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I have 24 teams that will rotate to 12 stations (2 teams per station) Teams will not compete against another team more than once.

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closed as unclear what you're asking by MikeQ, feelinferrety, Beastly Gerbil, boboquack, JonMark Perry Sep 20 '17 at 0:09

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    $\begingroup$ Possible duplicate of Rotating teams through stations $\endgroup$ – MikeQ Sep 19 '17 at 19:48
  • $\begingroup$ Not clear. What it the question? $\endgroup$ – paparazzo Sep 19 '17 at 19:52
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    $\begingroup$ Instructions unclear. Rotated station and it is now upside down. $\endgroup$ – Irishpanda Sep 19 '17 at 20:07
  • $\begingroup$ This team builder is for 24 teams. I have 12 stations for the teams to rotate through. There will be 2 teams competing at each station. How do i rotate all of the teams through all of the stations competing against teams only once. $\endgroup$ – Leigh Dawson Sep 19 '17 at 20:19
  • $\begingroup$ Can one team visit the same station multiple times? And how many matches does each team need to play? Also, please see the question that I linked in my earlier comment, because yours is very similar and it may provide an answer for you. $\endgroup$ – MikeQ Sep 19 '17 at 20:38
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I got this trick from https://en.wikipedia.org/wiki/Edge_coloring#Examples.

Number the teams 1 to 24. Arrange teams 1 to 23 evenly spaced on the circumference of a circle, and place team 24 in the center.

On the $i$th round, for $i$ = 1, 2, ..., 23, have team 24 play against team $i$. For the other teams, divide them into pairs so that in each pair, the line connecting the two teams is perpendicular to the line connecting team $i$ to team 24. This means that team i – 1 plays i + 1, team i – 2 plays i + 2, and so on, where addition is modulo 23.

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    $\begingroup$ This ensures that every team plays every other team exactly once, but it makes no guarantee about how many times each team plays at each station... $\endgroup$ – Mike Earnest Sep 19 '17 at 22:11

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