, 4 courts versions...5/6/7 game options). You're right, the only version that is "fair" is the 5 game option, where each player gets 1 "bye" (or in the case of this particular tournament structure--where players get ranked based on wins and score differentials--each player "sits" 1 game and plays 4). The only way to get the 6/7 game versions to "work" (where 4/8 players would "sit" twice) would be to use the scoring system (of games won and score differentials) for the first 5 games...and then use game(s) 6 as "Playoffs" before a 7th "Finals" game(s)...but I don't think that's even possible because in order for all 20 players to play their 5 games (and get ranked), the full 7 games would need to be played (as there would be "sitting" by some players starting from game 1), so getting a ranking for all players based on wins/differentials would require all 7 games to be played before seeing which players are ranked highest/lowest.
In summary, I think I will use the 20 PLAYERS • 4 COURTS • 5 GAMES option when needed...and manually figure out a "Playoffs" and "Finals" segment once the "Pool Play" of 5 games has concluded.
Going forward, if time still permits (using your software) to see if a 24 PLAYERS • 4 COURTS • 5/6/7 GAMES format would balance out, I would be very grateful.
Also, now that I can visually see the challenges of having "fair" whist lists with a lower number of courts than what would allow all players to play simultaneously, I believe it should be more straightforward to have a version of these whist lists for the following formats, if and when you have the time! Thank you!
- 20 PLAYERS (10 TEAMS OF 2) • 5 COURTS • 5/6/7 GAMES • PLAYERS PLAY WITH RANDOM PARTNERS EACH GAME & AGAINST ALL OTHER PLAYERS AS BALANCED AS POSSIBLE.
- 24 PLAYERS (12 TEAMS OF 2) • 6 COURTS • 5/6/7 GAMES • PLAYERS PLAY WITH RANDOM PARTNERS EACH GAME & AGAINST ALL OTHER PLAYERS AS BALANCED AS POSSIBLE.
(If the 5/6 game options would use the same pairings as the 7 game options, I can omit games 6/7 to get those versions...if that would make it easier for you to populate the numbers.)
Thank you again,
Nathan
35
Requests / Re: Round Robin Schedule For Changing Teams
« Last post by Ian Wakeling on September 27, 2024, 11:58:44 AM »Hi Nathan,
Here are some schedules for 20 players and 4 courts. The first two are as good as it is possible to be, while the 7 round schedule has 11 pairs of player who meet twice (one as partners and once as opponents). Only the 5 round schedule is truly fair, as everyone gets exactly one bye and therefore the same number of games each. In the 6 round schedule players 1, 5, 9 & 13 get two byes, while everyone else has one bye. In the 7 round schedule players 1,2,5,6,9,10,13 & 14 get two byes, while everyone else has one bye.
20 players 5 rounds
(16 8 v 10 11) (15 2 v 4 3) ( 5 7 v 1 9) (13 14 v 12 6)
(18 10 v 4 7) (19 5 v 6 2) ( 9 8 v 3 20) (11 1 v 17 12)
( 1 6 v 15 8) (13 3 v 18 19) (17 5 v 4 20) ( 7 16 v 14 2)
(20 18 v 2 12) (16 1 v 19 4) (14 3 v 17 10) ( 9 13 v 15 11)
(20 19 v 14 11) ( 7 17 v 13 8) ( 5 15 v 12 10) ( 6 9 v 18 16)
20 players 6 rounds
( 7 11 v 15 18) ( 9 8 v 17 16) (20 14 v 10 6) ( 5 12 v 19 13)
(11 1 v 20 19) (17 4 v 15 12) (16 18 v 10 2) ( 9 3 v 14 13)
( 2 19 v 14 4) (20 15 v 5 8) ( 1 13 v 16 7) (18 3 v 6 17)
( 3 19 v 7 8) ( 5 1 v 10 17) ( 9 4 v 18 20) (12 11 v 2 6)
( 1 3 v 2 15) ( 4 13 v 6 8) ( 7 10 v 9 12) (16 5 v 14 11)
(10 4 v 11 3) ( 2 20 v 7 17) (16 6 v 19 15) ( 8 12 v 14 18)
20 players 7 rounds
(16 5 v 20 9) (13 12 v 14 18) (17 19 v 11 6) (15 7 v 8 10)
(11 10 v 13 4) ( 3 12 v 2 9) (18 19 v 15 16) (20 17 v 14 1)
( 7 17 v 13 15) ( 1 6 v 16 3) (20 4 v 18 8) (14 19 v 2 5)
( 8 12 v 5 6) (19 7 v 4 3) (17 11 v 18 9) (10 2 v 20 1)
( 5 4 v 13 3) (15 12 v 11 1) ( 6 9 v 7 2) (14 10 v 8 16)
(15 14 v 6 4) ( 3 10 v 18 17) ( 7 20 v 12 19) ( 8 2 v 11 16)
(16 12 v 4 17) (18 1 v 5 7) (13 9 v 19 8) ( 3 20 v 15 11)
I will look at 24 players at some later date.
