Bridge & other card games/movement

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QUESTION: I need a rotation for 12 couples with 4 couples playing for 8 months, each hosting twice.  We need to have couples playing against each other no more than twice in the period. Help please!
Thanks,
George

ANSWER: Hi,

I don't understand the question. You need a rotation for 12 pairs. Then you said that you have 4 pairs playing for 8 months each hosting twice. What about the remaining 8 pairs?

---------- FOLLOW-UP ----------

QUESTION: Four pairs play at one time.  Each month, 3 pairs host at their homes. They host 4 pairs including themselves. This takes place over an 8 month period. Hope this clears it up a bit.

Answer
Hi,

This is the best I can do. Each pair should share a location with every other pair twice and with two of the other pairs three times. Pairs reporting to each of the three locations for each month are listed on the chart below.

Month        Home #1       Home #2       Home #3        Hosts

1         12,5,1,10      7,8,11,9       2,3,4,6        1,2,7
2          3,4,5,7      12,6,2,11       8,9,1,10       3,6,9
3          9,10,2,11     4,5,6,8       12,7,3,1        4,10,12
4         12,8,4,2      10,11,3,1       5,6,7,9        5,8,11
5          6,7,8,10     12,9,5,3       11,1,4,2        1,3,7
6          1,2,5,3       7,8,9,11      12,10,6,4       2,9,10
7         12,11,7,5      2,3,6,4        8,9,10,1       4,8,12
8          9,10,11,2    12,1,8,6        3,4,7,5        5,6,11  

Bridge & other card games

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I can answer questions on bidding and on cardplay with the caveat that the former may necessarily involve some subjectivity. I have been playing tournament bridge for over 20 years and I have won several regional tournaments.

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