Recent Posts

41

Requests / 21 person euchre rotation table

« Last post by kslates on February 25, 2025, 01:21:53 PM »

I am having a euchre party Saturday with 11 couples, but one person does not play euchre. So is it possible to have a 21 person rotation where everyone plays with everyone and against everyone if possible. So I would need 20 rounds. Thanks!

42

Requests / Re: Partitioned Balanced Tournament Design (PBTD) for 8 teams with more venues

« Last post by Innesw20 on February 24, 2025, 05:33:07 PM »

Thanks Ian, they solve my problem.

43

Requests / Re: PBTD for 8 teams with more venues

« Last post by Ian Wakeling on February 22, 2025, 12:13:45 AM »

The more venues there are, the easier things get.  With 6 venues you can have:

(H A) (---) (F G) (B C) (---) (D E)
(---) (H B) (---) (F E) (D G) (A C)
(E G) (D F) (H C) (---) (A B) (---)
(---) (A E) (---) (H D) (F C) (B G)
(F B) (C G) (D A) (---) (H E) (---)
(D C) (---) (B E) (A G) (---) (H F)

which leaves the following 4 pairings to be played in the final round.

(A F) (B D) (C E) (G H)


If you have 7 venues, then there is the Room Square.

44

Requests / Re: PBTD for 8 teams with more venues

« Last post by Innesw20 on February 21, 2025, 05:43:10 PM »

Afraid not - it does need to be partitioned: a team at a venue at most once in rounds 1-4 and at most once in rounds 4-7.

I imagine it would look something like this, if it can work for 5 venues (rounds in rows, venues in cols):
(   ) (1 x) (x x) (x x) (x x)
(x x) (x x) (   ) (x x) (1 x)
(x x) (   ) (1 x) (x x) (x x)
(1 x) (x x) (x x) (x x) (   )
(x x) (x x) (1 x) (   ) (x x)
(x x) (   ) (x x) (x x) (1 x)
(   ) (x x) (x x) (1 x) (x x)
Ideally each team should play on each venue at least once in the competition, but that may be asking too much.

45

Requests / Re: PBTD for 8 teams with more venues

« Last post by Ian Wakeling on February 21, 2025, 04:02:01 AM »

The PBTD might not be necessary.  Could you use the regular balanced schedule instead.  Go here and enter 8 items and 'balanced'.

46

Requests / Partitioned Balanced Tournament Design (PBTD) for 8 teams with more venues

« Last post by Innesw20 on February 20, 2025, 05:58:32 AM »

In the game of lawn bowls, if there are only 8 teams in a competition there would frequently be more rinks available (the standard green has eight) than are required to play each round (4).

The mathematicians have shown that there does not exist a PBTD for 8 teams and 4 venues.

I was wondering whether a PBTB-equivalent for 8 teams could be constructed where the number of venues is 5 instead of 4? If not, would 6 venues allow it? Or is it just not mathematically possible? This is essentially easing the restriction on the number of venues that applies in the standard definition of PBTDs.

47

Requests / Re: 16 Players Foursomes League

« Last post by Ian Wakeling on February 20, 2025, 03:03:37 AM »

Please see reply #1 that I wrote here.  It will give you both 10 and 15 rounds and more if you want.  Note that the 16 players are numbered zero to 15.

48

Requests / 16 Players Foursomes League

« Last post by Sifo-Dyas on February 19, 2025, 09:30:02 AM »

Hallo, I need Help for scheduling 16 Players in 10 (maybe 15) rounds of Foursomes.

Every Player should meet every other Player twice (three Times) but no three or four Players should meet more then ones.

Thank You very much 

49

Requests / Re: Schedule please 2 teams of 8 players

« Last post by bartdev on February 17, 2025, 06:52:47 AM »

Thanks Ian, That worked a treat. I did look at that schedule but couldn't get my head around the changes required.
Many thanks, chatgpt - 0 metaAl - 0   Ian  Winner
Appreciate your time and effort, Regards, Bart

50

Requests / Re: Schedule please 2 teams of 8 players

« Last post by Ian Wakeling on February 17, 2025, 03:02:23 AM »

If you take the schedule in reply#1 here, ignore the extra round, then take each game of the form (H W vs H W) and rearrange the four players to give (H H vs W W), then if H and W are the two teams, then I believe the schedule will meet the requirements that you have set.