Ian
Here are some schedules for 20 players and 4 courts. The first two are as good as it is possible to be, while the 7 round schedule has 11 pairs of player who meet twice (one as partners and once as opponents). Only the 5 round schedule is truly fair, as everyone gets exactly one bye and therefore the same number of games each. In the 6 round schedule players 1, 5, 9 & 13 get two byes, while everyone else has one bye. In the 7 round schedule players 1,2,5,6,9,10,13 & 14 get two byes, while everyone else has one bye.
20 players 5 rounds
(16 8 v 10 11) (15 2 v 4 3) ( 5 7 v 1 9) (13 14 v 12 6)
(18 10 v 4 7) (19 5 v 6 2) ( 9 8 v 3 20) (11 1 v 17 12)
( 1 6 v 15 8) (13 3 v 18 19) (17 5 v 4 20) ( 7 16 v 14 2)
(20 18 v 2 12) (16 1 v 19 4) (14 3 v 17 10) ( 9 13 v 15 11)
(20 19 v 14 11) ( 7 17 v 13 8) ( 5 15 v 12 10) ( 6 9 v 18 16)
20 players 6 rounds
( 7 11 v 15 18) ( 9 8 v 17 16) (20 14 v 10 6) ( 5 12 v 19 13)
(11 1 v 20 19) (17 4 v 15 12) (16 18 v 10 2) ( 9 3 v 14 13)
( 2 19 v 14 4) (20 15 v 5 8) ( 1 13 v 16 7) (18 3 v 6 17)
( 3 19 v 7 8) ( 5 1 v 10 17) ( 9 4 v 18 20) (12 11 v 2 6)
( 1 3 v 2 15) ( 4 13 v 6 8) ( 7 10 v 9 12) (16 5 v 14 11)
(10 4 v 11 3) ( 2 20 v 7 17) (16 6 v 19 15) ( 8 12 v 14 18)
20 players 7 rounds
(16 5 v 20 9) (13 12 v 14 18) (17 19 v 11 6) (15 7 v 8 10)
(11 10 v 13 4) ( 3 12 v 2 9) (18 19 v 15 16) (20 17 v 14 1)
( 7 17 v 13 15) ( 1 6 v 16 3) (20 4 v 18 8) (14 19 v 2 5)
( 8 12 v 5 6) (19 7 v 4 3) (17 11 v 18 9) (10 2 v 20 1)
( 5 4 v 13 3) (15 12 v 11 1) ( 6 9 v 7 2) (14 10 v 8 16)
(15 14 v 6 4) ( 3 10 v 18 17) ( 7 20 v 12 19) ( 8 2 v 11 16)
(16 12 v 4 17) (18 1 v 5 7) (13 9 v 19 8) ( 3 20 v 15 11)
I will look at 24 players at some later date.
Ian
36
Requests / Re: Looking to do whist schedule with more players than courts?
« Last post by philmonti on September 22, 2024, 02:24:50 PM »Wow thank you this is amazing.
37
Requests / Re: Round Robin Schedule For Changing Teams
« Last post by NTLKnight on September 21, 2024, 10:16:40 PM »Wow Ian, thank you again! All 3 of these 12-player schedules look very good...even the 5 match one!--much better than my attempts last night! I stayed up till 2:30am trying to manually do a 12-player 7 game schedule...while waiting to see if your answer would come in, in time! I just couldn't do it after a few hours!...so reverted to an 8-man tourney instead!
I figure I may as well ask your help with 2 more formats that I will likely need in the near future...and rather than leaving it till the last minute and hoping your answer comes in time, maybe I'll ask now! (No rush on these, only if and when you have a chance.)
1.
2.
I can't thank you enough!
Nathan
I figure I may as well ask your help with 2 more formats that I will likely need in the near future...and rather than leaving it till the last minute and hoping your answer comes in time, maybe I'll ask now! (No rush on these, only if and when you have a chance.)
