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)
I note that 55 is a triangle number. If I take A as my first seat (column) then I can go down col.2 using the other persons (diminishing by 1). Haven't analysed further relationships properly.
Danny's "6 people in 10 days" is a good starting point with lower orders worth following.
I'll compile my 'research' for a later posting.
Posted by brianjn
on 2004-07-28 23:05:31