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| Math Central | Quandaries & Queries |
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Hello, I am organizing a golf trip for 9 women. We are playing in threesomes and are playing four days. I would love to mix it up so that everyone gets to play with each other at least once. |
Beth,
Yes, let the golfers be Agnes, Beth, Charlotte... Ivana.
ABC
DEF
GHI
This is a finite geometry with four sets of lines: horizontal (such as ABC), slope +1 (such as DBI), slope -1 (such as DHC) and vertical (such as ADG. You can actually see these in the diagram; note that slopping lines "wrap". Lines within a set do not intersect, lines in different sets intersect exactly once.
So your schedule is
ABC,DEF,GHI
AHF,DBI,GEC
AEI,DHC,GBF
ADG,BEH,CFI
Have fun!
-RD
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