1.
- 20 Players (10 teams of 2)
- 4 Courts (there will be 4 sitters each game...which I can manually assign to be refs)
- 7 Games
- Players play once with random partners and *try* to play against other players as balanced as possible
- (A 6-game version and a 5-game version would also be appreciated, if possible.)
2.
- 24 Players (12 teams of 2)
- 4 Courts (there will be 8 sitters each game...which I can manually assign to be refs and sitters)
- 7 Games
- Players play once with random partners and *try* to play against other players as balanced as possible
- (A 5/6 game version would be appreciated, if possible.)
I can't thank you enough!
Nathan
38
Requests / Re: Round Robin Schedule For Changing Teams
« Last post by Ian Wakeling on September 21, 2024, 08:55:22 AM »Hi Nathan,
It turns out that with 12 players and 3 courts, that 5 rounds is the hardest to schedule for - basically there are no schedule where it is possible to balance both the partner and opponent pairs. However, it is possible to have this balance with 6 and 7 rounds and have schedule were the social balance is also close to optimal. I have put some examples below,
Regards, Ian
12 players - 5 rounds - doubles
(11 5 v 2 6) ( 1 9 v 4 12) ( 7 10 v 8 3)
( 9 5 v 8 6) (12 7 v 11 4) ( 1 2 v 10 3)
( 4 7 v 6 10) ( 1 3 v 12 5) (11 2 v 9 8)
( 5 6 v 12 10) ( 2 9 v 7 1) ( 4 3 v 8 11)
( 5 10 v 9 11) ( 4 6 v 3 2) ( 1 12 v 7 8)
Partner Pair Counts
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 1 . . . . . . . . . . .
3 1 1 . . . . . . . . . .
4 0 0 1 . . . . . . . . .
5 0 0 0 0 . . . . . . . .
6 0 1 0 1 1 . . . . . . .
7 1 0 0 1 0 0 . . . . . .
8 0 0 1 0 0 1 1 . . . . .
9 1 1 0 0 1 0 0 1 . . . .
10 0 0 1 0 1 1 1 0 0 . . .
11 0 1 0 1 1 0 0 1 1 0 . .
12 1 0 0 1 1 0 1 0 0 1 0 .
Opposition Pair Counts
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 1 . . . . . . . . . . .
3 1 1 . . . . . . . . . .
4 1 1 1 . . . . . . . . .
5 1 1 1 0 . . . . . . . .
6 0 1 1 1 -2- . . . . . . .
7 1 1 1 1 0 1 . . . . . .
8 1 1 1 1 1 0 1 . . . . .
9 1 1 0 1 1 1 1 1 . . . .
10 1 1 1 1 1 1 1 1 1 . . .
11 0 1 1 1 1 1 1 1 1 1 . .
12 -2- 0 1 1 1 1 1 1 1 0 1 .
Times on Court Together
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 2 . . . . . . . . . . .
3 2 2 . . . . . . . . . .
4 1 1 2 . . . . . . . . .
5 1 1 1 0 . . . . . . . .
6 0 2 1 2 3 . . . . . . .
7 2 1 1 2 0 1 . . . . . .
8 1 1 2 1 1 1 2 . . . . .
9 2 2 0 1 2 1 1 2 . . . .
10 1 1 2 1 2 2 2 1 1 . . .
11 0 2 1 2 2 1 1 2 2 1 . .
12 3 0 1 2 2 1 2 1 1 1 1 .
------------------------
12 players - 6 rounds - doubles
( 1 2 v 5 12) ( 9 6 v 11 8) (10 4 v 7 3)
(12 2 v 10 11) ( 5 6 v 3 4) ( 7 1 v 9 8)
( 9 10 v 6 2) ( 8 12 v 3 5) (11 1 v 4 7)
(10 12 v 8 4) ( 2 5 v 7 6) ( 9 1 v 11 3)
( 7 9 v 4 12) (10 6 v 1 5) (11 2 v 3 8)
( 6 3 v 12 7) ( 8 2 v 1 4) ( 5 10 v 11 9)
Partner Pair Counts
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 1 . . . . . . . . . . .
3 0 0 . . . . . . . . . .
4 1 0 1 . . . . . . . . .
5 1 1 1 0 . . . . . . . .
6 0 1 1 0 1 . . . . . . .
7 1 0 1 1 0 1 . . . . . .
