Eight (8) soccer teams (named A, B, C, D, E, F, G and H) are ready to a tournament among them, where each team will play against each of the other 7 teams once, and only once. They have 7 stadiums available, and agree that each team must play in all the 7 stadiums, once in each. In each round the 8 teams will play, so it will have 4 matches every day, and the tournament will last in 7 days.

Schedule the matches in each of the seven days, and in what stadiums they will be played.

"Note: Please do NOT punch the problem into a 3D graphics program and then rush to post the solution here so you can be first. This remains my most enjoyable solution to date because I attempted it without pen and paper, computer or polyhedron."

To those who it may concern!

 

Posted by pcbouhid on 2005-07-27 18:47:38