Many members of the club disliked the lack of variety and togetherness at the club. Although the club still had 12 members, some members were threatening to quit because each schedule was so short and there were so few people around each table.

To satisfy their request, the club decided to seat themselves around a big table and create a longer schedule. The twelve members of the club seated themselves in a schedule such that during each block of 55 days, no person was between the same pair of people. How was the schedule constructed?

(Based on The Round Table)

(In reply to No solutions for the 7 person case? by Glorat)

Glorat, you just solved this puzzle ! The answer to "The Conversing Club 3" is that there is no answer. Charlie showed his very superior intelligence by giving up on this one right away, whereas dummies like me beat their heads against this brick wall for months. A great philosopher (was it Plato?) once observed that "Once I have found the thing, I stop looking for it. So, the place I found it is the last place I looked for it!" Now that you have solved this puzzle, we can put it out to pasture. Good job!

Posted by Penny on 2004-08-12 10:30:41