8 0 1 1 1 0 0 0 . . . . .
9 1 0 0 0 0 1 1 1 . . . .
10 0 0 0 1 1 1 0 0 1 . . .
11 1 1 1 0 0 0 0 1 1 1 . .
12 0 1 0 1 1 0 1 1 0 1 0 .
Opposition Pair Counts
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 1 . . . . . . . . . . .
3 1 1 . . . . . . . . . .
4 1 1 1 . . . . . . . . .
5 1 1 1 1 . . . . . . . .
6 1 1 1 1 2 . . . . . . .
7 1 1 1 2 1 1 . . . . . .
8 2 1 1 1 1 1 1 . . . . .
9 1 1 1 1 1 1 1 1 . . . .
10 1 2 1 1 1 1 1 1 1 . . .
11 1 1 1 1 1 1 1 1 2 1 . .
12 1 1 2 1 1 1 1 1 1 1 1 .
Times on Court Together
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 2 . . . . . . . . . . .
3 1 1 . . . . . . . . . .
4 2 1 2 . . . . . . . . .
5 2 2 2 1 . . . . . . . .
6 1 2 2 1 -3- . . . . . . .
7 2 1 2 -3- 1 2 . . . . . .
8 2 2 2 2 1 1 1 . . . . .
9 2 1 1 1 1 2 2 2 . . . .
10 1 2 1 2 2 2 1 1 2 . . .
11 2 2 2 1 1 1 1 2 -3- 2 . .
12 1 2 2 2 2 1 2 2 1 2 1 .
------------------------
12 players - 7 rounds - doubles
( 6 4 v 9 2) (10 11 v 1 7) ( 5 8 v 3 12)
( 4 9 v 11 5) ( 3 6 v 1 10) ( 2 8 v 12 7)
( 7 5 v 1 9) ( 4 12 v 6 10) ( 8 3 v 2 11)
( 9 10 v 2 3) ( 1 5 v 8 4) (11 7 v 6 12)
( 6 1 v 8 9) (10 2 v 12 5) ( 4 7 v 11 3)
(11 6 v 2 5) (10 4 v 7 8) ( 9 3 v 12 1)
( 5 6 v 7 3) ( 4 1 v 12 2) (10 8 v 11 9)
Partner Pair Counts
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 0 . . . . . . . . . . .
3 0 1 . . . . . . . . . .
4 1 0 0 . . . . . . . . .
5 1 1 0 0 . . . . . . . .
6 1 0 1 1 1 . . . . . . .
7 1 0 1 1 1 0 . . . . . .
8 0 1 1 1 1 0 1 . . . . .
9 1 1 1 1 0 0 0 1 . . . .
10 1 1 0 1 0 1 0 1 1 . . .
11 0 1 1 0 1 1 1 0 1 1 . .
12 1 1 1 1 1 1 1 0 0 0 0 .
Opposition Pair Counts
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 1 . . . . . . . . . . .
3 2 1 . . . . . . . . . .
4 1 2 1 . . . . . . . . .
5 1 1 2 2 . . . . . . . .
6 1 2 1 1 1 . . . . . . .
7 1 1 1 1 1 2 . . . . . .
8 2 1 1 1 1 1 1 . . . . .
9 2 1 1 1 2 2 1 1 . . . .
10 1 1 2 1 1 1 2 1 1 . . .
11 1 1 1 2 1 1 2 2 1 1 . .
12 1 2 1 1 1 1 1 2 1 2 1 .
Times on Court Together
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 1 . . . . . . . . . . .
3 2 2 . . . . . . . . . .
4 2 2 1 . . . . . . . . .
5 2 2 2 2 . . . . . . . .
6 2 2 2 2 2 . . . . . . .
7 2 1 2 2 2 2 . . . . . .
8 2 2 2 2 2 1 2 . . . . .
9 -3- 2 2 2 2 2 1 2 . . . .
10 2 2 2 2 1 2 2 2 2 . . .
11 1 2 2 2 2 2 -3- 2 2 2 . .
12 2 -3- 2 2 2 2 2 2 1 2 1 .
