Round Robin Tournament Scheduling

36 Players in foursomes

Sifo-Dyas · 3 · 2910

Sifo-Dyas

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on: April 04, 2024, 08:53:29 AM
Hello,
I know, there's a solution of 36 Players playing in foursomes in 11 rounds. Every Player won't Play two Other Players.

Is there a possibility, that theese missing pairings are groups of 3 Players, so you can get
- 11 rounds in foursomes (33 opponents)
- 1 round in threesomes (the Last 2 opponents)
And everybody plays everyone ones?

(There's a solution for 24 Players playing 7 foursomes and ohne threesome and every Other Player ones)

Thank you


Ian Wakeling

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Reply #1 on: April 06, 2024, 01:07:08 PM
There is indeed a solution for this if you use the schedule below.  You may want to randomize the order of the tee-offs within each round, since as it stands players 1, 2 and 3 are always in the same column.

( 5 28 31  4) ( 7 32 11 13) ( 8 23 36  2) (16  6  9 15) (18 10 22 24) (19 34 14  1) (27 17 20 26) (29 21 33 35) (30 12 25  3)
( 6 29 32  5) ( 8 33 12 14) ( 9 24 26  2) (17  7 10 16) (19 11 23 25) (20 35  4  1) (28 18 21 27) (30 22 34 36) (31 13 15  3)
( 7 30 33  6) ( 9 34 13  4) (10 25 27  2) (18  8 11 17) (20 12 24 15) (21 36  5  1) (29 19 22 28) (31 23 35 26) (32 14 16  3)
( 8 31 34  7) (10 35 14  5) (11 15 28  2) (19  9 12 18) (21 13 25 16) (22 26  6  1) (30 20 23 29) (32 24 36 27) (33  4 17  3)
( 9 32 35  8) (11 36  4  6) (12 16 29  2) (20 10 13 19) (22 14 15 17) (23 27  7  1) (31 21 24 30) (33 25 26 28) (34  5 18  3)
(10 33 36  9) (12 26  5  7) (13 17 30  2) (21 11 14 20) (23  4 16 18) (24 28  8  1) (32 22 25 31) (34 15 27 29) (35  6 19  3)
(11 34 26 10) (13 27  6  8) (14 18 31  2) (22 12  4 21) (24  5 17 19) (25 29  9  1) (33 23 15 32) (35 16 28 30) (36  7 20  3)
(12 35 27 11) (14 28  7  9) ( 4 19 32  2) (23 13  5 22) (25  6 18 20) (15 30 10  1) (34 24 16 33) (36 17 29 31) (26  8 21  3)
(13 36 28 12) ( 4 29  8 10) ( 5 20 33  2) (24 14  6 23) (15  7 19 21) (16 31 11  1) (35 25 17 34) (26 18 30 32) (27  9 22  3)
(14 26 29 13) ( 5 30  9 11) ( 6 21 34  2) (25  4  7 24) (16  8 20 22) (17 32 12  1) (36 15 18 35) (27 19 31 33) (28 10 23  3)
( 4 27 30 14) ( 6 31 10 12) ( 7 22 35  2) (15  5  8 25) (17  9 21 23) (18 33 13  1) (26 16 19 36) (28 20 32 34) (29 11 24  3)
( 1  2  3) ( 4 15 26) ( 5 16 27) ( 6 17 28) ( 7 18 29) ( 8 19 30) ( 9 20 31) (10 21 32) (11 22 33) (12 23 34) (13 24 35) (14 25 36)


Sifo-Dyas

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Reply #2 on: April 15, 2024, 08:05:49 AM
Thank you very much