Leaugue fixture puzzle
Last season someone on this forum very kindly helped me with our 5-a-side a league fixtures. The fixture structure has stayed the same but the number of teams has changed so I wondered if anyone out there could help me work out the new fixtures according to the rules..
We now have 9 teams in the league, call them Team A, B C.. to team H.
We have available 24 weekly blocks (although judging by my rude calculations we should only need 18 of these?).
Each week block has 6 game slots of 20 minutes each (2hrs).
The rules for this puzzle are..
All teams have to play each other 3 times over the course of the league (the concept of home and away does not need to preserved).
On a week that a team does play, that team has to play exactly two games
The two games can be played consecutively, but no team should have to wait more than 20 minutes between games
We had two leagues of 6 teams last season and this worked fine, and I'm told it should be possible with 9 but my maths just isn't up to even knowing where to start.
Any help will be very gratefully received!!
Thanks Wilmer - those links are OK as a general guide (although most of the images appear to be missing in the top link?) however the generator isn't intelligent enough to observe the practical rules of our league, i.e we have to have exactly 6 matches in a round (i.e one night) and teams have to play exactly 2 games, and each team can not have more than a 20 minute (1 game) wait between games.
That's where the tricky bit comes in!