It turns out that with 12 players and 3 courts, that 5 rounds is the hardest to schedule for - basically there are no schedule where it is possible to balance both the partner and opponent pairs. However, it is possible to have this balance with 6 and 7 rounds and have schedule were the social balance is also close to optimal. I have put some examples below,
Regards, Ian
12 players - 5 rounds - doubles
(11 5 v 2 6) ( 1 9 v 4 12) ( 7 10 v 8 3)
( 9 5 v 8 6) (12 7 v 11 4) ( 1 2 v 10 3)
( 4 7 v 6 10) ( 1 3 v 12 5) (11 2 v 9 8)
( 5 6 v 12 10) ( 2 9 v 7 1) ( 4 3 v 8 11)
( 5 10 v 9 11) ( 4 6 v 3 2) ( 1 12 v 7 8)
Partner Pair Counts
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 1 . . . . . . . . . . .
3 1 1 . . . . . . . . . .
4 0 0 1 . . . . . . . . .
5 0 0 0 0 . . . . . . . .
6 0 1 0 1 1 . . . . . . .
7 1 0 0 1 0 0 . . . . . .
8 0 0 1 0 0 1 1 . . . . .
9 1 1 0 0 1 0 0 1 . . . .
10 0 0 1 0 1 1 1 0 0 . . .
11 0 1 0 1 1 0 0 1 1 0 . .
12 1 0 0 1 1 0 1 0 0 1 0 .
Opposition Pair Counts
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 1 . . . . . . . . . . .
3 1 1 . . . . . . . . . .
4 1 1 1 . . . . . . . . .
5 1 1 1 0 . . . . . . . .
6 0 1 1 1 -2- . . . . . . .
7 1 1 1 1 0 1 . . . . . .
8 1 1 1 1 1 0 1 . . . . .
9 1 1 0 1 1 1 1 1 . . . .
10 1 1 1 1 1 1 1 1 1 . . .
11 0 1 1 1 1 1 1 1 1 1 . .
12 -2- 0 1 1 1 1 1 1 1 0 1 .
Times on Court Together
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 2 . . . . . . . . . . .
3 2 2 . . . . . . . . . .
4 1 1 2 . . . . . . . . .
5 1 1 1 0 . . . . . . . .
6 0 2 1 2 3 . . . . . . .
7 2 1 1 2 0 1 . . . . . .
8 1 1 2 1 1 1 2 . . . . .
9 2 2 0 1 2 1 1 2 . . . .
10 1 1 2 1 2 2 2 1 1 . . .
11 0 2 1 2 2 1 1 2 2 1 . .
12 3 0 1 2 2 1 2 1 1 1 1 .
------------------------
12 players - 6 rounds - doubles
( 1 2 v 5 12) ( 9 6 v 11 8) (10 4 v 7 3)
(12 2 v 10 11) ( 5 6 v 3 4) ( 7 1 v 9 8)
( 9 10 v 6 2) ( 8 12 v 3 5) (11 1 v 4 7)
(10 12 v 8 4) ( 2 5 v 7 6) ( 9 1 v 11 3)
( 7 9 v 4 12) (10 6 v 1 5) (11 2 v 3 8)
( 6 3 v 12 7) ( 8 2 v 1 4) ( 5 10 v 11 9)
Partner Pair Counts
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 1 . . . . . . . . . . .
3 0 0 . . . . . . . . . .
4 1 0 1 . . . . . . . . .
5 1 1 1 0 . . . . . . . .
6 0 1 1 0 1 . . . . . . .
7 1 0 1 1 0 1 . . . . . .
8 0 1 1 1 0 0 0 . . . . .
9 1 0 0 0 0 1 1 1 . . . .
10 0 0 0 1 1 1 0 0 1 . . .
11 1 1 1 0 0 0 0 1 1 1 . .
12 0 1 0 1 1 0 1 1 0 1 0 .
Opposition Pair Counts
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 1 . . . . . . . . . . .
3 1 1 . . . . . . . . . .
4 1 1 1 . . . . . . . . .
5 1 1 1 1 . . . . . . . .
6 1 1 1 1 2 . . . . . . .
7 1 1 1 2 1 1 . . . . . .
8 2 1 1 1 1 1 1 . . . . .
9 1 1 1 1 1 1 1 1 . . . .
10 1 2 1 1 1 1 1 1 1 . . .
11 1 1 1 1 1 1 1 1 2 1 . .
12 1 1 2 1 1 1 1 1 1 1 1 .
Times on Court Together
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 2 . . . . . . . . . . .
3 1 1 . . . . . . . . . .
4 2 1 2 . . . . . . . . .
5 2 2 2 1 . . . . . . . .
6 1 2 2 1 -3- . . . . . . .
7 2 1 2 -3- 1 2 . . . . . .
