Ok, I like math but my brain doesn't work well when you get past two dimensions.
I am trying to figure something out. Assume a hypothetical tournament which are all 3 player games. In the tournament everybody has to play everybody else once, but only once.
If there are three players it's easy, A,B,C. What's the next number of players that this format will work for? Can it be done with 9 or do you need 27, or is it some other number completely?
Is there an easy way to figure this out including who has to play who?