8 2 2 2 2 1 1 1 . . . . .
9 2 1 1 1 1 2 2 2 . . . .
10 1 2 1 2 2 2 1 1 2 . . .
11 2 2 2 1 1 1 1 2 -3- 2 . .
12 1 2 2 2 2 1 2 2 1 2 1 .
------------------------
12 players - 7 rounds - doubles
( 6 4 v 9 2) (10 11 v 1 7) ( 5 8 v 3 12)
( 4 9 v 11 5) ( 3 6 v 1 10) ( 2 8 v 12 7)
( 7 5 v 1 9) ( 4 12 v 6 10) ( 8 3 v 2 11)
( 9 10 v 2 3) ( 1 5 v 8 4) (11 7 v 6 12)
( 6 1 v 8 9) (10 2 v 12 5) ( 4 7 v 11 3)
(11 6 v 2 5) (10 4 v 7 8) ( 9 3 v 12 1)
( 5 6 v 7 3) ( 4 1 v 12 2) (10 8 v 11 9)
Partner Pair Counts
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 0 . . . . . . . . . . .
3 0 1 . . . . . . . . . .
4 1 0 0 . . . . . . . . .
5 1 1 0 0 . . . . . . . .
6 1 0 1 1 1 . . . . . . .
7 1 0 1 1 1 0 . . . . . .
8 0 1 1 1 1 0 1 . . . . .
9 1 1 1 1 0 0 0 1 . . . .
10 1 1 0 1 0 1 0 1 1 . . .
11 0 1 1 0 1 1 1 0 1 1 . .
12 1 1 1 1 1 1 1 0 0 0 0 .
Opposition Pair Counts
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 1 . . . . . . . . . . .
3 2 1 . . . . . . . . . .
4 1 2 1 . . . . . . . . .
5 1 1 2 2 . . . . . . . .
6 1 2 1 1 1 . . . . . . .
7 1 1 1 1 1 2 . . . . . .
8 2 1 1 1 1 1 1 . . . . .
9 2 1 1 1 2 2 1 1 . . . .
10 1 1 2 1 1 1 2 1 1 . . .
11 1 1 1 2 1 1 2 2 1 1 . .
12 1 2 1 1 1 1 1 2 1 2 1 .
Times on Court Together
1 2 3 4 5 6 7 8 9 10 11 12
1 . . . . . . . . . . . .
2 1 . . . . . . . . . . .
3 2 2 . . . . . . . . . .
4 2 2 1 . . . . . . . . .
5 2 2 2 2 . . . . . . . .
6 2 2 2 2 2 . . . . . . .
7 2 1 2 2 2 2 . . . . . .
8 2 2 2 2 2 1 2 . . . . .
9 -3- 2 2 2 2 2 1 2 . . . .
10 2 2 2 2 1 2 2 2 2 . . .
11 1 2 2 2 2 2 -3- 2 2 2 . .
12 2 -3- 2 2 2 2 2 2 1 2 1 .
39
Requests / Re: Round Robin Schedule For Changing Teams
« Last post by NTLKnight on September 20, 2024, 06:20:34 PM »Ian, I have a huge favor to ask! Any chance you can help me with a schedule of the best option for 12 players? Same format as the others you helped me with above, but this time with 3 courts, 12 players and 6 teams (of 2). The most important would be a 7 game schedule, but I'd also very much appreciate a 6 game and a 5 game schedule (unless I can just omit games 6/7 manually to get the best option for a 5/6 game schedule using the same player numbers that your software would provide for a 7 game tourney).
Thank you so much!
Nathan
- 12 players
- 7 games (5/6 game options would be appreciated, but 7 would be most important!)
- Each player plays with a different player every game
- Players try to play against other players as equally as possible
Thank you so much!
Nathan
40
Requests / Re: Looking to do whist schedule with more players than courts?
« Last post by Ian Wakeling on September 19, 2024, 11:52:06 AM »16 players and 3 courts also by the same method - the byes are in the column with the square brackets. You probably want to mix up the order of the rounds/rows since at the moment player 16 has 5 byes in a row at the end of the tournament.
(16 1 v 9 14) ( 3 10 v 12 13) ( 6 15 v 7 11) [ 2 4 5 8]
(16 2 v 10 15) ( 4 11 v 13 14) ( 7 1 v 8 12) [ 3 5 6 9]
(16 3 v 11 1) ( 5 12 v 14 15) ( 8 2 v 9 13) [ 4 6 7 10]
(16 4 v 12 2) ( 6 13 v 15 1) ( 9 3 v 10 14) [ 5 7 8 11]
(16 5 v 13 3) ( 7 14 v 1 2) (10 4 v 11 15) [ 6 8 9 12]
(16 6 v 14 4) ( 8 15 v 2 3) (11 5 v 12 1) [ 7 9 10 13]
(16 7 v 15 5) ( 9 1 v 3 4) (12 6 v 13 2) [ 8 10 11 14]
(16 8 v 1 6) (10 2 v 4 5) (13 7 v 14 3) [ 9 11 12 15]
(16 9 v 2 7) (11 3 v 5 6) (14 8 v 15 4) [10 12 13 1]
(16 10 v 3 8) (12 4 v 6 7) (15 9 v 1 5) [11 13 14 2]
(16 11 v 4 9) (13 5 v 7 8) ( 1 10 v 2 6) [12 14 15 3]
(16 12 v 5 10) (14 6 v 8 9) ( 2 11 v 3 7) [13 15 1 4]
(16 13 v 6 11) (15 7 v 9 10) ( 3 12 v 4 8) [14 1 2 5]
(16 14 v 7 12) ( 1 8 v 10 11) ( 4 13 v 5 9) [15 2 3 6]
(16 15 v 8 13) ( 2 9 v 11 12) ( 5 14 v 6 10) [ 1 3 4 7]
( 2 4 v 5 8) ( 7 9 v 10 13) (12 14 v 15 3) [ 1 16 6 11]
( 3 5 v 6 9) ( 8 10 v 11 14) (13 15 v 1 4) [ 2 16 7 12]
( 4 6 v 7 10) ( 9 11 v 12 15) (14 1 v 2 5) [ 3 16 8 13]
( 5 7 v 8 11) (10 12 v 13 1) (15 2 v 3 6) [ 4 16 9 14]
( 6 8 v 9 12) (11 13 v 14 2) ( 1 3 v 4 7) [ 5 16 10 15]
(16 1 v 9 14) ( 3 10 v 12 13) ( 6 15 v 7 11) [ 2 4 5 8]
(16 2 v 10 15) ( 4 11 v 13 14) ( 7 1 v 8 12) [ 3 5 6 9]
(16 3 v 11 1) ( 5 12 v 14 15) ( 8 2 v 9 13) [ 4 6 7 10]
(16 4 v 12 2) ( 6 13 v 15 1) ( 9 3 v 10 14) [ 5 7 8 11]
(16 5 v 13 3) ( 7 14 v 1 2) (10 4 v 11 15) [ 6 8 9 12]
(16 6 v 14 4) ( 8 15 v 2 3) (11 5 v 12 1) [ 7 9 10 13]
(16 7 v 15 5) ( 9 1 v 3 4) (12 6 v 13 2) [ 8 10 11 14]
(16 8 v 1 6) (10 2 v 4 5) (13 7 v 14 3) [ 9 11 12 15]
(16 9 v 2 7) (11 3 v 5 6) (14 8 v 15 4) [10 12 13 1]
(16 10 v 3 8) (12 4 v 6 7) (15 9 v 1 5) [11 13 14 2]
(16 11 v 4 9) (13 5 v 7 8) ( 1 10 v 2 6) [12 14 15 3]
(16 12 v 5 10) (14 6 v 8 9) ( 2 11 v 3 7) [13 15 1 4]
(16 13 v 6 11) (15 7 v 9 10) ( 3 12 v 4 8) [14 1 2 5]
(16 14 v 7 12) ( 1 8 v 10 11) ( 4 13 v 5 9) [15 2 3 6]
(16 15 v 8 13) ( 2 9 v 11 12) ( 5 14 v 6 10) [ 1 3 4 7]
( 2 4 v 5 8) ( 7 9 v 10 13) (12 14 v 15 3) [ 1 16 6 11]
( 3 5 v 6 9) ( 8 10 v 11 14) (13 15 v 1 4) [ 2 16 7 12]
( 4 6 v 7 10) ( 9 11 v 12 15) (14 1 v 2 5) [ 3 16 8 13]
( 5 7 v 8 11) (10 12 v 13 1) (15 2 v 3 6) [ 4 16 9 14]
( 6 8 v 9 12) (11 13 v 14 2) ( 1 3 v 4 7) [ 5 16 10 15]